International Journal of Inventory Control and Management

International Journal of Inventory Control and ManagementJuly-December 2022 Vol:11 Issue:2

A Sustainable Supply Chain Inventory Model with Environmental Preferences for Shortages


Supply chain management has become more and more focused on environmental sustainability. We study several cooperation contracts within a green product supply chain and investigate their environmental performance. Throughout this paper, we examine a two-tier supply chain comprising a manufacturer and retailer, in which a manufacturer designs and produces a green product, and a retailer successfully markets it in its marketplace through green marketing. The demand is based on the selling price, the green degree, and the preferences of the consumers. Shortages are allowed and fully backlogged. We have provided a closed-form solution for determining the optimal values of green degree, selling price, and replenishment cycle. Moreover, the global optimality of the objective function is discussed analytically and numerically, along with a perfect counter plot, which provides a peek at the center of the plot. A sensitivity analysis of key parameters is provided, along with numerical examples with graphical representations, to validate the model.



Karuna Rana and S.R. Singh  ( Pages 85-102 )
Affiliation: Department of Mathematics, C.C.S. University Meerut-250001(U.P) India      DOI:


Supply chain, Consumer’s green preference, Green degree, Shortages. Deteriorations. Supply chain; Consumer’s green preference; Green degree; Shortages; Deteriorations.


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