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JIMO is an international journal devoted to publishing peer-reviewed, high quality, original papers on the non-trivial interplay between numerical optimization methods and practically significant problems in industry or management so as to achieve superior design, planning and/or operation. Its objective is to promote collaboration between optimization specialists, industrial practitioners and management scientists so that important practical industrial and management problems can be addressed by the use of appropriate, recent advanced optimization techniques.

It is particularly hoped that the study of these practical problems will lead to the discovery of new ideas and the development of novel methodologies in optimization.

  • AIMS is a member of COPE. All AIMS journals adhere to the publication ethics and malpractice policies outlined by COPE.
  • Publishes 4 issues a year in January, April, July and October.
  • Publishes both online and in print.
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  • Archived in Portico and CLOCKSS.
  • JIMO is published by the American Institute of Mathematical Sciences and sponsored by Curtin University and Zhejiang University. All rights reserved.


Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

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A potential reduction method for tensor complementarity problems
Kaili Zhang, Haibin Chen and Pengfei Zhao
2019, 15(2) : 429-443 doi: 10.3934/jimo.2018049 +[Abstract](1306) +[HTML](649) +[PDF](436.24KB)

As an extension of linear complementary problem, tensor complementary problem has been effectively applied in \begin{document}$ n $\end{document}-person noncooperative game. And a multitude of researchers have focused on its properties and theories, while the valid algorithms for tensor complementary problem is still deficient. In this paper, stimulated by the potential reduction method for linear complementarity problem, we present a new algorithm for the tensor complementarity problem, which combines the idea of damped Newton method and the interior point method. Utilizing the new algorithm, we settle the tensor complementary problem with the underlying tensor being diagonalizable and positive definite. Furthermore, the global convergence of the iterative scheme is theoretically guaranteed and the given preliminary numerical experiments indicate the efficiency of the method.

Dynamic optimal decision making for manufacturers with limited attention based on sparse dynamic programming
Haiying Liu, Wenjie Bi, Kok Lay Teo and Naxing Liu
2019, 15(2) : 445-464 doi: 10.3934/jimo.2018050 +[Abstract](1309) +[HTML](799) +[PDF](419.61KB)

In a fully competitive industry, the market demand is changing rapidly. Thus, it is important for manufacturers to manage their inventory effectively as well as to determine the best order quantity and optimal production strategy. In this paper, our concern is how shall a manufacturer with limited attention determine his optimal order quantity and optimal production strategy in an environment when many factors are volatile, such as the price of raw materials (respectively, finished goods) and attrition rate of inventory of raw materials (respectively, finished product). Under this environment, it is observed, according to various empirical studies, that decision makers tend to focus their attention on factors with major changes. Taking all these into account, our problem is formulated as a discrete-time stochastic dynamic programming. We propose a general approach based on the sparse dynamic programming method to solve this multidimensional dynamic programming problem. From the numerical examples solved using the proposed method, it is interesting to observe that decision makers with limited attention do not adjust their final decision when the volatility is small.

Higher-order weak radial epiderivatives and non-convex set-valued optimization problems
Qilin Wang, Liu He and Shengjie Li
2019, 15(2) : 465-480 doi: 10.3934/jimo.2018051 +[Abstract](1003) +[HTML](721) +[PDF](424.67KB)

In the paper, we propose the notion of the higher-order weak radial epiderivative of a set-valued map, and discuss some of its properties. Then, by virtue of the higher-order weak radial epiderivative, we establish the optimality necessary conditions and sufficient ones of weak efficient solutions (Pareto efficient solutions) for non-convex set-valued optimization problems. Some of the obtained results improve and extend the recent existing results. Several examples are provided to show the main results obtained.

Asymptotics for a bidimensional risk model with two geometric Lévy price processes
Yang Yang, Kaiyong Wang, Jiajun Liu and Zhimin Zhang
2019, 15(2) : 481-505 doi: 10.3934/jimo.2018053 +[Abstract](962) +[HTML](616) +[PDF](463.28KB)

Consider a bidimensional risk model with two geometric Lévy price processes and dependent heavy-tailed claims, in which we allow arbitrary dependence structures between the two claim-number processes generated by two kinds of businesses, and between the two geometric Lévy price processes. Under the assumption that the claims have consistently varying tails, the asymptotics for the infinite-time and finite-time ruin probabilities are derived.

Exclusion sets in the Δ-type eigenvalue inclusion set for tensors
Yaotang Li and Suhua Li
2019, 15(2) : 507-516 doi: 10.3934/jimo.2018054 +[Abstract](950) +[HTML](569) +[PDF](375.66KB)

By excluding some sets which don't include any eigenvalue of a given tensor from the Δ-type eigenvalue inclusion set, two new Δ-type eigenvalue inclusion sets of tensors are given. And two criteria for identifying nonsingular tensors are also provided by using the new Δ-type eigenvalue inclusion sets.

Optimal threshold strategies with capital injections in a spectrally negative Lévy risk model
Manman Li and George Yin
2019, 15(2) : 517-535 doi: 10.3934/jimo.2018055 +[Abstract](910) +[HTML](562) +[PDF](666.24KB)

This paper focuses on optimal threshold strategies for a spectrally negative Lévy (SNL) risk process with capital injections and proportional transaction costs. Restricted to solvency constraint, our model requires the shareholders of dividends prevent ruin by injecting capitals. Value function of the firm is assumed to be an expected discounted total [dividends less discounted capital injection]. Under such a setup, we derive certain key identities in connection with value function of the firm of a maximum dividend rate. Under restricted dividend rates and capital injection, we give analytical description of the maximum value function of the firm and the optimal threshold strategy explicitly.

Chance-constrained multiperiod mean absolute deviation uncertain portfolio selection
Peng Zhang
2019, 15(2) : 537-564 doi: 10.3934/jimo.2018056 +[Abstract](1444) +[HTML](920) +[PDF](510.41KB)

In this paper, we propose a new multiperiod mean absolute deviation uncertain chance-constrained portfolio selection model with transaction costs, borrowing constraints, threshold constraints and cardinality constraints. In proposed model, the return rate of asset is quantified by uncertain expected value and the risk is characterized by uncertain absolute deviation. The chance constraints are that the uncertain expected return of the portfolio selection is bigger than the preset return of investors under the given confidence level. Cardinality constraints limit the number of assets in the optimal portfolio and threshold constraints limit the amount of capital to be invested in each asset and prevent very small investments in any asset. Based on uncertain theories, the model is converted to a dynamic optimization problem. Because of the transaction costs and cardinality constraints, the multiperiod portfolio selection is a mix integer dynamic optimization problem with path dependence, which is "NP hard" problem. The proposed model is approximated to a mix integer dynamic programming model. A novel discrete iteration method is designed to obtain the optimal portfolio strategy, and is proved linearly convergent. Finally, an example is given to illustrate the behavior of the proposed model and the designed algorithm using real data from the Shanghai Stock Exchange.

