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:
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[2]

M. Becker-PethE. 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

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J. CaiX. HuY. HanH. 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. CaiX. HuP. 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. CaiM. ZhongJ. 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. ChaoS. 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

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J. ChenL. LiangD. 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

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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

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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

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Y. DaiS. 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

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A. M. DavisE. 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

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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. GurnaniM. 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. HarigaM. 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. HeC. 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

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X. HeA. KrishnamoorthyA. 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. LeeR. 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. LiuS. SongY. 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. LiuQ. GouL. 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. MaH. 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. SarmahD. 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. VermaA. 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. WallerM. 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. WangF. LiL. LiangZ. 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. XiaoY. 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. ZhaoS. WangT. C. E. ChengX. 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-SchusterY. 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-PethE. 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. CaiX. HuY. HanH. 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. CaiX. HuP. 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. CaiM. ZhongJ. 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. ChaoS. 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. ChenL. LiangD. 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. ChenG. 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. DaiS. 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. DavisE. 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. DengJ. 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. DongM. 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. FengL. 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. GurnaniM. 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. HarigaM. 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. HeC. 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. HeA. KrishnamoorthyA. 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. LeeR. 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. LiuS. SongY. 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. LiuQ. GouL. 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. MaH. 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. SarmahD. 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. VermaA. 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. WallerM. 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. WangF. LiL. LiangZ. 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. XiaoY. 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. ZhaoS. WangT. C. E. ChengX. 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

Figure 1.  Effect of the loss aversion coefficient on the optimal production quantity
Figure 2.  Effects of the loss aversion coefficient on the expected profits of both parties
Figure 3.  Expected profits with respect to option price under coordination ($\lambda = 2$)
Figure 4.  Expected profits with respect to option price under coordination ($\lambda = 3$)
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