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Effect of Unequal Lot Sizes, Variable Setup Cost, and Carbon Emission Cost in a Supply Chain Model

Author

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  • Biswajit Sarkar
  • Sharmila Saren
  • Debjani Sinha
  • Sun Hur

Abstract

Due to heavy transportation for single-setup multidelivery (SSMD) policy in supply chain management, this model assumes carbon emission cost to obtain a realistic behavior for world environment. The transportation for buyer and vendor is considered along with setup cost reduction by using an investment function. It is assumed that the shipment lot size of each delivery is unequal and variable. The buyer inspects all received products and returns defective items to vendor for reworking process. Because of this policy, end customers will only obtain nondefective items. The analytical optimization is considered to obtain the optimum solution of the model. The main goal of this paper is to reduce the total cost by considering carbon emission during the transportation. A numerical example, graphical representation, and sensitivity analysis are given to illustrate the model.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnlmpe:469486
    DOI: 10.1155/2015/469486
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    Cited by:

    1. Sarkar, Biswajit & Sarkar, Mitali & Ganguly, Baishakhi & Cárdenas-Barrón, Leopoldo Eduardo, 2021. "Combined effects of carbon emission and production quality improvement for fixed lifetime products in a sustainable supply chain management," International Journal of Production Economics, Elsevier, vol. 231(C).
    2. Shaktipada Bhuniya & Biswajit Sarkar & Sarla Pareek, 2019. "Multi-Product Production System with the Reduced Failure Rate and the Optimum Energy Consumption under Variable Demand," Mathematics, MDPI, vol. 7(5), pages 1-20, May.
    3. Soumya Kanti Hota & Biswajit Sarkar & Santanu Kumar Ghosh, 2020. "Effects of Unequal Lot Size and Variable Transportation in Unreliable Supply Chain Management," Mathematics, MDPI, vol. 8(3), pages 1-24, March.
    4. Yuhe Shi & Zhenggang He, 2018. "Decision Analysis of Disturbance Management in the Process of Medical Supplies Transportation after Natural Disasters," IJERPH, MDPI, vol. 15(8), pages 1-18, August.
    5. Asif Iqbal Malik & Biswajit Sarkar, 2019. "Coordinating Supply-Chain Management under Stochastic Fuzzy Environment and Lead-Time Reduction," Mathematics, MDPI, vol. 7(5), pages 1-28, May.
    6. Shib Sankar Sana, 2022. "A structural mathematical model on two echelon supply chain system," Annals of Operations Research, Springer, vol. 315(2), pages 1997-2025, August.
    7. Mowmita Mishra & Soumya Kanti Hota & Santanu Kumar Ghosh & Biswajit Sarkar, 2020. "Controlling Waste and Carbon Emission for a Sustainable Closed-Loop Supply Chain Management under a Cap-and-Trade Strategy," Mathematics, MDPI, vol. 8(4), pages 1-24, March.

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