An adaptive probabilistic algorithm for online k-center clustering
Ruiqi Yang, Dachuan Xu, Yicheng Xu and Dongmei Zhang
2019, 15(2) : 565-576 doi: 10.3934/jimo.2018057 +[Abstract](890) +[HTML](540) +[PDF](416.53KB)

The \begin{document}$k$\end{document}-center clustering is one of the well-studied clustering problems in computer science. We are given a set of data points \begin{document}$P\subseteq R^d$\end{document}, where \begin{document}$R^d$\end{document} is \begin{document}$d$\end{document} dimensional Euclidean space. We need to select \begin{document}$k≤ |P|$\end{document} points as centers and partition the set \begin{document}$P$\end{document} into \begin{document}$k$\end{document} clusters with each point connecting to its nearest center. The goal is to minimize the maximum radius. We consider the so-called online \begin{document}$k$\end{document}-center clustering model where the data points in \begin{document}$R^d$\end{document} arrive over time. We present the bi-criteria \begin{document}$(\frac{n}{k}, (\log\frac{U^*}{L^*})^2)$\end{document}-competitive algorithm and \begin{document}$(\frac{n}{k}, \logγ\log\frac{nγ}{k})$\end{document}-competitive algorithm for semi-online and fully-online \begin{document}$k$\end{document}-center clustering respectively, where \begin{document}$U^*$\end{document} is the maximum cluster radius of optimal solution, \begin{document}$L^*$\end{document} is the minimum distance of two distinct points of \begin{document}$P$\end{document}, \begin{document}$γ$\end{document} is the ratio of the maximum distance of two distinct points and the minimum distance of two distinct points of \begin{document}$P$\end{document} and \begin{document}$n$\end{document} is the number of points that will arrive in total.

An uncertain programming model for single machine scheduling problem with batch delivery
Jiayu Shen and Yuanguo Zhu
2019, 15(2) : 577-593 doi: 10.3934/jimo.2018058 +[Abstract](1184) +[HTML](629) +[PDF](246.62KB)

A single machine scheduling problem with batch delivery is studied in this paper. The objective is to minimize the total cost which comprises earliness penalties, tardiness penalties, holding and transportation costs. An integer programming model is proposed and two dominance properties are obtained. However, sometimes due to the lack of historical data, the worker evaluates the processing time of a job according to his past experience. A pessimistic value model of the single machine scheduling problem with batch delivery under an uncertain environment is presented. Since the objective function is non-monotonic with respect to uncertain variables, a hybrid algorithm based on uncertain simulation and a g#enetic algorithm (GA) is designed to solve the model. In addition, two dominance properties under the uncertain environment are also obtained. Finally, computational experiments are presented to illustrate the modeling idea and the effectiveness of the algorithm.

Anode effect prediction based on collaborative two-dimensional forecast model in aluminum electrolysis production
Zuguo Chen, Yonggang Li, Xiaofang Chen, Chunhua Yang and Weihua Gui
2019, 15(2) : 595-618 doi: 10.3934/jimo.2018060 +[Abstract](1030) +[HTML](1014) +[PDF](16325.84KB)

In this study, a new prediction algorithm is proposed, based on the collaborative two-dimensional forecast model (CTFM) that combines the traditional method and similarity search technique. The main idea of the algorithm is that the prediction of the change trend of the slope and the accumulated slope of the cell resistance as well as the useful knowledge obtained using the similarity search technique are used as the main criteria to calculate anode effect (AE)-prediction reliability. The accumulated mass deviation value is used as an auxiliary criterion to adjust the AE-prediction reliability. Finally, the current AE-process is marked according to the current AE-prediction reliability. The prediction model based on CTFM is tested on a real situation, in which multiple samples are extracted from the production of a 400 kA aluminum electrolysis cell. We observe that when the time advance of AE-prediction is within 20 ~ 40 min, the accuracy rate of the CTFM algorithm is greater than 95% and the applicability of the method is excellent, showing a high prediction accuracy for different aluminum electrolysis cells.

Optimum management of the network of city bus routes based on a stochastic dynamic model
Shi'an Wang and N. U. Ahmed
2019, 15(2) : 619-631 doi: 10.3934/jimo.2018061 +[Abstract](1085) +[HTML](605) +[PDF](1495.28KB)

In this paper, we develop a stochastic dynamic model for the network of city bus routes subject to resource and other practical constraints. We define an objective function on the basis of four terms: fuel cost, operating cost, customers waiting time, and revenue of the bus company. Hereafter, an optimization problem is formulated and solved by use of nonlinear integer programming. If the technique presented here is implemented, it is expected to boost the bus company's revenue, reduce waiting time and therefore promote customer satisfaction. A series of numerical experiments is carried out and the corresponding optimization problems are addressed giving the optimal number of buses allocated to each of the bus routes in the network. Since the dynamic model proposed here can be applied to any network of bus routes, it is believed that the procedure developed in this paper is of great potential for both the city bus company and the customers.

Immediate schedule adjustment and semidefinite relaxation
Jinling Zhao, Wei Chen and Su Zhang
2019, 15(2) : 633-645 doi: 10.3934/jimo.2018062 +[Abstract](977) +[HTML](587) +[PDF](530.15KB)

This paper considers the problem of temporary shortage of some resources within a project execution period. Mathematical models for two different cases of this problem are established. Semidefinite relaxation technique is applied to get immediate solvent of these models. Relationship between the models and their semidefinite relaxations is studied, and some numerical experiments are implemented, which show that these mathematical models are reasonable and feasible for practice, and semidefinite relaxation can efficiently solve the problem.

Sufficiency and duality in non-smooth interval valued programming problems
Deepak Singh, Bilal Ahmad Dar and Do Sang Kim
2019, 15(2) : 647-665 doi: 10.3934/jimo.2018063 +[Abstract](782) +[HTML](514) +[PDF](655.66KB)

In this paper a non-smooth optimization problem is studied in an uncertain environment. The objective function of this problem is interval valued function. We introduce the class of \begin{document}$LU-(p,r)-[ρ^L,ρ^U]-(η, θ)$\end{document}-invex interval valued functions about the Clarke generalized gradient. Then, through non trivial examples, we illustrate that the class of functions introduced exists. Based upon the proposed invexity assumptions, the sufficient optimality conditions are established. Further, we derive weak, strong and strict converse duality theorems for Mond-Weir type and Wolfe type dual programs. Some examples are also given in order to illustrate our results.

A joint dynamic pricing and production model with asymmetric reference price effect
Shichen Zhang, Jianxiong Zhang, Jiang Shen and Wansheng Tang
2019, 15(2) : 667-688 doi: 10.3934/jimo.2018064 +[Abstract](775) +[HTML](890) +[PDF](772.49KB)

Reference price plays a significant role in influencing purchase decisions of customers. Due to loss aversion, the asymmetric reference price effect on market demand should be taken into account. This paper develops a joint dynamic pricing and production model with asymmetric reference price effect. In a finite planning horizon, the demand rate is time-varying and depends on price as well as reference price. The decision-making problem with the asymmetric reference price effect turns to be a nonsmooth optimal control problem, which cannot be solved by standard optimal control method. As a special case, we first obtain the joint optimal dynamic pricing and production strategy with symmetric reference price effect by solving the corresponding standard optimal control problem based on Maximum principle. For the case of asymmetric reference price effect, we propose a systematical method on basis of optimality principle to solve the nonsmooth optimal control problem, and obtain the joint strategy. Numerical examples are employed to illustrate the effectiveness of the proposed method. In addition, we assess the sensitivity analysis of system parameters to examine the impacts of asymmetric reference price on optimal pricing and production strategies and total profits.

Optimal information policy in discrete-time queues with strategic customers
Veena Goswami and Gopinath Panda
2019, 15(2) : 689-703 doi: 10.3934/jimo.2018065 +[Abstract](743) +[HTML](726) +[PDF](434.62KB)

This paper studies optimal information revelation policies in discrete-time \begin{document}$Geo/Geo/1$\end{document} queue. Revealing the queue length information to arriving customers plays an important role in their decision making, that is, whether to join the system or balk. We consider policies where a service provider discloses information to some customers and conceals it from others, depending upon the number of waiting customers. This partial information disclosure policy helps the service provider minimize the idle period of the system and maximize the revenue.

