# American Institute of Mathematical Sciences

October  2019, 15(4): 1753-1772. doi: 10.3934/jimo.2018121

## Coordination of VMI supply chain with a loss-averse manufacturer under quality-dependency and marketing-dependency

 1 Institute of Transportation Development Strategy & Planning of Sichuan Province, Chengdu 610041, China 2 School of Transportation and Logistics, Southwest Jiaotong University, Chengdu 610036, China 3 School of Economics and Management, Jiang Su University of Science and Technology, Zhenjiang 212003, China

* Corresponding author: Juan He

Received  July 2017 Revised  March 2018 Published  August 2018

Fund Project: The paper is supported by the National Natural Science Foundation of China (Grant No.71273214) and the Philosophy and Social Science Research Grand of Sichuan Province (Grant No.SKA13-01).

This paper addresses a vendor-managed inventory (VMI) supply chain with a loss-averse manufacturer and a risk-neutral retailer. Market demand faced by the retailer is stochastic and dependent on product quality level and marketing effort level. We propose a combined contract composed of option and cost-sharing to investigate coordination and profit allocation issues of the supply chain. To model loss aversion of the manufacturer, we employ multiple mental accounts and apply the utility function to upside and downside potentials of manufacturer's production decision separately. We derive the optimal strategy for each member with a Stackelberg game in which the retailer acts as the leader. It is proved that both coordination of the supply chain and Pareto-improvement can be achieved synchronously by the combined contract. In the premise of coordination, the system-wide profit can be allocated arbitrarily only by option price. Through negotiation, the retailer and the manufacturer just need to confirm an appropriate option price to obtain that neither of them becomes worse off. We also find that the manufacturer's loss aversion is a significant element for contract design and profit allocation, and the manufacturer could benefit from its own loss aversion behavior under certain condition.

