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Bi-objective optimization model with economic and environmental consideration for an integrated supply chain with random demand and flexible production rate

Author

Listed:
  • Arindam Ghosh

    (Vijaybhoomi University)

  • Maheswar Singha Mahapatra

    (Indian Institute of Management Mumbai)

Abstract

An integrated production–inventory model that simultaneously considers economic and environmental dimensions is developed in this paper. In the area of supply chain management, researchers and practioners often minimize the cost or profit, keeping the environmental aspect as a constraint. Only a few papers have taken up multi-objective optimization to offer better decision-making. The order quantity, re-order level, production rate, shipment number and vehicle velocity are optimized to minimize the total expected cost and the emissions simultaneously under random demand and in the presence of backorder and loss of sales. A Pareto front is developed to present the trade-off between expected cost and emission. The solution of the multi-objective model is obtained through a benchmark and widely used multi-objective algorithm NSGA-II. The key insights and outcomes are presented through numerical illustration and sensitivity analysis of important parameters. It has been observed that with increasing velocity total expected cost decreases. The total expected emission also decreases initially and increases after a threshold limit. Production rate takes few distinct values while offering the trade-off between expected cost and emission.

Suggested Citation

  • Arindam Ghosh & Maheswar Singha Mahapatra, 2024. "Bi-objective optimization model with economic and environmental consideration for an integrated supply chain with random demand and flexible production rate," OPSEARCH, Springer;Operational Research Society of India, vol. 61(3), pages 1541-1561, September.
    • Handle: RePEc:spr:opsear:v:61:y:2024:i:3:d:10.1007_s12597-023-00726-0
    DOI: 10.1007/s12597-023-00726-0
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    References listed on IDEAS

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    1. T. M. Rofin & Maheswar Singha Mahapatra & Biswajit Mahanty, 2021. "Impact of green retail operations on the profit of the manufacturer and the retailer under different pricing strategies," OPSEARCH, Springer;Operational Research Society of India, vol. 58(1), pages 125-143, March.
    2. 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.
    3. Juanjuan Qin & Xiaojian Bai & Liangjie Xia, 2015. "Sustainable Trade Credit and Replenishment Policies under the Cap-And-Trade and Carbon Tax Regulations," Sustainability, MDPI, vol. 7(12), pages 1-22, December.
    4. Bazan, Ehab & Jaber, Mohamad Y. & Zanoni, Simone, 2017. "Carbon emissions and energy effects on a two-level manufacturer-retailer closed-loop supply chain model with remanufacturing subject to different coordination mechanisms," International Journal of Production Economics, Elsevier, vol. 183(PB), pages 394-408.
    5. Konur, Dinçer & Campbell, James F. & Monfared, Sepideh A., 2017. "Economic and environmental considerations in a stochastic inventory control model with order splitting under different delivery schedules among suppliers," Omega, Elsevier, vol. 71(C), pages 46-65.
    6. Wahab, M.I.M. & Mamun, S.M.H. & Ongkunaruk, P., 2011. "EOQ models for a coordinated two-level international supply chain considering imperfect items and environmental impact," International Journal of Production Economics, Elsevier, vol. 134(1), pages 151-158, November.
    7. Ayşegül Toptal & Bilgesu Çetinkaya, 2017. "How supply chain coordination affects the environment: a carbon footprint perspective," Annals of Operations Research, Springer, vol. 250(2), pages 487-519, March.
    8. Biswajit Sarkar & Sharmila Saren & Debjani Sinha & Sun Hur, 2015. "Effect of Unequal Lot Sizes, Variable Setup Cost, and Carbon Emission Cost in a Supply Chain Model," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-13, November.
    9. Zied Jemai & Y Bouchery & Asma Ghaffari & Yves Dallery, 2012. "Including sustainability criteria into inventory models," Post-Print hal-01672398, HAL.
    10. Bouchery, Yann & Ghaffari, Asma & Jemai, Zied & Dallery, Yves, 2012. "Including sustainability criteria into inventory models," European Journal of Operational Research, Elsevier, vol. 222(2), pages 229-240.
    11. Daria Battini & Martina Calzavara & Ilaria Isolan & Fabio Sgarbossa & Francesco Zangaro, 2018. "Sustainability in Material Purchasing: A Multi-Objective Economic Order Quantity Model under Carbon Trading," Sustainability, MDPI, vol. 10(12), pages 1-15, November.
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