Three concepts of robust efficiency for uncertain multiobjective optimization problems via set order relations
Hong-Zhi Wei and Chun-Rong Chen
2019, 15(2) : 705-721 doi: 10.3934/jimo.2018066 +[Abstract](886) +[HTML](570) +[PDF](904.15KB)

In this paper, we propose three concepts of robust efficiency for uncertain multiobjective optimization problems by replacing set order relations with the minmax less order relation, the minmax certainly less order relation and the minmax certainly nondominated order relation, respectively. We make interpretations for these concepts and analyze the relations between new concepts and the existent concepts of efficiency. Some examples are given to illustrate main concepts and results.

A proximal alternating direction method for multi-block coupled convex optimization
Foxiang Liu, Lingling Xu, Yuehong Sun and Deren Han
2019, 15(2) : 723-737 doi: 10.3934/jimo.2018067 +[Abstract](899) +[HTML](754) +[PDF](863.92KB)

In this paper, we propose a proximal alternating direction method (PADM) for solving the convex optimization problems with linear constraints whose objective function is the sum of multi-block separable functions and a coupled quadratic function. The algorithm generates the iterate via a simple correction step, where the descent direction is based on the PADM. We prove the convergence of the generated sequence under some mild assumptions. Finally, some familiar numerical results are reported for the new algorithm.

Selection of DRX scheme for voice traffic in LTE-A networks: Markov modeling and performance analysis
Anupam Gautam and Selvamuthu Dharmaraja
2019, 15(2) : 739-756 doi: 10.3934/jimo.2018068 +[Abstract](898) +[HTML](808) +[PDF](227.53KB)

Power saving is a leading issue in the User Equipment (UE) for limited source of power in Long Term Evolution-Advanced (LTE-A) networks. Battery power of an UE gets exhaust quickly due to the heavy use of many service applications and large data transmission. Discontinuous reception (DRX) is a mechanism used for power saving in UE in the LTE-A networks. There are scope of improvements in conventional DRX scheme in LTE-A networks for voice communication. In this paper, a DRX scheme is chosen by selecting optimal parameters of DRX scheme, while keeping Quality of Service (QoS) delay requirements. Further, delay analysis for first downlink packet is performed. Moreover, expressions for delay distribution and expected delay of any downlink packet, are obtained and represented graphically. Based on analytical model, the trade-off relationship between the power saving and queueing delay is investigated.

A proximal-projection partial bundle method for convex constrained minimax problems
Chunming Tang, Jinbao Jian and Guoyin Li
2019, 15(2) : 757-774 doi: 10.3934/jimo.2018069 +[Abstract](857) +[HTML](411) +[PDF](531.53KB)

In this paper, we propose a partial bundle method for a convex constrained minimax problem where the objective function is expressed as maximum of finitely many convex (not necessarily differentiable) functions. To avoid complete evaluation of all component functions of the objective, a partial cutting-planes model is adopted instead of the traditional one. Based on the proximal-projection idea, at each iteration, an unconstrained proximal subproblem is solved first to generate an aggregate linear model of the objective function, and then another subproblem based on this model is solved to obtain a trial point. Moreover, a new descent test criterion is proposed, which can not only simplify the presentation of the algorithm, but also improve the numerical performance significantly. An explicit upper bound for the number of bundle resets is also derived. Global convergence of the algorithm is established, and some preliminary numerical results show that our method is very encouraging.

Partially symmetric nonnegative rectangular tensors and copositive rectangular tensors
Yining Gu and Wei Wu
2019, 15(2) : 775-789 doi: 10.3934/jimo.2018070 +[Abstract](692) +[HTML](459) +[PDF](376.97KB)

In this paper, we prove a maximum property of the largest H-singular value of a partially symmetric nonnegative rectangular tensor, and establish some bounds for this singular value. Then we give the definition of copositive rectangular tensors. This concept extends from the concept of copositive square tensors. Partially symmetric nonnegative rectangular tensors and positive semi-definite rectangular tensors are examples of copositive rectangular tensors. We establish some necessary conditions and some sufficient conditions for a real partially symmetric rectangular tensor to be a copositive rectangular tensor. We also give an equivalent definition of strictly copositive rectangular tensors. Moreover, some further properties of copositive rectangular tensors are discussed.

Henig proper efficiency in vector optimization with variable ordering structure
Marius Durea, Elena-Andreea Florea and Radu Strugariu
2019, 15(2) : 791-815 doi: 10.3934/jimo.2018071 +[Abstract](767) +[HTML](501) +[PDF](447.27KB)

In this paper we introduce a notion of Henig proper efficiency for constrained vector optimization problems in the setting of variable ordering structure. In order to get an appropriate concept, we have to explore firstly the case of fixed ordering structure and to observe that, in certain situations, the well-known Henig proper efficiency can be expressed in a simpler way. Then, we observe that the newly introduced notion can be reduced, by a Clarke-type penalization result, to the notion of unconstrained robust efficiency. We show that this penalization technique, coupled with sufficient conditions for weak openness, serves as a basis for developing necessary optimality conditions for our Henig proper efficiency in terms of generalized differentiation objects lying in both primal and dual spaces.

On the global optimal solution for linear quadratic problems of switched system
Jin Feng He, Wei Xu, Zhi Guo Feng and Xinsong Yang
2019, 15(2) : 817-832 doi: 10.3934/jimo.2018072 +[Abstract](727) +[HTML](685) +[PDF](385.3KB)

The global optimal solution for the optimal switching problem is considered in discrete time, where these subsystems are linear and the cost functional is quadratic. The optimal switching problem is a discrete optimization problem. Complete enumeration search is always required to find the global optimal solution, which is very expensive. Relaxation method is an effective method to transform the discrete optimization problem into the continuous optimization problem, while the optimal solution is always not the feasible solution of the discrete optimization problem. In this paper, we propose a special class of relaxation method to transform the optimal switching problem into a relaxed optimization problem. We prove that the optimal solution of this modified relaxed optimization problem is exactly that of the optimal switching problem. Then, the global optimal solution can be obtained by solving the continuous optimization problem easily. Numerical examples are demonstrated to show that the modified relaxation method is efficient and effective to obtain the global optimal solution.

Exact and heuristic methods for personalized display advertising in virtual reality platforms
Kemal Kilic, Menekse G. Saygi and Semih O. Sezer
2019, 15(2) : 833-854 doi: 10.3934/jimo.2018073 +[Abstract](852) +[HTML](617) +[PDF](580.74KB)

In this paper, motivated from a real problem faced by an online Virtual Reality (VR) platform provider, we study a personalized advertisement assignment problem. In this platform users log in/out and change their virtual locations. A number of advertisers are willing to pay for ad locations to reach these users. Every time a user visits a new location, the company displays one of the ads. At the end of a fixed time horizon, a reward is collected which depends on the number of ads of each advertiser displayed to different users. The objective is to assign ads dynamically to maximize the expected reward. The problem is studied in a framework where the behaviors of users are modeled with two-state continuous-time Markov processes. We describe two exact and four heuristic algorithms. We compare these algorithms and conduct a sensitivity analysis over problem and algorithm specific parameters. These are the main contributions of the current paper. Exact algorithms suffer from the curse of dimensionality, hence, heuristic methods might be considered instead in some cases. However, exact methods can also be used as part of heuristics since the experimental analysis demonstrates that they are robust for parameters that influence the computational requirements.