Citation: Fuyou Huang, Juan He, Jian Wang. Coordination of VMI supply chain with a loss-averse manufacturer under quality-dependency and marketing-dependency. Journal of Industrial & Management Optimization, 2019, 15 (4) : 1753-1772. doi: 10.3934/jimo.2018121
##### References:
 [1] D. Barnes-Schuster, Y. Bassok and R. Anupindi, Coordination and flexibility in supply contracts with options, Manufacturing & Service Operations Management, 4 (2002), 171-207.  doi: 10.1287/msom.4.3.171.7754.  Google Scholar [2] M. Becker-Peth, E. Katok and U. W. Thonemann, Designing buyback contracts for irrational but predictable newsvendors, Management Science, 59 (2013), 1800-1816.  doi: 10.1287/mnsc.1120.1662.  Google Scholar [3] G. P. Cachon, Supply chain coordination with contracts, Handbooks in Operations Research and Management Science, 11 (2003), 227-339.  doi: 10.1016/S0927-0507(03)11006-7.  Google Scholar [4] J. Cai, X. Hu, Y. Han, H. Cheng and W. Huang, Supply chain coordination with an option contract under vendor-managed inventory, International Transactions in Operational Research, 23 (2016), 1163-1183.  doi: 10.1111/itor.12172.  Google Scholar [5] J. Cai, X. Hu, P. R. Tadikamalla and J. Shang, Flexible contract design for VMI supply chain with service-sensitive demand: Revenue-sharing and supplier subsidy, European Journal of Operational Research, 261 (2017), 143-153.  doi: 10.1016/j.ejor.2017.01.043.  Google Scholar [6] J. Cai, M. Zhong, J. Shang and W. Huang, Coordinating VMI supply chain under yield uncertainty: Option contract, subsidy contract, and replenishment tactic, International Journal of Production Economics, 185 (2017), 196-210.  doi: 10.1016/j.ijpe.2016.12.032.  Google Scholar [7] G. H. Chao, S. M. R. Iravani and R. C. Savaskan, Quality improvement incentives and product recall cost sharing contracts, Management Science, 55 (2009), 1122-1138.  doi: 10.1287/mnsc.1090.1008.  Google Scholar [8] J. Chen, L. Liang, D. Q. Yao and S. Sun, Price and quality decisions in dual-channel supply chains, European Journal of Operational Research, 259 (2017), 935-948.  doi: 10.1016/j.ejor.2016.11.016.  Google Scholar [9] K. Chen and T. Xiao, Reordering policy and coordination of a supply chain with a loss-averse retailer, Journal of Industrial and Management Optimization, 9 (2013), 827-853.  doi: 10.3934/jimo.2013.9.827.  Google Scholar [10] X. Chen, G. Hao and L. Li, Channel coordination with a loss-averse retailer and option contracts, International Journal of Production Economics, 150 (2014), 52-57.  doi: 10.1016/j.ijpe.2013.12.004.  Google Scholar [11] X. Chen and Z. Shen, An analysis on supply chain with options contracts and service requirement, IIE Transactions, 44 (2012), 805-819.  doi: 10.1080/0740817X.2011.649383.  Google Scholar [12] J. Dai and W. Meng, A risk-averse newsvendor model under marketing-dependency and price-dependency, International Journal of Production Economics, 160 (2015), 220-229.  doi: 10.1016/j.ijpe.2014.11.006.  Google Scholar [13] Y. Dai, S. X. Zhou and Y. Xu, Competitive and collaborative quality and warranty management in supply chains, Production and Operations management, 21 (2012), 129-144.  doi: 10.1111/j.1937-5956.2011.01217.x.  Google Scholar [14] M. A. Darwish and O. M. Odah, Vendor managed inventory model for single-vendor multi-retailer supply chains, European Journal of Operational Research, 204 (2010), 473-484.  doi: 10.1016/j.ejor.2009.11.023.  