In a vendor-managed inventory (VMI) system, a manufacturing vendor manages their retailer inventories. Studies on VMI-type supply chains mostly have not considered competition between retailers. There are few works on the price competition; however, to the best of the authors’ knowledge, none of the papers formulated a service competition strategy. The service level is one of the competitive factors among competing retailers. Sometimes retailers choose to compete cooperatively instead of competing independently with the manufacturer. The present work investigates service, price, and inventory decisions under retailers’ competition and cooperation. Considering the manufacturer and retailers as the leader and followers, respectively, a Stackelberg game model of the problem is developed. The present study proposes a solution algorithm to search the Stackelberg–Nash equilibrium in the retailer cooperation and retailer independence models. The algorithm is numerically demonstrated to explore the impacts of decision parameters. To validate the model, a number of parameters are subjected to sensitivity analyses. It was found that a higher self-service (cross-service) level parameter would lead to higher (lower) profits of the retailer and manufacturer and the total profit in the two models. Retailer cooperation enhances retailer performance; however, manufacturer and system profits decline. Furthermore, when retailers cooperate, they are motivated to offer lower service levels.
@article{RO_2022__56_2_1051_0,
author = {Karimi, Marzieh and Khademi-Zare, Hasan and Zare-Mehrjerdi, Yahia and Bagher Fakhrzad, Mohammad},
title = {Optimizing service level, price, and inventory decisions for a supply chain with retailers{\textquoteright} competition and cooperation under {VMI} strategy},
journal = {RAIRO. Operations Research},
pages = {1051--1078},
year = {2022},
publisher = {EDP-Sciences},
volume = {56},
number = {2},
doi = {10.1051/ro/2022039},
mrnumber = {4407580},
zbl = {1487.90026},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2022039/}
}
TY - JOUR AU - Karimi, Marzieh AU - Khademi-Zare, Hasan AU - Zare-Mehrjerdi, Yahia AU - Bagher Fakhrzad, Mohammad TI - Optimizing service level, price, and inventory decisions for a supply chain with retailers’ competition and cooperation under VMI strategy JO - RAIRO. Operations Research PY - 2022 SP - 1051 EP - 1078 VL - 56 IS - 2 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2022039/ DO - 10.1051/ro/2022039 LA - en ID - RO_2022__56_2_1051_0 ER -
%0 Journal Article %A Karimi, Marzieh %A Khademi-Zare, Hasan %A Zare-Mehrjerdi, Yahia %A Bagher Fakhrzad, Mohammad %T Optimizing service level, price, and inventory decisions for a supply chain with retailers’ competition and cooperation under VMI strategy %J RAIRO. Operations Research %D 2022 %P 1051-1078 %V 56 %N 2 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2022039/ %R 10.1051/ro/2022039 %G en %F RO_2022__56_2_1051_0
Karimi, Marzieh; Khademi-Zare, Hasan; Zare-Mehrjerdi, Yahia; Bagher Fakhrzad, Mohammad. Optimizing service level, price, and inventory decisions for a supply chain with retailers’ competition and cooperation under VMI strategy. RAIRO. Operations Research, Tome 56 (2022) no. 2, pp. 1051-1078. doi: 10.1051/ro/2022039
[1] and , Supply chain competition with multiple manufacturers and retailers. Oper. Res. 59 (2011) 156–172. | MR | Zbl | DOI
[2] , , , and , Examining price and service competition among retailers in a supply chain under potential demand disruption. J. Retail. Consum. Serv. 40 (2018) 40–47. | DOI
[3] and , Vendor managed inventory with a capacitated manufacturer and multiple retailers: retailer versus manufacturer leadership. Int. J. Prod. Econ. 128 (2010) 292–302. | DOI
[4] and , Price competition with integrated and decentralized supply chains. Eur. J. Oper. Res. 200 (2010) 227–234. | Zbl | DOI
