Original scientific paper
https://doi.org/10.17535/crorr.2025.0008
A profit maximization model for sustainable inventory under preservation technology and linear time-dependent holding cost
- Aashish
orcid.org/0009-0001-8664-7635
; Division of Mathematics, School of Advanced Sciences and Languages (SASL), VIT Bhopal University, Kothri Kalan, Sehore, Madhya Pradesh, India
*
Pavan Kumar
orcid.org/0000-0001-5340-7777
; Division of Mathematics, School of Advanced Sciences and Languages (SASL), VIT Bhopal University, Kothri Kalan, Sehore, Madhya Pradesh, India
* Corresponding author.
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.
Keywords
carbon emission; inventory; preservation technology; shortages; sustainable
Hrčak ID:
327455
URI
Publication date:
4.2.2025.
Visits: 141 *