An integrated Principal Component Analysis and multi-objective mathematical programming approach to agile supply chain network design under uncertainty
Azam Moradi, Jafar Razmi, Reza Babazadeh and Ali Sabbaghnia
2019, 15(2) : 855-879 doi: 10.3934/jimo.2018074 +[Abstract](9452) +[HTML](2299) +[PDF](2223.32KB)

The design of agile supply chain networks has attracted more attention in recent years according to the competitive business environment. Further, due to high degree of uncertainty in agile supply chains (SCs), developing robust and efficient decision making tools are of interest. In this study, an integrated approach based on principal component analysis (PCA) and multi-objective possibilistic mixed integer programming (MOPMIP) approaches is proposed to optimally design agile supply chain network under uncertainty. The PCA method is used for ranking and filtering the suppliers, constituting the first layer of the supply chain, based on agility criteria. The proposed MOPMIP model is employed to construct the agile supply chain network under uncertainty. In the proposed MOPMIP model, three objective functions including 1) total costs minimization, 2) total delivery time minimization and 3) maximization of flexibility are considered. An interactive fuzzy solution approach is used to solve the proposed MOPMILP model. Two numerical examples, is conducted to evaluate the performance and efficiency of the proposed integrated approach for agile supply chain network design under uncertainty.

Test of copositive tensors
Li Li, Xinzhen Zhang, Zheng-Hai Huang and Liqun Qi
2019, 15(2) : 881-891 doi: 10.3934/jimo.2018075 +[Abstract](825) +[HTML](454) +[PDF](378.85KB)

In this paper, an SDP relaxation algorithm is proposed to test the copositivity of higher order tensors. By solving finitely many SDP relaxations, the proposed algorithm can determine the copositivity of higher order tensors. Furthermore, for any copositive but not strictly copositive tensor, the algorithm can also check it exactly. Some numerical results are reported to show the efficiency of the proposed algorithm.

A semidefinite relaxation algorithm for checking completely positive separable matrices
Anwa Zhou and Jinyan Fan
2019, 15(2) : 893-908 doi: 10.3934/jimo.2018076 +[Abstract](614) +[HTML](603) +[PDF](472.72KB)

A symmetric matrix \begin{document}$A$ \end{document} is completely positive (CP) if there exists an entrywise nonnegative matrix \begin{document}$V$ \end{document} such that \begin{document}$A = VV ^T$ \end{document}. A real symmetric matrix is called completely positive separable (CPS) if it can be written as a sum of rank-1 Kronecker products of completely positive matrices. This paper studies the CPS problem. A criterion is given to determine whether a given matrix is CPS, and a specific CPS decomposition is constructed if the matrix is CPS.

A difference of convex optimization algorithm for piecewise linear regression
Adil Bagirov, Sona Taheri and Soodabeh Asadi
2019, 15(2) : 909-932 doi: 10.3934/jimo.2018077 +[Abstract](674) +[HTML](837) +[PDF](4569.44KB)

The problem of finding a continuous piecewise linear function approximating a regression function is considered. This problem is formulated as a nonconvex nonsmooth optimization problem where the objective function is represented as a difference of convex (DC) functions. Subdifferentials of DC components are computed and an algorithm is designed based on these subdifferentials to find piecewise linear functions. The algorithm is tested using some synthetic and real world data sets and compared with other regression algorithms.

Global error bounds for the tensor complementarity problem with a P-tensor
Mengmeng Zheng, Ying Zhang and Zheng-Hai Huang
2019, 15(2) : 933-946 doi: 10.3934/jimo.2018078 +[Abstract](741) +[HTML](578) +[PDF](388.56KB)

As a natural extension of the linear complementarity problem, the tensor complementarity problem has been studied recently; and many theoretical results have been obtained. In this paper, we investigate the global error bound for the tensor complementarity problem with a P-tensor. We give two global error bounds for this class of complementarity problems with the help of two positively homogeneous operators defined by a P-tensor. When the order of the involved tensor reduces to 2, the results obtained in this paper coincide exactly with the one for the linear complementarity problem.

Predicting 72-hour reattendance in emergency departments using discriminant analysis via mixed integer programming with electronic medical records
Fanwen Meng, Kiok Liang Teow, Kelvin Wee Sheng Teo, Chee Kheong Ooi and Seow Yian Tay
2019, 15(2) : 947-962 doi: 10.3934/jimo.2018079 +[Abstract](979) +[HTML](706) +[PDF](428.99KB)

The proportion of patients who reattended emergency department (ED) within 72 hours is an important indicator of quality of care. This study develops a practical framework to predict patients who will reattend ED in 72 hours from clinical perspectives. We analyze 328,733 ED patients from 1 January 2011 to 31 December 2013, with an average of 4.6% reattendances. We feature over 100 factors including demographics, diagnosis, patient acuity, chief complaints, selected laboratory tests, summarized vital signs. Using univariate analysis, a pool of risk variables is selected for subsequent factor selection. We then apply filter methods to derive a set of candidate factors. With these factors in combination with suggestions from ED clinicians, a mixed integer programming model based on discriminant analysis is proposed to determine a classification rule for 72-hour reattendance. In numerical experiments, various small subsets of risk factors are used for classification and prediction. The results show that favorable predicting performances can be achieved in both training and test sets.

A new relaxed CQ algorithm for solving split feasibility problems in Hilbert spaces and its applications
Aviv Gibali, Dang Thi Mai and Nguyen The Vinh
2019, 15(2) : 963-984 doi: 10.3934/jimo.2018080 +[Abstract](783) +[HTML](686) +[PDF](1670.8KB)

Inspired by the works of López et al. [21] and the recent paper of Dang et al. [15], we devise a new inertial relaxation of the CQ algorithm for solving Split Feasibility Problems (SFP) in real Hilbert spaces. Under mild and standard conditions we establish weak convergence of the proposed algorithm. We also propose a Mann-type variant which converges strongly. The performances and comparisons with some existing methods are presented through numerical examples in Compressed Sensing and Sparse Binary Tomography by solving the LASSO problem.

Predicting non-life insurer's insolvency using non-kernel fuzzy quadratic surface support vector machines
Ye Tian, Wei Yang, Gene Lai and Menghan Zhao
2019, 15(2) : 985-999 doi: 10.3934/jimo.2018081 +[Abstract](810) +[HTML](648) +[PDF](387.44KB)

Due to the serious consequence caused by insurers' insolvency, how to accurately predict insolvency becomes a very important issue in this area. Many methods have been developed to do this task by using some firm-level financial information. In this paper, we propose a new approach which incorporates several macroeconomic factors in the model and applies feature selection to eliminate the bad effect of some unrelated variables. In this way, we can obtain a more comprehensive and accurate model. More importantly, our method is based on the state-of-the-art non-kernel fuzzy quadratic surface support vector machine (FQSSVM) model which not only performs superiorly in prediction, but also becomes very applicable to the users. Finally, we conduct some numerical experiments based on the real data of non-lifer insurers from USA to show the predictive power and efficiency of our proposed method compared with other benchmark methods. Specifically, in a reasonable computational time, FQSSVM has the most accurate prediction rate and least Type Ⅰ and Type Ⅱ errors.

