Pricing Models for a Two-echelon Supply Chain with Substitute and Complementary Products Considering Disruption Risk

Document Type : Research Paper

Authors

1 Industrial Engineering Department, Faculty of Engineering, Kharazmi University,Tehran, Iran

2 Business Department, Faculty of Economics, Administrative and Social Sciences, Nisantasi University, Istanbul, Turkey

3 Mechanical, Automotive & Materials Engineering department, Windsor University, Windsor, Canada

Abstract

Nowadays in markets, products are categorized as an independent, substitute, and complementary ones. Being a complementary product could impact the demand for related products, so the pricing of these items could affect the other ones’ demand. To investigate these effects, here a two-echelon supply chain with three manufacturers and a distributor for two substitutes and one complimentary product simultaneously has been investigated. The relationships between the manufacturers and the distributer are modeled by both cooperative and non-cooperative games. Due to political discussions, equipment failure, and natural disasters, our supply chain would confront disruption between the distributor and the manufacturers, which brings dissatisfaction, and the orders could not be fulfilled by manufacturers completely. Above mentioned issues bring variations in wholesalers and distributor prices. The optimal prices for both have been determined in our proposed model by taking advantage of game theories as well. Finally, the effects of key parameters on supply chain decisions and profit functions were investigated and numerical examples were developed to show the performance of the model, and sensitivity analysis was performed on important parameters to derive managerial insights.

Keywords

References

Ai, X., Chen, J. , Zhao, H.   , and Tang, X.(2012). Competition among supply chains: Implications of full returns policy. International Journal of Production Economics, Vol. 139(1), pp. pp. 257-265.

Ali, S. M., Rahman, M. H.  , Tumpa, T. J., Rifat, A. A. M., and Paul, S. K.(2018).  Examining price and service competition among retailers in a supply chain under potential demand disruption. Journal of Retailing and Consumer Services, Vol. 40, pp. 40-47.

Arshadi Khamseh, A., Soleimani , F. , and Naderi, B.(2014). Pricing decisions for complementary products with firm's different market powers in fuzzy environments. Journal of Intelligent & Fuzzy Systems, Vol. 27(5), pp.2327-2340.

Cao, P., Li, J., and Yan, H.(2012). Optimal dynamic pricing of inventories with stochastic demand and discounted criterion. European Journal of Operational Research, Vol. 217 (3), pp.580-588.

Chen, Y. C., Fang, S. C.  , and Wen, U. P.(2013).  Pricing policies for substitutable products in a supply chain with Internet and traditional channels. European Journal of Operational Research, Vol. 224(3), pp. 542-551.

Dan, B., Xu, G. , and   Liu, C.(2012). Pricing policies in a dual-channel supply with retail services. International Journal of Production Economics, Vol. 139(1), pp. 312-320.

Esmaeilzadeh, A., and Taleizadeh, A. A.(2016). Pricing in a two-echelon supply chain with different market powers: game theory approaches. Journal of Industrial Engineering, International, Vol. 12(1), pp.119-135.

Hua, G., Wang, S. , and Cheng, T. C. E. (2010).  Price and lead time decisions in a dual-channel supply chains. European Journal of Operational Research, Vol. 205(1), pp.113-126.

Huang, S.,  Yang, C., and Zhang, X.  (2012). price and production decisions in dual-channel supply chains with demand disruption. Computers & Industrial Engineering, Vol. 62(1), pp.70-83.

Karakul, M., and Chan, L. M. A. (2010). Joint pricing and procurement of substitutable products with random demands – A technical note. European Journal of Operational Research, Vol. 201(1), pp. 324-328.

Kuo, C., and Huang, K.(2012). Dynamic pricing of limited inventories for multi-generation products. European Journal of Operational Research, Vol. 217(2), pp. 394-403.

Li, Z. (2010). Regulating risk-averse producers: The case of complementary products.” Economics Letters, Vol. 106(3), pp. 230–233.

 
 

Lleras, J. S., and Miller, N. H.(2010). The entry incentives of complementary producers: A simple model with implications for antitrust policy. Economics Letters, Vol. 110(2), pp. 147-150.

Maity, K., and Maiti, M.(2009). Optimal inventory policies for deteriorating complementary and substitute items. International Journal of Systems Science, Vol. 40(3), pp. 267–276.

Mohsenzadeh Ledari, A., Pasandideh, S. H. R., and Nouri Koupaei, M.(2018). A new newsvendor policy model for dual-sourcing supply chains by considering disruption risk and special order. Journal of Intelligent Manufacturing, Vol. 29(1), pp. 237-244.