[5] , , and , Interval type-2 fuzzy vendor managed inventory system and its solution with particle swarm optimization. Int. J. Fuzzy Syst. 23 (2021) 2080–2105. | DOI
[6] , and , Volume discount pricing strategy in the VMI supply chain with price sensitive demand. J. Oper. Res. Soc. 64 (2013) 833–847. | DOI
[7] , and , Competitive advantage with vendor managed inventory. J. Promot. Manag. 26 (2020) 836–854. | DOI
[8] and , Pricing and replenishment strategies in a distribution system with competing retailers. Oper. Res. 51 (2003) 409–426. | Zbl | DOI
[9] and , A general equilibrium model for industries with price and service competition. Oper. Res. 52 (2004) 868–886. | MR | Zbl | DOI
[10] and , Decentralized supply chains with competing retailers under demand uncertainty. Manag. Sci. 51 (2005) 18–29. | Zbl | DOI
[11] and , Coordination mechanisms for supply chains under price and service competition. Manuf. Serv. Oper. Manag. 9 (2007) 242–262. | DOI
[12] , Stock wars: inventory competition in a two-echelon supply chain with multiple retailers. Oper. Res. 49 (2001) 658–674. | Zbl | DOI
[13] and , Competing with customer returns policies. Int. J. Prod. Res. 54 (2016) 2093–2107. | DOI
[14] and , Pricing and replenishment policies in a supply chain with competing retailers under different retail behaviors. Comput. Ind. Eng. 103 (2017) 145–157. | DOI
[15] , and , Pricing policies in a dual-channel supply chain with retail services. Int. J. Prod. Econ. 139 (2012) 312–320. | DOI
[16] and , Vendor managed inventory model for single-vendor multi-retailer supply chains. Eur. J. Oper. Res. 204 (2010) 473–484. | Zbl | DOI
[17] and , Competition and coordination in a two-channel supply chain. Prod. Oper. Manag. 24 (2015) 1358–1370. | DOI
[18] , Smart supply chains with vendor managed inventory, coordination, and environmental performance. Eur. J. Oper. Res. 292 (2021) 515–531. | MR | Zbl | DOI
[19] , and , Vendor management inventory with consignment contracts and the benefits of cooperative advertising. Eur. J. Oper. Res. 272 (2019) 465–480. | MR | Zbl | DOI
[20] , , and , Partially smoothing and gradient-based algorithm for optimizing the VMI system with competitive retailers under random demands. Math. Probl. Eng. 2020 (2020) 3687471. | MR | Zbl | DOI
[21] and , Service competition in a supply chain with two retailers under service level sensitive retail price and demand. Int. J. Manag. Sci. Eng. Manag. 9 (2014) 133–146.
[22] and , Coordinating a two-echelon supply chain under production disruption when retailers compete with price and service level. Oper. Res. 16 (2016) 71–88.
[23] , and , Quality and pricing decisions in a two-echelon supply chain under multi-manufacturer competition. To appear in: Int. J. Manag. Sci. Eng. Manag. 78 (2015) 1927–1941.
[24] and , The effect of forward integration on a single-vendor–multi-retailer supply chain under retailer competition. Int. J. Prod. Econ. 164 (2015) 179–192. | DOI
[25] , , and , Robust bi-level optimization for green opportunistic supply chain network design problem against uncertainty and environmental risk. Comput. Ind. Eng. 107 (2017) 301–312. | DOI
[26] , The optimal replenishment policy for time-varying stochastic demand under vendor managed inventory. Eur. J. Oper. Res. 242 (2015) 402–423. | MR | Zbl | DOI
[27] , and , Pricing and inventory decisions in a vendor managed inventory system with revenue sharing contract. Uncertain Supply Chain Manag. 6 (2018) 299–320. | DOI
[28] , and , Operational and environmental decisions for a two-stage supply chain under vendor managed consignment inventory partnership. Int. J. Prod. Res. 57 (2019) 3642–3662. | DOI
[29] , and , Vendor managed inventory with consignment stock for supply chain with stock-and price-dependent demand. Int. J. Prod. Res. 55 (2017) 5225–5242. | DOI
