This paper aims to develop a new bi-level game model for joint pricing and inventory decisions in a competitive supply chain consisting of a dominant manufacturer, who produces single perishable product from deteriorating raw materials, and two follower retailers who face nonlinear price-dependent demand and operate under Cournot assumptions. Three levels of warehousing including raw material warehouse, final product warehouse, and retail warehouses with exponential deterioration rates are considered to explore the joint impact of deterioration rate and price elasticity on the equilibrium inventory decisions. A Stackelberg–Nash–Cournot model is developed to seek the equilibrium prices, quantities, and replenishment cycles and is solved through an exact methodology. A numerical example is presented to validate the proposed model and comprehensive sensitivity analyses are carried out to measure the impact of the model’s key parameters including the deterioration rate in the producer’s and the retailers’ warehouses, the retail and competitor price elasticity, and the market scale on the equilibrium.
Accepté le :
Première publication :
Publié le :
DOI : 10.1051/ro/2021106
Keywords: Supply chain coordination, perishable products, inventory decisions, pricing, bi-level programming, Stackelberg–Nash–Cournot equilibrium
@article{RO_2021__55_4_2395_0,
author = {Rajabi, Naser and Mozafari, Marzieh and Naimi-Sadigh, Ali},
title = {Bi-level pricing and inventory strategies for perishable products in a competitive supply chain},
journal = {RAIRO. Operations Research},
pages = {2395--2412},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
number = {4},
doi = {10.1051/ro/2021106},
mrnumber = {4299599},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2021106/}
}
TY - JOUR AU - Rajabi, Naser AU - Mozafari, Marzieh AU - Naimi-Sadigh, Ali TI - Bi-level pricing and inventory strategies for perishable products in a competitive supply chain JO - RAIRO. Operations Research PY - 2021 SP - 2395 EP - 2412 VL - 55 IS - 4 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2021106/ DO - 10.1051/ro/2021106 LA - en ID - RO_2021__55_4_2395_0 ER -
%0 Journal Article %A Rajabi, Naser %A Mozafari, Marzieh %A Naimi-Sadigh, Ali %T Bi-level pricing and inventory strategies for perishable products in a competitive supply chain %J RAIRO. Operations Research %D 2021 %P 2395-2412 %V 55 %N 4 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2021106/ %R 10.1051/ro/2021106 %G en %F RO_2021__55_4_2395_0
Rajabi, Naser; Mozafari, Marzieh; Naimi-Sadigh, Ali. Bi-level pricing and inventory strategies for perishable products in a competitive supply chain. RAIRO. Operations Research, Tome 55 (2021) no. 4, pp. 2395-2412. doi: 10.1051/ro/2021106
[1] and , Competition in service industries. Oper. Res. 55 (2007) 37–55. | MR | Zbl | DOI
[2] and , Nonlinear Programming. Theory and Algorithms. John Wiley & Sons (1979). | MR
[3] and , A general equilibrium model for industries with price and service competition. Oper. Res. 52 (2004) 868–886. | MR | Zbl | DOI
[4] and , Multi-item EOQ inventory model in a two-layer supply chain while demand varies with promotional effort. Appl. Math. Model. 39 (2015) 6725–6737. | MR | DOI
[5] and , Pricing and replenishment policies in a supply chain with competing retailers under different retail behaviors. Comput. Ind. Eng. 103 (2017) 145–157. | DOI
[6] , , and , Optimal decisions in a retailer Stackelberg supply chain. Int. J. Prod. Econ. 187 (2017) 260–270. | DOI
[7] , Inventory and marketing policy in a supply chain of a perishable product. Int. J. Prod. Econ. 219 (2020) 259–274. | DOI
[8] and , An EOQ model for items with Weibull distribution deterioration. AIIE Trans. 5 (1973) 323–326. | DOI
[9] , Inventory replenishment policy for a linear trend in demand – an analytical solution. J. Oper. Res. Soc. 28 (1977) 663–670. | Zbl | DOI
[10] and , Issuing and pricing policy of semi-perishables. In: Proceedings of the 4th International Conference on Operational Research. Wiley-Interscience (1966) 205–215.
[11] and , A model for exponentially decaying inventory system. J. Ind. Eng. 14 (1963) 238–243.
[12] and , A game theoretic approach to coordinate pricing, ordering and co-op advertising in supply chains with stochastic demand. Sci. Iran. 27 (2020) 3289–3304.