Google Scholar [15] A. M. Davis, E. Katok and N. Santamaría, Push, pull, or both? A behavioral study of how the allocation of inventory risk affects channel efficiency, Management Science, 60 (2014), 2666-2683.  doi: 10.1287/mnsc.2014.1940.  Google Scholar [16] X. Deng, J. Xie and H. Xiong, Manufacturer-retailer contracting with asymmetric information on retailer's degree of loss aversion, International Journal of Production Economics, 142 (2013), 372-380.  doi: 10.1016/j.ijpe.2012.12.013.  Google Scholar [17] Y. Dong, M. Dresner and Y. Yao, Beyond information sharing: An empirical analysis of vendor-managed inventory, Production and Operations Management, 23 (2014), 817-828.  doi: 10.1111/poms.12085.  Google Scholar [18] T. Feng, L. R. Keller and X. Zheng, Decision making in the newsvendor problem: A cross-national laboratory study, Omega, 39 (2011), 41-50.  doi: 10.1016/j.omega.2010.02.003.  Google Scholar [19] R. Guan and X. Zhao, On contracts for VMI program with continuous review (r, Q) policy, European Journal of Operational Research, 207 (2010), 656-667.  doi: 10.1016/j.ejor.2010.04.037.  Google Scholar [20] H. Gurnani and M. Erkoc, Supply contracts in manufacturer-retailer interactions with manufacturer-quality and retailer effort-induced demand, Naval Research Logistics, 55 (2008), 200-217.  doi: 10.1002/nav.20277.  Google Scholar [21] H. Gurnani, M. Erkoc and Y. Luo, Impact of product pricing and timing of investment decisions on supply chain co-opetition, European Journal of Operational Research, 180 (2007), 228-248.  doi: 10.1016/j.ejor.2006.02.047.  Google Scholar [22] M. Hariga, M. Gumus and A. Daghfous, Storage constrained vendor managed inventory models with unequal shipment frequencies, Omega, 48 (2014), 94-106.  doi: 10.1016/j.omega.2013.11.003.  Google Scholar [23] J. He, C. Ma and K. Pan, Capacity investment in supply chain with risk averse supplier under risk diversification contract, Transportation Research Part E: Logistics and Transportation Review, 106 (2017), 255-275.  doi: 10.1016/j.tre.2017.08.005.  Google Scholar [24] X. He, A. Krishnamoorthy, A. Prasad and S. P. Sethi, Retail competition and cooperative advertising, Operations Research Letters, 39 (2011), 11-16.  doi: 10.1016/j.orl.2010.10.006.  Google Scholar [25] Y. He and X. Zhao, Contracts and coordination: Supply chains with uncertain demand and supply, Naval Research Logistics, 63 (2016), 305-319.  doi: 10.1002/nav.21695.  Google Scholar [26] T. H. Ho and J. Zhang, Designing pricing contracts for boundedly rational customers: does the framing of the fixed fee matter?, Management Science, 54 (2008), 686-700.   Google Scholar [27] D. Kahneman and A. Tversky, Prospect theory: An analysis of decision under risk, Econometrica, 47 (1979), 263-291.   Google Scholar [28] R. Lal, Improving channel coordination through franchising, Marketing Science, 9 (1990), 299-318.  doi: 10.1287/mksc.9.4.299.  Google Scholar [29] J. Y. Lee, R. K. Cho and S. K. Paik, Supply chain coordination in vendor-managed inventory systems with stockout-cost sharing under limited storage capacity, European Journal of Operational Research, 248 (2016), 95-106.  doi: 10.1016/j.ejor.2015.06.080.  Google Scholar [30] W. Liu, S. Song, Y. Qiao and H. Zhao, The loss-averse newsvendor problem with random supply capacity, Journal of Industrial and Management Optimization, 13 (2017), 1417-1429.  doi: 10.3934/jimo.2016080.  Google Scholar [31] X. Liu, Q. Gou, L. Alwan and L. Liang, Option contracts: A solution for overloading problems in the delivery service supply chain, Journal of the Operational Research Society, 67 (2016), 187-197.  