[30] , , and , Vendor managed inventory for environments with stochastic product usage. Eur. J. Oper. Res. 202 (2010) 686–695. | Zbl | DOI
[31] , , and , Multiple-vendor, multiple-retailer based vendor-managed inventory. Ann. Oper. Res. 238 (2016) 277–297. | MR | Zbl | DOI
[32] , and , Equilibrium analysis of pricing competition and cooperation in supply chain with one common manufacturer and duopoly retailers. Int. J. Prod. Econ. 178 (2016) 12–21. | DOI
[33] , and , Optimizing a vendor managed inventory (VMI) supply chain for perishable products by considering discount: two calibrated meta-heuristic algorithms. Comput. Ind. Eng. 103 (2017) 227–241. | DOI
[34] , , and , Metaheuristics for a bi-objective green vendor managed inventory problem in a two-echelon supply chain network. To appear in: Sci. Iran. (2020) DOI: . | DOI
[35] and , Supplier wholesale pricing for a retail chain: implications of centralized vs. decentralized retailing and procurement under quantity competition. Omega 65 (2016) 98–110. | DOI
[36] and , Vendor-managed inventory in a global environment with exchange rate uncertainty. Int. J. Prod. Econ. 130 (2011) 169–174. | DOI
[37] , and , Bi-level programming approach to optimal strategy for vendor-managed inventory problems under random demand. ANZIAM J. 59 (2017) 247–270. | MR | Zbl | DOI
[38] , , and , A simulation of vendor managed inventory dynamics using fuzzy arithmetic operations with genetic algorithms. Expert Syst. Appl. 37 (2010) 2571–2579. | DOI
[39] , and , Competition under manufacturer service and retail price. Econ. Model. 28 (2011) 1256–1264. | DOI
[40] , and , Vendor managed inventory in the joint replenishment problem of a multi-product single-supplier multiple-retailer supply chain: a teacher-learner-based optimization algorithm. J. Model. Manag. 13 (2018) 156–178. | DOI
[41] , and , Service and pricing strategies with competition and cooperation in a dual-channel supply chain with demand disruption. Comput. Ind. Eng. 138 (2019) 106130. | DOI
[42] and , One vendor and multiple retailers system in vendor managed inventory problem with stochastic demand. Int. J. Ind. Syst. Eng. 31 (2019) 113–136.
[43] and , Modelling, analysing and improving the revenue sharing contract in a one vendor-multi retailer supply chain based on the Stackelberg game theory. J. Manuf. Technol. Manag. 31 (2017) 402–423.
[44] , and , Modeling and numerical analysis of revenue sharing contract based on the Stackelberg game theory. Int. J. Supply Oper. Manag. 1 (2015) 439.
[45] and , Supply chain network design under oligopolistic price and service level competition with foresight. Comput. Ind. Eng. 72 (2014) 129–142. | DOI
[46] and , Two parameter tuned multi-objective evolutionary algorithms for a bi-objective vendor managed inventory model with trapezoidal fuzzy demand. Appl. Soft Comput. 30 (2015) 567–576. | DOI
[47] and , Vendor managed inventory contracts–coordinating the supply chain while looking from the vendor’s perspective. Eur. J. Oper. Res. 272 (2019) 249–260. | MR | Zbl | DOI
[48] , and , Incentives for transshipment in a supply chain with decentralized retailers. Manuf. Serv. Oper. Manag. 13 (2011) 361–372. | DOI
[49] , Competitive inventory models. RAIRO-Oper. Res. 21 (1987) 1–19. | MR | Zbl | Numdam | DOI
[50] and , Vendor managed inventory with fixed shipping cost allocation. Int. J. Logist. Res. Appl. 23 (2020) 1–23. | DOI
[51] , and , Joint optimization of price, replenishment frequency, replenishment cycle and production rate in vendor managed inventory system with deteriorating items. Int. J. Prod. Econ. 159 (2015) 285–295. | DOI
[52] , , and , A vendor managed inventory on consignment with penalty as a supply chain coordination arrangement. RAIRO-Oper. Res. 53 (2019) 1343–1355. | MR | Zbl | Numdam | DOI
[53] , and , Optimizing vendor-managed inventory systems with limited storage capacity and partial backordering under stochastic demand. RAIRO-Oper. Res. 54 (2020) 179–209. | MR | Zbl | Numdam | DOI