Robust and sparse portfolio model for index tracking
Chao Zhang, Jingjing Wang and Naihua Xiu
2018doi: 10.3934/jimo.2018082 +[Abstract](855) +[HTML](619) +[PDF](373.42KB)
Global and local advertising strategies: A dynamic multi-market optimal control model
Marcelo J. Villena and Mauricio Contreras
2018doi: 10.3934/jimo.2018084 +[Abstract](1098) +[HTML](549) +[PDF](1932.33KB)
Optimization of a condition-based duration-varying preventive maintenance policy for the stockless production system based on queueing model
Jianyu Cao and Weixin Xie
2018doi: 10.3934/jimo.2018085 +[Abstract](637) +[HTML](545) +[PDF](757.55KB)
Performance analysis of a cooperative flow game algorithm in ad hoc networks and a comparison to Dijkstra's algorithm
Serap Ergün, Sirma Zeynep Alparslan Gök, Tuncay Aydoǧan and Gerhard Wilhelm Weber
2018doi: 10.3934/jimo.2018086 +[Abstract](1057) +[HTML](666) +[PDF](581.26KB)
Unified optimality conditions for set-valued optimizations
Geng-Hua Li and Sheng-Jie Li
2018doi: 10.3934/jimo.2018087 +[Abstract](669) +[HTML](401) +[PDF](348.15KB)
Single-machine bi-criterion scheduling with release times and exponentially time-dependent learning effects
Ping Yan, Ji-Bo Wang and Li-Qiang Zhao
2018doi: 10.3934/jimo.2018088 +[Abstract](656) +[HTML](592) +[PDF](391.04KB)
Optimality conditions and duality for minimax fractional programming problems with data uncertainty
Xiao-Bing Li, Qi-Lin Wang and Zhi Lin
2018doi: 10.3934/jimo.2018089 +[Abstract](716) +[HTML](434) +[PDF](410.88KB)
The optimal pricing and ordering policy for temperature sensitive products considering the effects of temperature on demand
Bing-Bing Cao, Zhi-Ping Fan and Tian-Hui You
2018doi: 10.3934/jimo.2018090 +[Abstract](775) +[HTML](412) +[PDF](509.13KB)
Maritime inventory routing problem with multiple time windows
Nurhadi Siswanto, Stefanus Eko Wiratno, Ahmad Rusdiansyah and Ruhul Sarker
2018doi: 10.3934/jimo.2018091 +[Abstract](1018) +[HTML](659) +[PDF](969.83KB)
Linear bilevel multiobjective optimization problem: Penalty approach
Yibing Lv and Zhongping Wan
2018doi: 10.3934/jimo.2018092 +[Abstract](810) +[HTML](465) +[PDF](343.71KB)
A hybrid inconsistent sustainable chemical industry evaluation method
Ying Han, Zhenyu Lu and Sheng Chen
2018doi: 10.3934/jimo.2018093 +[Abstract](678) +[HTML](507) +[PDF](950.01KB)
A smoothing augmented Lagrangian method for nonconvex, nonsmooth constrained programs and its applications to bilevel problems
Qingsong Duan, Mengwei Xu, Yue Lu and Liwei Zhang
2018doi: 10.3934/jimo.2018094 +[Abstract](668) +[HTML](607) +[PDF](431.91KB)
Bi-objective integrated supply chain design with transportation choices: A multi-objective particle swarm optimization
Xia Zhao and Jianping Dou
2018doi: 10.3934/jimo.2018095 +[Abstract](1062) +[HTML](967) +[PDF](3066.77KB)
Note on : Supply chain inventory model for deteriorating items with maximum lifetime and partial trade credit to credit risk customers
Prasenjit Pramanik, Sarama Malik Das and Manas Kumar Maiti
2018doi: 10.3934/jimo.2018096 +[Abstract](1462) +[HTML](759) +[PDF](577.0KB)
An inventory model with imperfect item, inspection errors, preventive maintenance and partial backlogging in uncertainty environment
Javad Taheri-Tolgari, Mohammad Mohammadi, Bahman Naderi, Alireza Arshadi-Khamseh and Abolfazl Mirzazadeh
2018doi: 10.3934/jimo.2018097 +[Abstract](1177) +[HTML](629) +[PDF](2936.83KB)
Multi-item deteriorating two-echelon inventory model with price- and stock-dependent demand: A trade-credit policy
Magfura Pervin, Sankar Kumar Roy and Gerhard Wilhelm Weber
2018doi: 10.3934/jimo.2018098 +[Abstract](1001) +[HTML](585) +[PDF](617.04KB)
Stability in mean for fuzzy differential equation
Cuilian You and Yangyang Hao
2018doi: 10.3934/jimo.2018099 +[Abstract](621) +[HTML](402) +[PDF](164.11KB)
Perturbation analysis of a class of conic programming problems under Jacobian uniqueness conditions
Ziran Yin and Liwei Zhang
2018doi: 10.3934/jimo.2018100 +[Abstract](784) +[HTML](491) +[PDF](320.27KB)
Necessary optimality conditions for nonautonomous optimal control problems and its applications to bilevel optimal control
Jianxiong Ye and An Li
2018doi: 10.3934/jimo.2018101 +[Abstract](687) +[HTML](361) +[PDF](443.76KB)
Performance analysis of a discrete-time $ Geo/G/1$ retrial queue with non-preemptive priority, working vacations and vacation interruption
Shaojun Lan and Yinghui Tang
2018doi: 10.3934/jimo.2018102 +[Abstract](650) +[HTML](463) +[PDF](695.4KB)
Probabilistic control of Markov jump systems by scenario optimization approach
Yanqing Liu, Yanyan Yin, Kok Lay Teo, Song Wang and Fei Liu
2018doi: 10.3934/jimo.2018103 +[Abstract](753) +[HTML](453) +[PDF](392.78KB)
Online and offline cooperation under buy-online, pick-up-in-store: Pricing and inventory decisions
Chen Fan, Yongmei Liu, Xuehua Yang, Xiaohong Chen and Junhua Hu
2018doi: 10.3934/jimo.2018104 +[Abstract](772) +[HTML](623) +[PDF](766.21KB)
Risk measure optimization: Perceived risk and overconfidence of structured product investors
Xi Chen, Zongrun Wang, Songhai Deng and Yong Fang
2018doi: 10.3934/jimo.2018105 +[Abstract](775) +[HTML](511) +[PDF](981.72KB)
Multiperiod portfolio optimization for asset-liability management with quadratic transaction costs
Zhongbao Zhou, Ximei Zeng, Helu Xiao, Tiantian Ren and Wenbin Liu
2018doi: 10.3934/jimo.2018106 +[Abstract](704) +[HTML](544) +[PDF](508.45KB)
An interior point continuous path-following trajectory for linear programming
Liming Sun and Li-Zhi Liao
2018doi: 10.3934/jimo.2018107 +[Abstract](732) +[HTML](488) +[PDF](423.11KB)
CP and MIP approaches for soccer analysis
Robinson Duque, Alejandro Arbelaez and Juan Francisco Díaz
2018doi: 10.3934/jimo.2018109 +[Abstract](955) +[HTML](541) +[PDF](813.39KB)
Fair-fixture: Minimizing carry-over effects in football leagues
Dilek Günneç and Ezgi Demir
2018doi: 10.3934/jimo.2018110 +[Abstract](883) +[HTML](667) +[PDF](293.19KB)
Optimal pricing of perishable products with replenishment policy in the presence of strategic consumers
Guodong Yi, Xiaohong Chen and Chunqiao Tan
2018doi: 10.3934/jimo.2018112 +[Abstract](692) +[HTML](456) +[PDF](446.56KB)