doi: 10.1057/jors.2014.133.  Google Scholar [32] P. Ma, H. Wang and J. Shang, Supply chain channel strategies with quality and marketing effort-dependent demand, International Journal of Production Economics, 144 (2013), 572-581.  doi: 10.1016/j.ijpe.2013.04.020.  Google Scholar [33] S. P. Sarmah, D. Acharya and S. K. Goyal, Coordination of a single-manufacturer/multi-buyer supply chain with credit option, International Journal of Production Economics, 111 (2008), 676-685.  doi: 10.1016/j.ijpe.2007.04.003.  Google Scholar [34] M. E. Schweitzer and G. P. Cachon, Decision bias in the newsvendor problem with a known demand distribution: experimental evidence, Management Science, 46 (2000), 404-420.  doi: 10.1287/mnsc.46.3.404.12070.  Google Scholar [35] Y. C. Tsao and G. J. Sheen, Effects of promotion cost sharing policy with the sales learning curve on supply chain coordination, Computers & Operations Research, 39 (2012), 1872-1878.  doi: 10.1016/j.cor.2011.07.009.  Google Scholar [36] N. K. Verma, A. Chakraborty and A. K. Chatterjee, Joint replenishment of multi retailer with variable replenishment cycle under VMI, European Journal of Operational Research, 233 (2014), 787-789.  doi: 10.1016/j.ejor.2013.10.001.  Google Scholar [37] M. Waller, M. E. Johnson and T. Davis, Vendor-managed inventory in the retail supply chain, Journal of Business Logistics, 20 (1999), 183-204.   Google Scholar [38] C. X. Wang and S. Webster, Channel coordination for a supply chain with a risk-neutral manufacturer and a loss-averse retailer, Decision Sciences, 38 (2007), 361-389.  doi: 10.1111/j.1540-5915.2007.00163.x.  Google Scholar [39] C. X. Wang and S. Webster, The loss-averse newsvendor problem, Omega, 37 (2009), 93-105.  doi: 10.1016/j.omega.2006.08.003.  Google Scholar [40] X. Wang and L. Liu, Coordination in a retailer-led supply chain through option contract, International Journal of Production Economics, 110 (2007), 115-127.  doi: 10.1016/j.ijpe.2007.02.022.  Google Scholar [41] X. Wang, F. Li, L. Liang, Z. Huang and A. Ashley, Pre-purchasing with option contract and coordination in a relief supply chain, International Journal of Production Economics, 167 (2015), 170-176.  doi: 10.1016/j.ijpe.2015.05.031.  Google Scholar [42] D. J. Wu and P. R. Kleindorfer, Competitive options, supply contracting, and electronic markets, Management Science, 51 (2005), 452-466.  doi: 10.1287/mnsc.1040.0341.  Google Scholar [43] T. Xiao, Y. Xia and G. P. Zhang, Strategic outsourcing decisions for manufacturers competing on product quality, IIE Transactions, 46 (2014), 313-329.  doi: 10.1080/0740817X.2012.761368.  Google Scholar [44] Y. Yu and G. Q. Huang, Nash game model for optimizing market strategies, configuration of platform products in a vendor managed inventory (VMI) supply chain for a product family, European Journal of Operational Research, 206 (2010), 361-373.  doi: 10.1016/j.ejor.2010.02.039.  Google Scholar [45] J. Zhang, Coordination of supply chain with buyer's promotion, Journal of Industrial and Management Optimization, 3 (2007), 715-726.  doi: 10.3934/jimo.2007.3.715.  Google Scholar [46] Y. Zhao, S. Wang, T. C. E. Cheng, X. Yang and Z. Huang, Coordination of supply chains by option contracts: A cooperative game theory approach, European Journal of Operational Research, 207 (2010), 668-675.  doi: 10.1016/j.ejor.2010.05.017.  Google Scholar