Mukhopadhyay, K.,  Yue, S. , and Zhu, X.(2011). A stackelberg model of pricing of complementary goods under information asymmetry. International Journal of Production Economics, Vol. 134(2), pp. 424-433.

Qi, L.(2013). A continuous-review inventory model with random disruptions at the primary supplier. European Journal of Operational Research, Vol. 225(1), pp. 59–74.

Schmitt, A. J., and Snyder, L. V.(2012). Infinite horizon models for inventory control under yield uncertainty and disruptions. Computers & Operations Research, Vol. 39(4), pp. 850–862.

Seyed Esfahani , M., Biazaran, M.  , and Gharakhani, M.(2011).  A game theoretic approach to coordinate pricing and vertical co-op advertising in manufacturer-retailer supply chain. European Journal of Operational Research, Vol. 211(2), pp. 263-273.

Shavandi, H., Mahlooji, H. , and  Nosratian, N. E.(2012). A constrained multi-product pricing and inventory control problem. Applied Soft Computing, Vol. 12(8), pp. 2454–2461.

Taleizadeh, A. A., and Noori-daryan, M.(2016). Pricing, inventory and production policies in a supplychain of pharmacological products with rework process: a game theoretic approach. Operational Research, Vol. 16(1), pp. 89-115.

Wei, J., Zhao, J. , and  Li, Y.(2013). Pricing decisions for complementary products with firms different market powers. European Journal of Operational Research, Vol. 224(3), pp. 507–519.

Wei,J., and Zhao, J.(2015). Pricing and remanufacturing decisions in two competing supply chains. International Journal of Production Research, Vol. 53(1), pp. 258-278.

Wu, C. H. , Chen, C. W. , and Hsieh, C. C.(2012). Competitive pricing decisions in a two-echelon supply chain with horizontal and vertical competition. International Journal of Production Economics, Vol. 135 (1), pp. 265-274.

Xanthopoulos, A., Vlachos, D. , and Iakovou, E.(2012).Optimal newsvendor policies for dual-sourcing supply chains: A disruption risk management framework. Computers & Operations Research, Vol. 39(2), pp. 350–357.

Xie,W.(2017). Optimal pricing and two-dimensional warranty policies for a new product. International Journal of Production Research, Vol. 55(22), pp. 6857-6870.

Zhang, R., Kaku, I. , and  Xiao, Y.(2012). Model and heuristic algorithm of the joint replenishment problem with complete backordering and correlated demand. International Journal of Production Economics, Vol. 139(1), pp. 33–41.

Zhao, J., Tang, W., Zhao, R.  , and Wei, J.(2012). Pricing decisions for substitutable products with a common retailer in fuzzy environments. European Journal of Operational Research, Vol. 216(2), pp. 409-419.

Zhang, R.Q., Kaku, I. , and Xiao, Y.Y.(2011). Deterministic EOQ with partial backordering and correlated demand caused by cross-selling. European Journal of Operational Research, Vol. 210(3), pp. 573-551.

Zhao, J., and Wei, J.(2012). Pricing game of two substitutable products supply chains under centralized and decentralized decisions. Journal of the Chinese Institute of Industrial Engineers, Vol. 29(7), pp. 435-443.

Zhao, J., Tang, W., and Wei, J.(2012).  Pricing decision for substitutable products with retail competition in a fuzzy environment.  International Journal of Production Economics, Vol. 135(1) , pp. 144-153.

Sangaiah,A.K., Babaee Tirkolaee,E., Goli,A., and Dehnavi-Arani,S.(2020). Robust ptimization and mixed-integer linear programming model for LNG supply chain planning problem. Soft Computing, Vol.24, pp. 7885-7905.

Song, H., Chu,H., Yue,H., and Chen,Y.(2022). Green supply chain coordination with substitutable products under cost sharing contract. Procedia Computer Science, Vol. 199, pp.1112-1119.

Sun,Z., Xu,Q., & Liu, J.(2021). Pricing and replenishment decisions for seasonal and nonseasonal products in a shared supply chain. International Journal of Production Economics, Vol.  233(7), pp. 1-17.

Gheibi, S. and Fay,S.(2021). The impact of supply disruption risk on a retailer’s pricing and procurement strategies in the presence of a substitute product. Journal of Retailing, Vol.  97(3), pp. 359-376.

Liu, Z., Li,M., and Zhai,X.(2022). Managing supply chain disruption threat via a strategy combining pricing and self-protection. International Journal of Production Economics, Vol. 247, https://doi.org/10.1016/j.cie.2021.107433.

International Journal of Supply and Operations Management
Volume 10, Issue 2
May 2023
Pages 187-208

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