Equilibrium and optimal balking strategies for low-priority customers in the M/G/1 queue with two classes of customers and preemptive priority
Biao Xu, Xiuli Xu and Zhong Yao
2018doi: 10.3934/jimo.2018113 +[Abstract](602) +[HTML](432) +[PDF](583.55KB)
Online ordering strategy for the discrete newsvendor problem with order value-based free-shipping
Yong Zhang, Huifen Zhong, Yue Liu and Menghu Huang
2018doi: 10.3934/jimo.2018114 +[Abstract](555) +[HTML](492) +[PDF](337.17KB)
Coordinating a multi-echelon supply chain under production disruption and price-sensitive stochastic demand
Bibhas C. Giri and Bhaba R. Sarker
2018doi: 10.3934/jimo.2018115 +[Abstract](819) +[HTML](650) +[PDF](747.33KB)
Asymptotic convergence of stationary points of stochastic multiobjective programs with parametric variational inequality constraint via SAA approach
Liping Pang, Fanyun Meng and Jinhe Wang
2018doi: 10.3934/jimo.2018116 +[Abstract](571) +[HTML](536) +[PDF](557.11KB)
Recovering optimal solutions via SOC-SDP relaxation of trust region subproblem with nonintersecting linear constraints
Jinyu Dai, Shu-Cherng Fang and Wenxun Xing
2018doi: 10.3934/jimo.2018117 +[Abstract](670) +[HTML](478) +[PDF](465.92KB)
Coordinating the supplier-retailer supply chain under noise effect with bundling and inventory strategies
Ata Allah Taleizadeh, Leopoldo Eduardo Cárdenas-Barrón and Roya Sohani
2018doi: 10.3934/jimo.2018118 +[Abstract](926) +[HTML](590) +[PDF](536.13KB)
A note on network repair crew scheduling and routing for emergency relief distribution problem
Huai-Che Hong and Bertrand M. T. Lin
2018doi: 10.3934/jimo.2018119 +[Abstract](457) +[HTML](348) +[PDF](267.67KB)
A savings analysis of horizontal collaboration among VMI suppliers
Benedikt De Vos, Birger Raa and Stijn De Vuyst
2018doi: 10.3934/jimo.2018120 +[Abstract](1023) +[HTML](317) +[PDF](520.17KB)
Coordination of VMI supply chain with a loss-averse manufacturer under quality-dependency and marketing-dependency
Fuyou Huang, Juan He and Jian Wang
2018doi: 10.3934/jimo.2018121 +[Abstract](709) +[HTML](431) +[PDF](385.61KB)
Memoryless quasi-Newton methods based on spectral-scaling Broyden family for unconstrained optimization
Shummin Nakayama, Yasushi Narushima and Hiroshi Yabe
2018doi: 10.3934/jimo.2018122 +[Abstract](915) +[HTML](676) +[PDF](385.67KB)
Homotopy method for solving generalized Nash equilibrium problem with equality and inequality constraints
Xiaona Fan, Li Jiang and Mengsi Li
2018doi: 10.3934/jimo.2018123 +[Abstract](645) +[HTML](397) +[PDF](401.3KB)
Uncertain portfolio selection with mental accounts and background risk
Li Xue and Hao Di
2018doi: 10.3934/jimo.2018124 +[Abstract](846) +[HTML](463) +[PDF](481.51KB)
Capital-constrained supply chain with multiple decision attributes: Decision optimization and coordination analysis
Nina Yan, Tingting Tong and Hongyan Dai
2018doi: 10.3934/jimo.2018125 +[Abstract](801) +[HTML](452) +[PDF](1021.33KB)
An economic order quantity for deteriorating items with allowable rework of deteriorated products
Mahdi Karimi, Seyed Jafar Sadjadi and Alireza Ghasemi Bijaghini
2018doi: 10.3934/jimo.2018126 +[Abstract](1278) +[HTML](1210) +[PDF](776.15KB)
Sparse probabilistic Boolean network problems: A partial proximal-type operator splitting method
Kangkang Deng, Zheng Peng and Jianli Chen
2018doi: 10.3934/jimo.2018127 +[Abstract](526) +[HTML](485) +[PDF](525.84KB)
Dual algorithms based on the proximal bundle method for solving convex minimax fractional programs
Hssaine Boualam and Ahmed Roubi
2018doi: 10.3934/jimo.2018128 +[Abstract](508) +[HTML](393) +[PDF](451.49KB)
A mean-reverting currency model with floating interest rates in uncertain environment
Weiwei Wang and Ping Chen
2018doi: 10.3934/jimo.2018129 +[Abstract](659) +[HTML](362) +[PDF](333.74KB)
Optimal investment and consumption in the market with jump risk and capital gains tax
Yong Ma, Shiping Shan and Weidong Xu
2018doi: 10.3934/jimo.2018130 +[Abstract](725) +[HTML](412) +[PDF](378.25KB)
Scheduling with step-deteriorating jobs to minimize the makespan
Cuixia Miao and Yuzhong Zhang
2018doi: 10.3934/jimo.2018131 +[Abstract](510) +[HTML](418) +[PDF](308.39KB)
Optimal dividend policy with liability constraint under a hidden Markov regime-switching model
Jiaqin Wei, Zhuo Jin and Hailiang Yang
2018doi: 10.3934/jimo.2018132 +[Abstract](518) +[HTML](475) +[PDF](507.74KB)
Extreme values problem of uncertain heat equation
Xiangfeng Yang and Yaodong Ni
2018doi: 10.3934/jimo.2018133 +[Abstract](526) +[HTML](311) +[PDF](315.82KB)
An efficient algorithm for non-convex sparse optimization
Yong Wang, Wanquan Liu and Guanglu Zhou
2018doi: 10.3934/jimo.2018134 +[Abstract](588) +[HTML](291) +[PDF](600.83KB)
Double projection algorithms for solving the split feasibility problems
Ya-zheng Dang, Jie Sun and Su Zhang
2018doi: 10.3934/jimo.2018135 +[Abstract](447) +[HTML](333) +[PDF](351.47KB)
An accelerated augmented Lagrangian method for multi-criteria optimization problem
Xueyong Wang, Yiju Wang and Gang Wang
2018doi: 10.3934/jimo.2018136 +[Abstract](434) +[HTML](279) +[PDF](326.1KB)
Fairness preference based decision-making model for concession period in PPP projects
Xue Yan, Heap-Yih Chong, Jing Zhou, Zhaohan Sheng and Feng Xu
2018doi: 10.3934/jimo.2018137 +[Abstract](459) +[HTML](372) +[PDF](2195.5KB)
Continuity of solutions mappings of parametric set optimization problems
Jiawei Chen, Guangmin Wang, Xiaoqing Ou and Wenyan Zhang
2018doi: 10.3934/jimo.2018138 +[Abstract](597) +[HTML](276) +[PDF](388.8KB)
A new class of global fractional-order projective dynamical system with an application
Zeng-bao Wu, Yun-zhi Zou and Nan-jing Huang
2018doi: 10.3934/jimo.2018139 +[Abstract](468) +[HTML](314) +[PDF](379.19KB)
Necessary optimality condition for trilevel optimization problem
Gaoxi Li, Zhongping Wan, Jia-wei Chen and Xiaoke Zhao
2018doi: 10.3934/jimo.2018140 +[Abstract](425) +[HTML](398) +[PDF](377.53KB)
Asset liability management for an ordinary insurance system with proportional reinsurance in a CIR stochastic interest rate and Heston stochastic volatility framework