show all references

##### References:
 [1] D. Barnes-Schuster, Y. Bassok and R. Anupindi, Coordination and flexibility in supply contracts with options, Manufacturing & Service Operations Management, 4 (2002), 171-207.  doi: 10.1287/msom.4.3.171.7754.  Google Scholar [2] M. Becker-Peth, E. Katok and U. W. Thonemann, Designing buyback contracts for irrational but predictable newsvendors, Management Science, 59 (2013), 1800-1816.  doi: 10.1287/mnsc.1120.1662.  Google Scholar [3] G. P. Cachon, Supply chain coordination with contracts, Handbooks in Operations Research and Management Science, 11 (2003), 227-339.  doi: 10.1016/S0927-0507(03)11006-7.  Google Scholar [4] J. Cai, X. Hu, Y. Han, H. Cheng and W. Huang, Supply chain coordination with an option contract under vendor-managed inventory, International Transactions in Operational Research, 23 (2016), 1163-1183.  doi: 10.1111/itor.12172.  Google Scholar [5] J. Cai, X. Hu, P. R. Tadikamalla and J. Shang, Flexible contract design for VMI supply chain with service-sensitive demand: Revenue-sharing and supplier subsidy, European Journal of Operational Research, 261 (2017), 143-153.  doi: 10.1016/j.ejor.2017.01.043.  Google Scholar [6] J. Cai, M. Zhong, J. Shang and W. Huang, Coordinating VMI supply chain under yield uncertainty: Option contract, subsidy contract, and replenishment tactic, International Journal of Production Economics, 185 (2017), 196-210.  doi: 10.1016/j.ijpe.2016.12.032.  Google Scholar [7] G. H. Chao, S. M. R. Iravani and R. C. Savaskan, Quality improvement incentives and product recall cost sharing contracts, Management Science, 55 (2009), 1122-1138.  doi: 10.1287/mnsc.1090.1008.  Google Scholar [8] J. Chen, L. Liang, D. Q. Yao and S. Sun, Price and quality decisions in dual-channel supply chains, European Journal of Operational Research, 259 (2017), 935-948.  doi: 10.1016/j.ejor.2016.11.016.  Google Scholar [9] K. Chen and T. Xiao, Reordering policy and coordination of a supply chain with a loss-averse retailer, Journal of Industrial and Management Optimization, 9 (2013), 827-853.  doi: 10.3934/jimo.2013.9.827.  Google Scholar [10] X. Chen, G. Hao and L. Li, Channel coordination with a loss-averse retailer and option contracts, International Journal of Production Economics, 150 (2014), 52-57.  doi: 10.1016/j.ijpe.2013.12.004.  Google Scholar [11] X. Chen and Z. Shen, An analysis on supply chain with options contracts and service requirement, IIE Transactions, 44 (2012), 805-819.  doi: 10.1080/0740817X.2011.649383.  Google Scholar [12] J. Dai and W. Meng, A risk-averse newsvendor model under marketing-dependency and price-dependency, International Journal of Production Economics, 160 (2015), 220-229.  doi: 10.1016/j.ijpe.2014.11.006.  Google Scholar [13] Y. Dai, S. X. Zhou and Y. Xu, Competitive and collaborative quality and warranty management in supply chains, Production and Operations management, 21 (2012), 129-144.  doi: 10.1111/j.1937-5956.2011.01217.x.  Google Scholar [14] M. A. Darwish and O. M. Odah, Vendor managed inventory model for single-vendor multi-retailer supply chains, European Journal of Operational Research, 204 (2010), 473-484.  doi: 10.1016/j.ejor.2009.11.023.  Google Scholar [15] A. M. Davis, E. Katok and N. Santamaría, Push, pull, or both? A behavioral study of how the allocation of inventory risk affects channel efficiency, Management Science, 60 (2014), 2666-2683.  doi: 10.1287/mnsc.2014.1940.  Google Scholar [16] X. Deng, J. Xie and H. Xiong, Manufacturer-retailer contracting with asymmetric information on retailer's degree of loss aversion, International Journal of Production Economics, 142 (2013), 372-380.  doi: 10.1016/j.ijpe.2012.12.013.  Google Scholar [17] Y. Dong, M. Dresner and Y. Yao, Beyond information sharing: An empirical analysis of vendor-managed inventory, Production and Operations Management, 23 (2014), 817-828.  doi: 10.1111/poms.12085.  