A profit maximization model for sustainable inventory under preservation technology and linear time-dependent holding cost

Authors

  • Aashish Division of Mathematics, School of Advanced Sciences and Languages (SASL), VIT Bhopal University, Kotri Kalan, Sehore, Madhya Pradesh 466114, INDIA
  • Pavan Kumar Division of Mathematics, School of Advanced Sciences and Languages (SASL), VIT Bhopal University, Kotri Kalan, Sehore, Madhya Pradesh 466114, INDIA

Abstract

This paper presents sustainable inventory model with constant deterioration rate when holding cost is time dependent. Demand rate is price and stock dependent. Preservation technology and carbon emission are considered for more sustainable approach. Shortages are allowed and are fully backlogged. In addition, a mathematical model is constructed to maximize the total profit function and the concavity is shown using three-dimensional graph. A numerical experimentation is carried to compute the total profit and the order quantity. To validate the proposed model, the sensitivity analysis is conducted for the total profit function as well as the order quantity. Results and observations are also discussed along with managerial insights.

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Published

2025-02-04

Issue

Vol. 16 No. 1 (2025): CRORR

Section

CRORR Journal Regular Issue

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