Yan Zhang, Yonghong Wu, Benchawan Wiwatanapataphee and Francisca Angkola
2018doi: 10.3934/jimo.2018141 +[Abstract](495) +[HTML](350) +[PDF](1390.16KB)
Improved Cuckoo Search algorithm for numerical function optimization
Jianjun Liu, Min Zeng, Yifan Ge, Changzhi Wu and Xiangyu Wang
2018doi: 10.3934/jimo.2018142 +[Abstract](615) +[HTML](407) +[PDF](477.16KB)
Interdependent demand in the two-period newsvendor problem
Reza Lotfi, Gerhard-Wilhelm Weber, S. Mehdi Sajadifar and Nooshin Mardani
2018doi: 10.3934/jimo.2018143 +[Abstract](956) +[HTML](313) +[PDF](688.84KB)
Application of preservation technology for lifetime dependent products in an integrated production system
Muhammad Waqas Iqbal and Biswajit Sarkar
2018doi: 10.3934/jimo.2018144 +[Abstract](622) +[HTML](351) +[PDF](580.69KB)
Optimization of fourth order Sturm-Liouville type differential inclusions with initial point constraints
Elimhan N. Mahmudov
2018doi: 10.3934/jimo.2018145 +[Abstract](403) +[HTML](272) +[PDF](447.77KB)
Application of the preventive maintenance scheduling to increase the equipment reliability: Case study- bag filters in cement factory
Masoud Ebrahimi, Seyyed Mohammad Taghi Fatemi Ghomi and Behrooz Karimi
2018doi: 10.3934/jimo.2018146 +[Abstract](478) +[HTML](370) +[PDF](575.67KB)
Robust optimal consumption-investment strategy with non-exponential discounting
Jiaqin Wei, Danping Li and Yan Zeng
2018doi: 10.3934/jimo.2018147 +[Abstract](450) +[HTML](404) +[PDF](519.11KB)
Single machine and flowshop scheduling problems with sum-of-processing time based learning phenomenon
Xingong Zhang
2018doi: 10.3934/jimo.2018148 +[Abstract](451) +[HTML](252) +[PDF](317.95KB)
A three term Polak-Ribière-Polyak conjugate gradient method close to the memoryless BFGS quasi-Newton method
Min Li
2018doi: 10.3934/jimo.2018149 +[Abstract](592) +[HTML](355) +[PDF](555.36KB)
Mechanism design in a supply chain with ambiguity in private information
Feimin Zhong, Wei Zeng and Zhongbao Zhou
2018doi: 10.3934/jimo.2018151 +[Abstract](458) +[HTML](362) +[PDF](484.63KB)
Pricing and modularity decisions under competition
Feng Tao, Hao Shao and KinKeung Lai
2018doi: 10.3934/jimo.2018152 +[Abstract](466) +[HTML](333) +[PDF](577.79KB)
On the M-eigenvalue estimation of fourth-order partially symmetric tensors
Haitao Che, Haibin Chen and Yiju Wang
2018doi: 10.3934/jimo.2018153 +[Abstract](515) +[HTML](281) +[PDF](200.95KB)
Optimal investment and dividend for an insurer under a Markov regime switching market with high gain tax
Lin Xu, Dingjun Yao and Gongpin Cheng
2018doi: 10.3934/jimo.2018154 +[Abstract](499) +[HTML](440) +[PDF](573.09KB)
A simple and efficient technique to accelerate the computation of a nonlocal dielectric model for electrostatics of biomolecule
Jiao Li and Jinyong Ying
2018doi: 10.3934/jimo.2018155 +[Abstract](499) +[HTML](338) +[PDF](455.96KB)
Analysis of strategic customer behavior in fuzzy queueing systems
Gang Chen, Zaiming Liu and Jingchuan Zhang
2018doi: 10.3934/jimo.2018157 +[Abstract](487) +[HTML](339) +[PDF](497.66KB)
Option pricing formulas for generalized fuzzy stock model
Cuilian You and Le Bo
2018doi: 10.3934/jimo.2018158 +[Abstract](476) +[HTML](247) +[PDF](266.45KB)
A $p$-spherical section property for matrix Schatten-$p$ quasi-norm minimization
Yifu Feng and Min Zhang
2018doi: 10.3934/jimo.2018159 +[Abstract](333) +[HTML](250) +[PDF](330.29KB)
A hybrid chaos firefly algorithm for three-dimensional irregular packing problem
Chuanxin Zhao, Lin Jiang and Kok Lay Teo
2018doi: 10.3934/jimo.2018160 +[Abstract](415) +[HTML](379) +[PDF](678.77KB)
A fast algorithm for the semi-definite relaxation of the state estimation problem in power grids
Stephane Chretien and Paul Clarkson
2018doi: 10.3934/jimo.2018161 +[Abstract](300) +[HTML](316) +[PDF](392.91KB)
Group decision making approach based on possibility degree measure under linguistic interval-valued intuitionistic fuzzy set environment
Harish Garg and Kamal Kumar
2018doi: 10.3934/jimo.2018162 +[Abstract](508) +[HTML](317) +[PDF](455.76KB)
Some characterizations of robust solution sets for uncertain convex optimization problems with locally Lipschitz inequality constraints
Nithirat Sisarat, Rabian Wangkeeree and Gue Myung Lee
2018doi: 10.3934/jimo.2018163 +[Abstract](465) +[HTML](288) +[PDF](483.48KB)
An efficient heuristic algorithm for two-dimensional rectangular packing problem with central rectangle
Mao Chen, Xiangyang Tang, Zhizhong Zeng and Sanya Liu
2018doi: 10.3934/jimo.2018164 +[Abstract](519) +[HTML](269) +[PDF](746.91KB)
Strong vector equilibrium problems with LSC approximate solution mappings
Nguyen Ba Minh and Pham Huu Sach
2018doi: 10.3934/jimo.2018165 +[Abstract](346) +[HTML](250) +[PDF](393.96KB)
Continuous-time mean-variance portfolio selection with no-shorting constraints and regime-switching
Ping Chen and Haixiang Yao
2018doi: 10.3934/jimo.2018166 +[Abstract](373) +[HTML](304) +[PDF](496.6KB)
A two-warehouse probabilistic model with price discount on backorders under two levels of trade-credit policy
Sankar Kumar Roy, Magfura Pervin and Gerhard Wilhelm Weber
2018doi: 10.3934/jimo.2018167 +[Abstract](401) +[HTML](260) +[PDF](713.67KB)
Identification and robustness analysis of nonlinear hybrid dynamical system of genetic regulation in continuous culture
Qi Yang, Lei Wang, Enmin Feng, Hongchao Yin and Zhilong Xiu
2018doi: 10.3934/jimo.2018168 +[Abstract](309) +[HTML](252) +[PDF](729.87KB)
Evaluation strategy and mass balance for making decision about the amount of aluminum fluoride addition based on superheat degree
Weichao Yue, Weihua Gui, Xiaofang Chen, Zhaohui Zeng and Yongfang Xie
2018doi: 10.3934/jimo.2018169 +[Abstract](395) +[HTML](274) +[PDF](2000.5KB)
Optimality conditions for multiobjective fractional programming, via convexificators
Mansoureh Alavi Hejazi and Soghra Nobakhtian
2018doi: 10.3934/jimo.2018170 +[Abstract](340) +[HTML](290) +[PDF](329.76KB)
A new method for ranking decision making units using common set of weights: A developed criterion
Gholam Hassan Shirdel and Somayeh Ramezani-Tarkhorani
2018doi: 10.3934/jimo.2018171 +[Abstract](419) +[HTML](329) +[PDF](381.87KB)