Google Scholar [18] T. Feng, L. R. Keller and X. Zheng, Decision making in the newsvendor problem: A cross-national laboratory study, Omega, 39 (2011), 41-50.  doi: 10.1016/j.omega.2010.02.003.  Google Scholar [19] R. Guan and X. Zhao, On contracts for VMI program with continuous review (r, Q) policy, European Journal of Operational Research, 207 (2010), 656-667.  doi: 10.1016/j.ejor.2010.04.037.  Google Scholar [20] H. Gurnani and M. Erkoc, Supply contracts in manufacturer-retailer interactions with manufacturer-quality and retailer effort-induced demand, Naval Research Logistics, 55 (2008), 200-217.  doi: 10.1002/nav.20277.  Google Scholar [21] H. Gurnani, M. Erkoc and Y. Luo, Impact of product pricing and timing of investment decisions on supply chain co-opetition, European Journal of Operational Research, 180 (2007), 228-248.  doi: 10.1016/j.ejor.2006.02.047.  Google Scholar [22] M. Hariga, M. Gumus and A. Daghfous, Storage constrained vendor managed inventory models with unequal shipment frequencies, Omega, 48 (2014), 94-106.  doi: 10.1016/j.omega.2013.11.003.  Google Scholar [23] J. He, C. Ma and K. Pan, Capacity investment in supply chain with risk averse supplier under risk diversification contract, Transportation Research Part E: Logistics and Transportation Review, 106 (2017), 255-275.  doi: 10.1016/j.tre.2017.08.005.  Google Scholar [24] X. He, A. Krishnamoorthy, A. Prasad and S. P. Sethi, Retail competition and cooperative advertising, Operations Research Letters, 39 (2011), 11-16.  doi: 10.1016/j.orl.2010.10.006.  Google Scholar [25] Y. He and X. Zhao, Contracts and coordination: Supply chains with uncertain demand and supply, Naval Research Logistics, 63 (2016), 305-319.  doi: 10.1002/nav.21695.  Google Scholar [26] T. H. Ho and J. Zhang, Designing pricing contracts for boundedly rational customers: does the framing of the fixed fee matter?, Management Science, 54 (2008), 686-700.   Google Scholar [27] D. Kahneman and A. Tversky, Prospect theory: An analysis of decision under risk, Econometrica, 47 (1979), 263-291.   Google Scholar [28] R. Lal, Improving channel coordination through franchising, Marketing Science, 9 (1990), 299-318.  doi: 10.1287/mksc.9.4.299.  Google Scholar [29] J. Y. Lee, R. K. Cho and S. K. Paik, Supply chain coordination in vendor-managed inventory systems with stockout-cost sharing under limited storage capacity, European Journal of Operational Research, 248 (2016), 95-106.  doi: 10.1016/j.ejor.2015.06.080.  Google Scholar [30] W. Liu, S. Song, Y. Qiao and H. Zhao, The loss-averse newsvendor problem with random supply capacity, Journal of Industrial and Management Optimization, 13 (2017), 1417-1429.  doi: 10.3934/jimo.2016080.  Google Scholar [31] X. Liu, Q. Gou, L. Alwan and L. Liang, Option contracts: A solution for overloading problems in the delivery service supply chain, Journal of the Operational Research Society, 67 (2016), 187-197.  doi: 10.1057/jors.2014.133.  Google Scholar [32] P. Ma, H. Wang and J. Shang, Supply chain channel strategies with quality and marketing effort-dependent demand, International Journal of Production Economics, 144 (2013), 572-581.  doi: 10.1016/j.ijpe.2013.04.020.  Google Scholar [33] S. P. Sarmah, D. Acharya and S. K. Goyal, Coordination of a single-manufacturer/multi-buyer supply chain with credit option, International Journal of Production Economics, 111 (2008), 676-685.  doi: 10.1016/j.ijpe.2007.04.003.  Google Scholar [34] M. E. Schweitzer and G. P. Cachon, Decision bias in the newsvendor problem with a known demand distribution: experimental evidence, Management Science, 46 (2000), 404-420.  doi: 10.1287/mnsc.46.3.404.12070.  Google Scholar [35] Y. C. Tsao and G. J. Sheen, Effects of promotion cost sharing policy with the sales learning curve on supply chain coordination, Computers & Operations Research, 39 (2012), 1872-1878.  doi: 10.1016/j.cor.2011.07.009.  