[13] , Re-examining supply chain fit: an assessment of moderating factors. J. Bus. Logistics 38 (2017) 253–265. | DOI
[14] , , and , Wholesale-retail pricing strategies under market risk and uncertain demand in supply chain using evolutionary game theory. Kybernetes 47 (2018) 1178–1201. | DOI
[15] and , Capacity allocation, ordering, and pricing decisions in a supply chain with demand and supply uncertainties. Eur. J. Oper. Res. 184 (2008) 667–684. | MR | Zbl | DOI
[16] , and , Demand functions in decision modeling: a comprehensive survey and research directions. Decis. Sci. 44 (2013) 557–609. | DOI
[17] and , Coordinated pricing and inventory decisions for perishable products. OR Spectr. 39 (2017) 589–606. | MR | DOI
[18] , and , Pricing and sourcing strategies for competing retailers in supply chains under disruption risk. Eur. J. Oper. Res. 265 (2018) 533–543. | MR | DOI
[19] , , and , Dual-channel supply chain pricing decisions with a risk-averse retailer. Int. J. Prod. Res. 52 (2014) 7132–7147. | DOI
[20] , and , Joint decision on production and pricing for online dual channel supply chain system. Appl. Math. Model. 34 (2010) 4208–4218. | MR | Zbl | DOI
[21] , , and , Coordination strategies in dual-channel supply chain considering innovation investment and different game ability. Kybernetes 49 (2019) 1581–1603. | DOI
[22] and , Joint pricing and inventory control for non-instantaneous deteriorating items with partial backlogging and time and price dependent demand. Int. J. Prod. Econ. 136 (2012) 116–122. | DOI
[23] , and , Pricing and inventory control in a supply chain of deteriorating items: a non-cooperative strategy with probabilistic parameters. Int. J. Appl. Comput. Math. 3 (2017) 2477–2499. | MR | DOI
[24] , and , Defining supply chain management: in the past, present, and future. J. Bus. Logistics 40 (2019) 44–55. | DOI
[25] , , and , A note on an EOQ model with stock and price sensitive demand. Math. Comput. Model. 49 (2009) 2029–2036. | MR | Zbl | DOI
[26] and , Application of multidivisional bi-level programming to coordinate pricing and inventory decisions in a multiproduct competitive supply chain. Int. J. Adv. Manuf. Technol. 71 (2014) 1975–1989. | DOI
[27] , and , A computational approach to economic production quantity model for perishable products with backordering shortage and stock-dependent demand. Sci. Iran. Trans. E Ind. Eng. 24 (2017) 2138–2151.
[28] , and , A differential Stackelberg game for pricing on a freight transportation network with one dominant shipper and multiple oligopolistic carriers. Sci. Iran. 23 (2016) 2391–2406.
[29] , and , Possibilistic cooperative advertising and pricing games for a two-echelon supply chain. Soft Comput. 25 (2021) 6957–6971. | DOI
[30] , and , Game-theoretic analysis of coordinating pricing and marketing decisions in a multi-product multi-echelon supply chain. Sci. Iran. 23 (2016) 1459–1473.
[31] , and , Optimal pricing and advertising decisions with suppliers’ oligopoly competition: Stakelberg-Nash game structures. J. Ind. Manage. Optim. 17 (2021) 1423. | MR | DOI
[32] , and , Joint pricing and lot-sizing for a perishable item under two-level trade credit with multiple demand classes. Comput. Ind. Eng. 127 (2019) 761–777. | DOI
[33] and , Integrating inventory planning, pricing and maintenance for perishable products in a two-component parallel manufacturing system with common cause failures. Oper. Res. J. (2020). DOI: . | DOI
[34] , and , Stackelberg–Nash–Cournot equilibria: characterizations and computations. Oper. Res. 31 (1983) 253–276. | MR | Zbl | DOI
[35] , Designing and Managing The Supply Chain. Mcgraw-Hill College (2005).
[36] , A review of multi-product pricing models. Appl. Math. Comput. 217 (2011) 8149–8165. | MR | Zbl
[37] and , An inventory control problem for deteriorating items with back-ordering and financial considerations. Appl. Math. Modell. 38 (2014) 93–109. | MR | DOI
[38] , and , A comprehensive set of models of intra and inter-organizational coordination for marketing and inventory decisions in a supply chain. Int. J. Integr. Supply Manage. 2 (2006) 251–284. | DOI
[39] , , , , and , Time-sensitive markdown strategies for perishable products based on dynamic quality evaluation. Kybernetes 50 (2020) 165–180. | DOI
[40] , Inventory control and price theory. Manage. Sci. 2 (1955) 61–68. | DOI
[41] , EOQ inventory model for items with Weibull distribution deterioration, time-varying demand and partial backlogging. Int. J. Syst. Sci. 33 (2002) 323–329. | MR | Zbl | DOI
[42] and , An integrated multi-lot-size production inventory model for deteriorating item. Comput. Oper. Res. 30 (2003) 671–682. | Zbl | DOI
[43] and , Two-echelon supply chain models: considering duopolistic retailers’ different competitive behaviors. Int. J. Prod. Econ. 103 (2006) 104–116. | DOI
[44] , and , Retailer’s optimal pricing and ordering policies for non-instantaneous deteriorating items with price-dependent demand and partial backlogging. Math. Prob. Eng. 2009 (2009) 1–18. | MR | Zbl
[45] , , , and , Collaboration for a closed-loop deteriorating inventory supply chain with multi-retailer and price-sensitive demand. Int. J. Prod. Econ. 143 (2013) 557–566. | DOI
[46] and , Joint pricing and inventory control with a Markovian demand model. Eur. J. Oper. Res. 182 (2007) 113–126. | MR | Zbl | DOI
[47] , and , Joint optimization on pricing, promotion and inventory control with stochastic demand. Int. J. Prod. Econ. 116 (2008) 190–198. | DOI
Cité par Sources :





