-
Previous Article
Exact performance analysis of a single-wavelength optical buffer with correlated inter-arrival times
- JIMO Home
- This Issue
-
Next Article
State-dependent M/M/c/c + r retrial queues with Bernoulli abandonment
Analysis of multiclass feedback queues and its application to a packet scheduling problem
| 1. | Graduate School of Systems and Information Engineering, University of Tsukuba, Tsukuba-city, Ibaraki 305-0006, Japan |
We first analyze the feedback queues with $J$ groups of customers and a single server. The server selects a group (station) in a priority order and admits its customers into the service facility according to one of the following rules: 1-limited, gated, or exhaustive. Since there are multiple classes of customers in each group, they are served in either the (local) priority order or the first-come-first-served order. We derive the mean sojourn times for all service stages of customers circulating the system.
Then we consider their application to a packet scheduling problem in communication networks where a mission-critical traffic is given some preferential treatment over other normal traffic. Packets belonging to normal traffic are allocated the resource capacity in proportion to their assigned weights in a round-robin manner, which we call the "discriminatory round robin (DRR)." We construct some composite scheduling algorithms and compare their performance.
| [1] |
Wouter Rogiest, Koen De Turck, Koenraad Laevens, Dieter Fiems, Sabine Wittevrongel, Herwig Bruneel. On the optimality of packet-oriented scheduling in photonic switches with delay lines. Numerical Algebra, Control & Optimization, 2011, 1 (4) : 727-747. doi: 10.3934/naco.2011.1.727 |
| [2] |
Balasubramanian Krishna Kumar, Ramachandran Navaneetha Krishnan, Rathinam Sankar, Ramasamy Rukmani. Analysis of dynamic service system between regular and retrial queues with impatient customers. Journal of Industrial & Management Optimization, 2022, 18 (1) : 267-295. doi: 10.3934/jimo.2020153 |
| [3] |
Byeongchan Lee, Jonghun Yoon, Yang Woo Shin, Ganguk Hwang. Tail asymptotics of fluid queues in a distributed server system fed by a heavy-tailed ON-OFF flow. Journal of Industrial & Management Optimization, 2016, 12 (2) : 637-652. doi: 10.3934/jimo.2016.12.637 |
| [4] |
Yoora Kim, Gang Uk Hwang, Hea Sook Park. Feedback limited opportunistic scheduling and admission control for ergodic rate guarantees over Nakagami-$m$ fading channels. Journal of Industrial & Management Optimization, 2009, 5 (3) : 553-567. doi: 10.3934/jimo.2009.5.553 |
| [5] |
Kaïs Ammari, Mohamed Jellouli, Michel Mehrenberger. Feedback stabilization of a coupled string-beam system. Networks & Heterogeneous Media, 2009, 4 (1) : 19-34. doi: 10.3934/nhm.2009.4.19 |
| [6] |
Lorena Bociu, Steven Derochers, Daniel Toundykov. Feedback stabilization of a linear hydro-elastic system. Discrete & Continuous Dynamical Systems - B, 2018, 23 (3) : 1107-1132. doi: 10.3934/dcdsb.2018144 |
| [7] |
Jing Zhang, Jiahui Qian, Han Zhang, Ling He, Bin Li, Jing Qin, Hongning Dai, Wei Tang, Weidong Tian. Maxillofacial surgical simulation system with haptic feedback. Journal of Industrial & Management Optimization, 2021, 17 (6) : 3645-3657. doi: 10.3934/jimo.2020137 |
| [8] |
Zhenhuan Yang, Yiming Ying, Qilong Min. Online optimization for residential PV-ESS energy system scheduling. Mathematical Foundations of Computing, 2019, 2 (1) : 55-71. doi: 10.3934/mfc.2019005 |
| [9] |
Vanessa Baumgärtner, Simone Göttlich, Stephan Knapp. Feedback stabilization for a coupled PDE-ODE production system. Mathematical Control & Related Fields, 2020, 10 (2) : 405-424. doi: 10.3934/mcrf.2020003 |
| [10] |
Omer Faruk Yilmaz, Mehmet Bulent Durmusoglu. A performance comparison and evaluation of metaheuristics for a batch scheduling problem in a multi-hybrid cell manufacturing system with skilled workforce assignment. Journal of Industrial & Management Optimization, 2018, 14 (3) : 1219-1249. doi: 10.3934/jimo.2018007 |
| [11] |
Louis Caccetta, Syarifah Z. Nordin. Mixed integer programming model for scheduling in unrelated parallel processor system with priority consideration. Numerical Algebra, Control & Optimization, 2014, 4 (2) : 115-132. doi: 10.3934/naco.2014.4.115 |
| [12] |
Dariush Mohamadi Zanjirani, Majid Esmaelian. An integrated approach based on Fuzzy Inference System for scheduling and process planning through multiple objectives. Journal of Industrial & Management Optimization, 2020, 16 (3) : 1235-1259. doi: 10.3934/jimo.2018202 |
| [13] |
Yongjiang Guo, Yuantao Song. The (functional) law of the iterated logarithm of the sojourn time for a multiclass queue. Journal of Industrial & Management Optimization, 2020, 16 (3) : 1049-1076. doi: 10.3934/jimo.2018192 |
| [14] |
Keiji Tatsumi, Masashi Akao, Ryo Kawachi, Tetsuzo Tanino. Performance evaluation of multiobjective multiclass support vector machines maximizing geometric margins. Numerical Algebra, Control & Optimization, 2011, 1 (1) : 151-169. doi: 10.3934/naco.2011.1.151 |
| [15] |
Raimund Bürger, Christophe Chalons, Rafael Ordoñez, Luis Miguel Villada. A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function. Networks & Heterogeneous Media, 2021, 16 (2) : 187-219. doi: 10.3934/nhm.2021004 |
| [16] |
Yunmei Lu, Mingyuan Yan, Meng Han, Qingliang Yang, Yanqing Zhang. Privacy preserving feature selection and Multiclass Classification for horizontally distributed data. Mathematical Foundations of Computing, 2018, 1 (4) : 331-348. doi: 10.3934/mfc.2018016 |
| [17] |
Rémi Carles, Christof Sparber. Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials. Discrete & Continuous Dynamical Systems - B, 2012, 17 (3) : 759-774. doi: 10.3934/dcdsb.2012.17.759 |
| [18] |
A. V. Fursikov. Stabilization for the 3D Navier-Stokes system by feedback boundary control. Discrete & Continuous Dynamical Systems, 2004, 10 (1&2) : 289-314. doi: 10.3934/dcds.2004.10.289 |
| [19] |
Ruofeng Rao, Shouming Zhong. Input-to-state stability and no-inputs stabilization of delayed feedback chaotic financial system involved in open and closed economy. Discrete & Continuous Dynamical Systems - S, 2021, 14 (4) : 1375-1393. doi: 10.3934/dcdss.2020280 |
| [20] |
Monica Lazzo, Paul G. Schmidt. Convergence versus periodicity in a single-loop positive-feedback system 2. Periodic solutions. Conference Publications, 2011, 2011 (Special) : 941-952. doi: 10.3934/proc.2011.2011.941 |
2020 Impact Factor: 1.801
Tools
Metrics
Other articles
by authors
[Back to Top]