Google Scholar [36] N. K. Verma, A. Chakraborty and A. K. Chatterjee, Joint replenishment of multi retailer with variable replenishment cycle under VMI, European Journal of Operational Research, 233 (2014), 787-789.  doi: 10.1016/j.ejor.2013.10.001.  Google Scholar [37] M. Waller, M. E. Johnson and T. Davis, Vendor-managed inventory in the retail supply chain, Journal of Business Logistics, 20 (1999), 183-204.   Google Scholar [38] C. X. Wang and S. Webster, Channel coordination for a supply chain with a risk-neutral manufacturer and a loss-averse retailer, Decision Sciences, 38 (2007), 361-389.  doi: 10.1111/j.1540-5915.2007.00163.x.  Google Scholar [39] C. X. Wang and S. Webster, The loss-averse newsvendor problem, Omega, 37 (2009), 93-105.  doi: 10.1016/j.omega.2006.08.003.  Google Scholar [40] X. Wang and L. Liu, Coordination in a retailer-led supply chain through option contract, International Journal of Production Economics, 110 (2007), 115-127.  doi: 10.1016/j.ijpe.2007.02.022.  Google Scholar [41] X. Wang, F. Li, L. Liang, Z. Huang and A. Ashley, Pre-purchasing with option contract and coordination in a relief supply chain, International Journal of Production Economics, 167 (2015), 170-176.  doi: 10.1016/j.ijpe.2015.05.031.  Google Scholar [42] D. J. Wu and P. R. Kleindorfer, Competitive options, supply contracting, and electronic markets, Management Science, 51 (2005), 452-466.  doi: 10.1287/mnsc.1040.0341.  Google Scholar [43] T. Xiao, Y. Xia and G. P. Zhang, Strategic outsourcing decisions for manufacturers competing on product quality, IIE Transactions, 46 (2014), 313-329.  doi: 10.1080/0740817X.2012.761368.  Google Scholar [44] Y. Yu and G. Q. Huang, Nash game model for optimizing market strategies, configuration of platform products in a vendor managed inventory (VMI) supply chain for a product family, European Journal of Operational Research, 206 (2010), 361-373.  doi: 10.1016/j.ejor.2010.02.039.  Google Scholar [45] J. Zhang, Coordination of supply chain with buyer's promotion, Journal of Industrial and Management Optimization, 3 (2007), 715-726.  doi: 10.3934/jimo.2007.3.715.  Google Scholar [46] Y. Zhao, S. Wang, T. C. E. Cheng, X. Yang and Z. Huang, Coordination of supply chains by option contracts: A cooperative game theory approach, European Journal of Operational Research, 207 (2010), 668-675.  doi: 10.1016/j.ejor.2010.05.017.  Google Scholar
Effect of the loss aversion coefficient on the optimal production quantity
Effects of the loss aversion coefficient on the expected profits of both parties
Expected profits with respect to option price under coordination ($\lambda = 2$)
Expected profits with respect to option price under coordination ($\lambda = 3$)
 [1] Wenying Xie, Bin Chen, Fuyou Huang, Juan He. Coordination of a supply chain with a loss-averse retailer under supply uncertainty and marketing effort. Journal of Industrial & Management Optimization, 2020  doi: 10.3934/jimo.2020125 [2] Bin Chen, Wenying Xie, Fuyou Huang, Juan He. Quality competition and coordination in a VMI supply chain with two risk-averse manufacturers. Journal of Industrial & Management Optimization, 2020  doi: 10.3934/jimo.2020100 [3] Na Song, Ximin Huang, Yue Xie, Wai-Ki Ching, Tak-Kuen Siu. Impact of reorder option in supply chain coordination. Journal of Industrial & Management Optimization, 2017, 13 (1) : 449-475. doi: 10.3934/jimo.2016026 [4] Kebing Chen, Tiaojun Xiao. Reordering policy and coordination of a supply chain with a loss-averse retailer. Journal of Industrial & Management Optimization, 2013, 9 (4) : 827-853. doi: 10.3934/jimo.2013.9.827 [5] Katherinne Salas Navarro, Jaime Acevedo Chedid, Whady F. Florez, Holman Ospina Mateus, Leopoldo Eduardo Cárdenas-Barrón, Shib Sankar Sana. A collaborative EPQ inventory model for a three-echelon supply chain with multiple products considering the effect of marketing