[54] and , Channel dynamics under price and service competition. Manuf. Serv. Oper. Manag. 2 (2000) 372–391. | DOI
[55] and , Channel conflict and coordination in the e-commerce age. Prod. Oper. Manag. 13 (2004) 93–110. | DOI
[56] and , Vendor managed inventory: a survey of the Taiwanese grocery industry. J. Purch. Supply Manag. 9 (2003) 11–18. | DOI
[57] , , , and , Retailer vs. vendor managed inventory with considering stochastic learning effect. J. Oper. Res. Soc. 71 (2020) 628–646. | DOI
[58] , and , Improving sustainability in a two-level pharmaceutical supply chain through vendor-managed inventory system. Oper. Res. Health Care. 21 (2019) 44–55. | DOI
[59] , Joint pricing-servicing decision and channel strategies in the supply chain. Cent. Eur. J. Oper. Res. 19 (2011) 99–137. | MR | Zbl | DOI
[60] , Price and service competition between new and remanufactured products in a two-echelon supply chain. Int. J. Prod. Econ. 140 (2012) 496–507. | DOI
[61] and , Strategic interactions between channel structure and demand enhancing services. Eur. J. Oper. Res. 181 (2007) 252–265. | Zbl | DOI
[62] and , Price and service competition of supply chains with risk-averse retailers under demand uncertainty. Int. J. Prod. Econ. 114 (2008) 187–200. | DOI
[63] and , Risk sharing and information revelation mechanism of a one-manufacturer and one-retailer supply chain facing an integrated competitor. Eur. J. Oper. Res. 196 (2009) 1076–1085. | MR | Zbl | DOI
[64] and , Inventory sharing and coordination among independent retailers. Eur. J. Oper. Res. 243 (2015) 576–587. | MR | Zbl | DOI
[65] and , Two-echelon supply chain models: considering duopolistic retailers’ different competitive behaviors. Int. J. Prod. Econ. 103 (2006) 104–116. | DOI
[66] , and , Pricing, service level and lot size decisions of a supply chain with risk-averse retailers: implications to practitioners. Prod. Plan. Control. 20 (2009) 320–331. | DOI
[67] , and , Supply chain integration in vendor-managed inventory. Decis. Support Syst. 43 (2007) 663–674. | DOI
[68] , and , Vertical cost information sharing in a supply chain with value-adding retailers. Omega 36 (2008) 838–851. | DOI
[69] and , Nash game model for optimizing market strategies, configuration of platform products in a vendor managed inventory (VMI) supply chain for a product family. Eur. J. Oper. Res. 206 (2010) 361–373. | MR | Zbl | DOI
[70] , and , A Stackelberg game and its improvement in a VMI system with a manufacturing vendor. Eur. J. Oper. Res. 192 (2009) 929–948. | MR | Zbl | DOI
[71] , and , Stackelberg game-theoretic model for optimizing advertising, pricing and inventory policies in vendor managed inventory (VMI) production supply chains. Comput. Ind. Eng. 57 (2009) 368–382. | DOI
[72] , , and , An integrated pricing and deteriorating model and a hybrid algorithm for a VMI (vendor-managed-inventory) supply chain. IEEE Trans. Autom. Sci. Eng. 8 (2011) 673–682. | DOI
[73] , , , and , Optimal selection of retailers for a manufacturing vendor in a vendor managed inventory system. Eur. J. Oper. Res. 225 (2013) 273–284. | MR | Zbl | DOI
[74] , and , Leader–follower game in vendor-managed inventory system with limited production capacity considering wholesale and retail prices. Int. J. Logist. Res. Appl. 9 (2006) 335–350. | DOI
[75] and , The Stackelberg game model for vendor-managed inventory systems: a wholesale price versus a two-part tariff contract. Int. J. Supply Oper. 7 (2020) 148–163.
[76] , and , Transshipment and coordination in a two-echelon supply chain. RAIRO-Oper. Res. 51 (2017) 729–747. | MR | Zbl | Numdam | DOI
[77] , , and , Simultaneous inventory competition and transshipment between retailers. Int. J. Prod. Econ. 230 (2020) 107781. | DOI
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