A pollution-sensitive multistage production-inventory model for deteriorating items considering expiration date under Stackelberg game approach

Mukunda Choudhury (), Sujit Kumar De () and Gour Chandra Mahata ()
Additional contact information
Mukunda Choudhury: Sidho-Kanho-Birsha University
Sujit Kumar De: Midnapore College
Gour Chandra Mahata: Sidho-Kanho-Birsha University

Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, 2023, vol. 25, issue 10, No 51, 11847-11884

Abstract: Abstract In this study, we formulate a multilayer sustainable production-inventory supply chain (SC) model with deterioration and pollution. The SC members are the supplier of raw materials, the producer (vendor/manufacturer) and the retailer. The demand rate of the items follows a comprehensive function of the unit selling price and freshness (related to expiration dates) function at the retailer’s shop. Considering a case study, a multi-layer SC model has been studied with the help of the inclusion of a new pollution function. Basically, the manufacturer’s and retailer’s individual nonlinear average profit functions have been analyzed under various parametric conditions. The retailer’s profit function has been optimized with the help of convexity/concavity criteria over Hessian matrix and eigenvalue characterization theorem. With the help of a new solution algorithm via Stackelberg game approach, we obtain the optimal decisions of the supply chain also. Finally, numerical illustrations, sensitivity analysis and graphical illustrations are made to validate the proposed model.

Keywords: Supply chain; Carbon emission; Expiry date; Stackelberg game; Price and freshness-dependent demand (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1007/s10668-022-02557-3 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:endesu:v:25:y:2023:i:10:d:10.1007_s10668-022-02557-3

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10668

DOI: 10.1007/s10668-022-02557-3

Access Statistics for this article

Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development is currently edited by Luc Hens

More articles in Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().