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International Transactions in Mathematical Sciences and ComputerJuly-Dec 2023 Vol:16 Issue:2

Inventory model for deteriorating items with selling price dependent demand, investment in Green Technology and Partial Backlogging

Abstract

This study develops a sustainable inventory model for deteriorating items, incorporating the effects of selling price-dependent demand, green technology investment, and partial backlogging. Recognizing that demand often varies with selling price, the model captures this realistic market behavior while also addressing the environmental impact of production and storage through green technology adoption. Deterioration of items is explicitly modeled, affecting both inventory levels and customer satisfaction. Furthermore, the model considers partial backlogging, where shortages are partially fulfilled based on the waiting time and customer's willingness to backorder. The objective is to minimize the total inventory cost, which includes setup cost, holding cost, deterioration cost, shortage cost, and the cost of green technology investment. Analytical solutions and numerical examples illustrate the impact of key parameters on optimal pricing, ordering policies, and environmental sustainability. The results highlight the trade-offs between economic performance and ecological responsibility, offering managerial insights for sustainable inventory control in price-sensitive and environmentally conscious markets

Author

Pradeep Kumar and SK Son  ( Pages 111-137 )
Email:svsvishnu@gmail.com
Affiliation: Dept. of Mathematics, Vardhman College Bijnor      DOI:

Keyword

Inventory model, selling price demand, green technology, partial backlogging.

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