effort on demand. Journal of Industrial & Management Optimization, 2020, 16 (4) : 1613-1633. doi: 10.3934/jimo.2019020 [6] Weihua Liu, Xinran Shen, Di Wang, Jingkun Wang. Order allocation model in logistics service supply chain with demand updating and inequity aversion: A perspective of two option contracts comparison. Journal of Industrial & Management Optimization, 2020  doi: 10.3934/jimo.2020118 [7] Wucheng Zi, Jiayu Zhou, Honglei Xu, Guodong Li, Gang Lin. Preserving relational contract stability of fresh agricultural product supply chains. Journal of Industrial & Management Optimization, 2020  doi: 10.3934/jimo.2020079 [8] Juliang Zhang. Coordination of supply chain with buyer's promotion. Journal of Industrial & Management Optimization, 2007, 3 (4) : 715-726. doi: 10.3934/jimo.2007.3.715 [9] Jun Pei, Panos M. Pardalos, Xinbao Liu, Wenjuan Fan, Shanlin Yang, Ling Wang. Coordination of production and transportation in supply chain scheduling. Journal of Industrial & Management Optimization, 2015, 11 (2) : 399-419. doi: 10.3934/jimo.2015.11.399 [10] Gang Xie, Wuyi Yue, Shouyang Wang. Optimal selection of cleaner products in a green supply chain with risk aversion. Journal of Industrial & Management Optimization, 2015, 11 (2) : 515-528. doi: 10.3934/jimo.2015.11.515 [11] Chong Zhang, Yaxian Wang, Ying Liu, Haiyan Wang. Coordination contracts for a dual-channel supply chain under capital constraints. Journal of Industrial & Management Optimization, 2020  doi: 10.3934/jimo.2020031 [12] Wenyan Zhuo, Honglin Yang, Leopoldo Eduardo Cárdenas-Barrón, Hong Wan. Loss-averse supply chain decisions with a capital constrained retailer. Journal of Industrial & Management Optimization, 2019  doi: 10.3934/jimo.2019131 [13] Lianxia Zhao, Jianxin You, Shu-Cherng Fang. A dual-channel supply chain problem with resource-utilization penalty: Who can benefit from sales effort?. Journal of Industrial & Management Optimization, 2020  doi: 10.3934/jimo.2020097 [14] Qingguo Bai, Fanwen Meng. Impact of risk aversion on two-echelon supply chain systems with carbon emission reduction constraints. Journal of Industrial & Management Optimization, 2020, 16 (4) : 1943-1965. doi: 10.3934/jimo.2019037 [15] Biswajit Sarkar, Arunava Majumder, Mitali Sarkar, Bikash Koli Dey, Gargi Roy. Two-echelon supply chain model with manufacturing quality improvement and setup cost reduction. Journal of Industrial & Management Optimization, 2017, 13 (2) : 1085-1104. doi: 10.3934/jimo.2016063 [16] Ali Naimi Sadigh, S. Kamal Chaharsooghi, Majid Sheikhmohammady. A game theoretic approach to coordination of pricing, advertising, and inventory decisions in a competitive supply chain. Journal of Industrial & Management Optimization, 2016, 12 (1) : 337-355. doi: 10.3934/jimo.2016.12.337 [17] Huimin Liu, Hui Yu. Fairness and retailer-led supply chain coordination under two different degrees of trust. Journal of Industrial & Management Optimization, 2017, 13 (3) : 1347-1364. doi: 10.3934/jimo.2016076 [18] Nina Yan, Tingting Tong, Hongyan Dai. Capital-constrained supply chain with multiple decision attributes: Decision optimization and coordination analysis. Journal of Industrial & Management Optimization, 2019, 15 (4) : 1831-1856. doi: 10.3934/jimo.2018125 [19] Bin Dan, Huali Gao, Yang Zhang, Ru Liu, Songxuan Ma. Integrated order acceptance and scheduling decision making in product service supply chain with hard time windows constraints. Journal of Industrial & Management Optimization, 2018, 14 (1) : 165-182. doi: 10.3934/jimo.2017041 [20] Jun Wu, Shouyang Wang, Wuyi Yue. Supply contract model with service level constraint. Journal of Industrial & Management Optimization, 2005, 1 (3) : 275-287. doi: 10.3934/jimo.2005.1.275

2019 Impact Factor: 1.366

## Metrics

• PDF downloads (186)
• HTML views (1179)
• Cited by (2)

## Other articlesby authors

• on AIMS
• on Google Scholar

[Back to Top]