Designing a hub location and pricing network in a competitive environment
Maryam Esmaeili and Samane Sedehzade
2018doi: 10.3934/jimo.2018172 +[Abstract](378) +[HTML](341) +[PDF](528.67KB)
Shipper collaboration in forward and reverse logistics
Xiaohui Lyu, Nengmin Wang, Zhen Yang and Haoxun Chen
2018doi: 10.3934/jimo.2018173 +[Abstract](601) +[HTML](249) +[PDF](834.07KB)
Vector-valued separation functions and constrained vector optimization problems: optimality and saddle points
Jiawei Chen, Shengjie Li and Jen-Chih Yao
2018doi: 10.3934/jimo.2018174 +[Abstract](336) +[HTML](126) +[PDF](413.09KB)
Optimal pricing and inventory strategies for introducing a new product based on demand substitution effects
Zhijie Sasha Dong, Wei Chen, Qing Zhao and Jingquan Li
2018doi: 10.3934/jimo.2018175 +[Abstract](223) +[HTML](127) +[PDF](371.29KB)
Risk-balanced territory design optimization for a Micro finance institution
Jesús Fabián López Pérez, Tahir Ekin, Jesus A. Jimenez and Francis A. Méndez Mediavilla
2018doi: 10.3934/jimo.2018176 +[Abstract](219) +[HTML](132) +[PDF](517.13KB)
Multi-objective robust cross-market mixed portfolio optimization under hierarchical risk integration
Han Yang, Jia Yue and Nan-jing Huang
2018doi: 10.3934/jimo.2018177 +[Abstract](245) +[HTML](120) +[PDF](624.0KB)
A real-time pricing scheme considering load uncertainty and price competition in smart grid market
Yeming Dai, Yan Gao, Hongwei Gao, Hongbo Zhu and Lu Li
2018doi: 10.3934/jimo.2018178 +[Abstract](225) +[HTML](116) +[PDF](421.47KB)
An executive model for network-level pavement maintenance and rehabilitation planning based on linear integer programming
Mahmoud Ameri and Armin Jarrahi
2018doi: 10.3934/jimo.2018179 +[Abstract](247) +[HTML](156) +[PDF](762.87KB)
Continuous-time mean-variance asset-liability management with stochastic interest rates and inflation risks
Huai-Nian Zhu, Cheng-Ke Zhang and Zhuo Jin
2018doi: 10.3934/jimo.2018180 +[Abstract](207) +[HTML](220) +[PDF](572.58KB)
Generalized ADMM with optimal indefinite proximal term for linearly constrained convex optimization
Fan Jiang, Zhongming Wu and Xingju Cai
2018doi: 10.3934/jimo.2018181 +[Abstract](303) +[HTML](121) +[PDF](525.56KB)
An iterated greedy algorithm with variable neighborhood descent for the planning of specialized diagnostic services in a segmented healthcare system
Rodolfo Mendoza-Gómez, Roger Z. Ríos-Mercado and Karla B. Valenzuela-Ocaña
2018doi: 10.3934/jimo.2018182 +[Abstract](194) +[HTML](155) +[PDF](672.24KB)
Financing strategies for a capital-constrained supplier under yield uncertainty
Hongjun Peng and Tao Pang
2018doi: 10.3934/jimo.2018183 +[Abstract](232) +[HTML](119) +[PDF](769.35KB)
Upper bounds for Z$ _1 $-eigenvalues of generalized Hilbert tensors
Juan Meng and Yisheng Song
2018doi: 10.3934/jimo.2018184 +[Abstract](212) +[HTML](105) +[PDF](311.86KB)
Extension of generalized solidarity values to interval-valued cooperative games
Deng-Feng Li, Yin-Fang Ye and Wei Fei
2018doi: 10.3934/jimo.2018185 +[Abstract](238) +[HTML](126) +[PDF](348.85KB)
A new class of positive semi-definite tensors
Yi Xu, Jinjie Liu and Liqun Qi
2018doi: 10.3934/jimo.2018186 +[Abstract](234) +[HTML](138) +[PDF](330.93KB)
Convergence analysis of a new iterative algorithm for solving split variational inclusion problems
Yan Tang
2019doi: 10.3934/jimo.2018187 +[Abstract](160) +[HTML](197) +[PDF](287.53KB)
An optimal maintenance strategy for multi-state systems based on a system linear integral equation and dynamic programming
Haibo Jin, Long Hai and Xiaoliang Tang
2018doi: 10.3934/jimo.2018188 +[Abstract](211) +[HTML](133) +[PDF](2265.99KB)
A symmetric Gauss-Seidel based method for a class of multi-period mean-variance portfolio selection problems
Ning Zhang
2018doi: 10.3934/jimo.2018189 +[Abstract](236) +[HTML](140) +[PDF](649.03KB)
A primal-dual interior-point method capable of rapidly detecting infeasibility for nonlinear programs
Yu-Hong Dai, Xin-Wei Liu and Jie Sun
2018doi: 10.3934/jimo.2018190 +[Abstract](240) +[HTML](126) +[PDF](595.71KB)
Empirical analysis and optimization of capital structure adjustment
Jinying Ma and Honglei Xu
2019doi: 10.3934/jimo.2018191 +[Abstract](197) +[HTML](146) +[PDF](238.15KB)
The (functional) law of the iterated logarithm of the sojourn time for a multiclass queue
Yongjiang Guo and Yuantao Song
2018doi: 10.3934/jimo.2018192 +[Abstract](190) +[HTML](123) +[PDF](759.85KB)
Priority queueing analysis of transaction-confirmation time for Bitcoin
Yoshiaki Kawase and Shoji Kasahara
2018doi: 10.3934/jimo.2018193 +[Abstract](269) +[HTML](149) +[PDF](440.0KB)
Utility maximization for bandwidth allocation in peer-to-peer file-sharing networks
Shiyong Li, Wei Sun and Quan-Lin Li
2018doi: 10.3934/jimo.2018194 +[Abstract](290) +[HTML](175) +[PDF](425.19KB)
Performance analysis and optimization for cognitive radio networks with a finite primary user buffer and a probability returning scheme
Yuan Zhao and Wuyi Yue
2018doi: 10.3934/jimo.2018195 +[Abstract](223) +[HTML](127) +[PDF](419.73KB)
Performance evaluation and analysis of a discrete queue system with multiple working vacations and non-preemptive priority
Zhanyou Ma, Wenbo Wang and Linmin Hu
2018doi: 10.3934/jimo.2018196 +[Abstract](207) +[HTML](117) +[PDF](675.39KB)
An imperfect sensing-based channel reservation strategy in CRNs and its performance evaluation
Jianping Liu and Shunfu Jin
2018doi: 10.3934/jimo.2018197 +[Abstract](179) +[HTML](121) +[PDF](734.93KB)
A smoothing SAA algorithm for a portfolio choice model based on second-order stochastic dominance measures
Liu Yang, Xiaojiao Tong, Yao Xiong and Feifei Shen
2018doi: 10.3934/jimo.2018198 +[Abstract](243) +[HTML](204) +[PDF](394.76KB)
Optimal ordering policy for inventory mechanism with a stochastic short-term price discount
Yiju Wang, Wei Xing and Hengxia Gao
2018doi: 10.3934/jimo.2018199 +[Abstract](246) +[HTML](164) +[PDF](559.94KB)
An integrated bi-objective optimization model and improved genetic algorithm for vehicle routing problems with temporal and spatial constraints
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