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Effects of Variable Production Rate and Time-Dependent Holding Cost for Complementary Products in Supply Chain Model

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  • Mitali Sarkar
  • Sun Hur
  • Biswajit Sarkar

Abstract

Recently, a major trend is going to redesign a production system by controlling or making variable the production rate within some fixed interval to maintain the optimal level. This strategy is more effective when the holding cost is time-dependent as it is interrelated with holding duration of products and rate of production. An effort is made to make a supply chain model (SCM) to show the joint effect of variable production rate and time-varying holding cost for specific type of complementary products, where those products are made by two different manufacturers and a common retailer makes them bundle and sells bundles to end customers. Demand of each product is specified by stochastic reservation prices with a known potential market size. Those players of the SCM are considered with unequal power. Stackelberg game approach is employed to obtain global optimum solution of the model. An illustrative numerical example, graphical representation, and managerial insights are given to illustrate the model. Results prove that variable production rate and time-dependent holding cost save more than existing literature.

Suggested Citation

  • Mitali Sarkar & Sun Hur & Biswajit Sarkar, 2017. "Effects of Variable Production Rate and Time-Dependent Holding Cost for Complementary Products in Supply Chain Model," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-13, May.
    • Handle: RePEc:hin:jnlmpe:2825103
    DOI: 10.1155/2017/2825103
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    Cited by:

    1. Saha, Subrata & Chatterjee, Debajyoti & Sarkar, Biswajit, 2021. "The ramification of dynamic investment on the promotion and preservation technology for inventory management through a modified flower pollination algorithm," Journal of Retailing and Consumer Services, Elsevier, vol. 58(C).
    2. Tufail Habib & Muhammad Omair & Muhammad Salman Habib & Muhammad Zeeshan Zahir & Sikandar Bilal Khattak & Se-Jin Yook & Muhammad Aamir & Rehman Akhtar, 2023. "Modular Product Architecture for Sustainable Flexible Manufacturing in Industry 4.0: The Case of 3D Printer and Electric Toothbrush," Sustainability, MDPI, vol. 15(2), pages 1-29, January.
    3. Sharmistha Halder Jana & Biswapati Jana & Barun Das & Goutam Panigrahi & Manoranjan Maiti, 2019. "Constrained FC 4D MITPs for Damageable Substitutable and Complementary Items in Rough Environments," Mathematics, MDPI, vol. 7(3), pages 1-26, March.

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