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

Author

Listed:
  • Mukunda Choudhury

    (Sidho-Kanho-Birsha University)

  • Sujit Kumar De

    (Midnapore College)

  • Gour Chandra Mahata

    (Sidho-Kanho-Birsha University)

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.

Suggested Citation

  • Mukunda Choudhury & Sujit Kumar De & Gour Chandra Mahata, 2023. "A pollution-sensitive multistage production-inventory model for deteriorating items considering expiration date under Stackelberg game approach," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(10), pages 11847-11884, October.
    • Handle: RePEc:spr:endesu:v:25:y:2023:i:10:d:10.1007_s10668-022-02557-3
    DOI: 10.1007/s10668-022-02557-3
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    References listed on IDEAS

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    1. Gour Chandra Mahata & Sujit Kumar De, 2016. "An EOQ inventory system of ameliorating items for price dependent demand rate under retailer partial trade credit policy," OPSEARCH, Springer;Operational Research Society of India, vol. 53(4), pages 889-916, December.
    2. Jiang Wu & Jinn-Tsair Teng & Konstantina Skouri, 2018. "Optimal inventory policies for deteriorating items with trapezoidal-type demand patterns and maximum lifetimes under upstream and downstream trade credits," Annals of Operations Research, Springer, vol. 264(1), pages 459-476, May.
    3. Wang, Wan-Chih & Teng, Jinn-Tsair & Lou, Kuo-Ren, 2014. "Seller’s optimal credit period and cycle time in a supply chain for deteriorating items with maximum lifetime," European Journal of Operational Research, Elsevier, vol. 232(2), pages 315-321.
    4. Ruihai Li & Jinn-Tsair Teng & Yingfei Zheng, 2019. "Optimal credit term, order quantity and selling price for perishable products when demand depends on selling price, expiration date, and credit period," Annals of Operations Research, Springer, vol. 280(1), pages 377-405, September.
    5. Chandra K. Jaggi & Mamta Gupta & Amrina Kausar & Sunil Tiwari, 2019. "Inventory and credit decisions for deteriorating items with displayed stock dependent demand in two-echelon supply chain using Stackelberg and Nash equilibrium solution," Annals of Operations Research, Springer, vol. 274(1), pages 309-329, March.
    6. Hovelaque, Vincent & Bironneau, Laurent, 2015. "The carbon-constrained EOQ model with carbon emission dependent demand," International Journal of Production Economics, Elsevier, vol. 164(C), pages 285-291.
    7. Hua, Guowei & Cheng, T.C.E. & Wang, Shouyang, 2011. "Managing carbon footprints in inventory management," International Journal of Production Economics, Elsevier, vol. 132(2), pages 178-185, August.
    8. Raza, Syed Asif & Govindaluri, Srikrishna Madhumohan, 2019. "Pricing strategies in a dual-channel green supply chain with cannibalization and risk aversion," Operations Research Perspectives, Elsevier, vol. 6(C).
    9. Zhang, Bin & Xu, Liang, 2013. "Multi-item production planning with carbon cap and trade mechanism," International Journal of Production Economics, Elsevier, vol. 144(1), pages 118-127.
    10. Muriana, Cinzia, 2016. "An EOQ model for perishable products with fixed shelf life under stochastic demand conditions," European Journal of Operational Research, Elsevier, vol. 255(2), pages 388-396.
    11. Battini, Daria & Persona, Alessandro & Sgarbossa, Fabio, 2014. "A sustainable EOQ model: Theoretical formulation and applications," International Journal of Production Economics, Elsevier, vol. 149(C), pages 145-153.
    12. Dobson, Gregory & Pinker, Edieal J. & Yildiz, Ozlem, 2017. "An EOQ model for perishable goods with age-dependent demand rate," European Journal of Operational Research, Elsevier, vol. 257(1), pages 84-88.
    13. Oliveira, Beatriz Brito & Carravilla, Maria Antónia & Oliveira, José Fernando, 2018. "Integrating pricing and capacity decisions in car rental: A matheuristic approach," Operations Research Perspectives, Elsevier, vol. 5(C), pages 334-356.
    14. Zhimiao Tao, 2019. "Two-Stage Supply-Chain Optimization Considering Consumer Low-Carbon Awareness under Cap-and-Trade Regulation," Sustainability, MDPI, vol. 11(20), pages 1-20, October.
    15. Cai, Xiaoqiang & Chen, Jian & Xiao, Yongbo & Xu, Xiaolin & Yu, Gang, 2013. "Fresh-product supply chain management with logistics outsourcing," Omega, Elsevier, vol. 41(4), pages 752-765.
    16. Gan, Shu-San & Pujawan, I Nyoman & Suparno, & Widodo, Basuki, 2018. "Pricing decisions for short life-cycle product in a closed-loop supply chain with random yield and random demands," Operations Research Perspectives, Elsevier, vol. 5(C), pages 174-190.
    17. Dye, Chung-Yuan & Yang, Chih-Te, 2015. "Sustainable trade credit and replenishment decisions with credit-linked demand under carbon emission constraints," European Journal of Operational Research, Elsevier, vol. 244(1), pages 187-200.
    18. Chung-Yuan Dye & Chih-Te Yang & Chi-Chuan Wu, 2018. "Joint dynamic pricing and preservation technology investment for an integrated supply chain with reference price effects," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(6), pages 811-824, June.
    19. Gour Chandra Mahata, 2016. "Optimal ordering policy with trade credit and variable deterioration for fixed lifetime products," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 25(3), pages 307-326.
    20. Chandan Mahato & Gour Chandra Mahata, 2021. "Optimal inventory policies for deteriorating items with expiration date and dynamic demand under two-level trade credit," OPSEARCH, Springer;Operational Research Society of India, vol. 58(4), pages 994-1017, December.
    21. Li, Ruihai & Teng, Jinn-Tsair, 2018. "Pricing and lot-sizing decisions for perishable goods when demand depends on selling price, reference price, product freshness, and displayed stocks," European Journal of Operational Research, Elsevier, vol. 270(3), pages 1099-1108.
    22. Sheng-Chih Chen & Jie Min & Jinn-Tsair Teng & Fuan Li, 2016. "Inventory and shelf-space optimization for fresh produce with expiration date under freshness-and-stock-dependent demand rate," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(6), pages 884-896, June.
    23. Zhou, P. & Wen, Wen, 2020. "Carbon-constrained firm decisions: From business strategies to operations modeling," European Journal of Operational Research, Elsevier, vol. 281(1), pages 1-15.
    24. Feng, Lin & Chan, Ya-Lan & Cárdenas-Barrón, Leopoldo Eduardo, 2017. "Pricing and lot-sizing polices for perishable goods when the demand depends on selling price, displayed stocks, and expiration date," International Journal of Production Economics, Elsevier, vol. 185(C), pages 11-20.
    25. YuJan Shen & KuanFu Shen & ChihTe Yang, 2019. "A Production Inventory Model for Deteriorating Items with Collaborative Preservation Technology Investment Under Carbon Tax," Sustainability, MDPI, vol. 11(18), pages 1-18, September.
    26. Ivo Hristov & Antonio Chirico & Francesco Ranalli, 2022. "Corporate strategies oriented towards sustainable governance: advantages, managerial practices and main challenges," Journal of Management & Governance, Springer;Accademia Italiana di Economia Aziendale (AIDEA), vol. 26(1), pages 75-97, March.
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