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Optimal Investment in Preservation Technology for Variable Demand under Trade-Credit and Shortages

Author

Listed:
  • Mrudul Y. Jani

    (Department of Applied Sciences, Faculty of Engineering and Technology, Parul University, Vadodara 391760, Gujarat, India)

  • Manish R. Betheja

    (Department of Applied Sciences, Faculty of Engineering and Technology, Parul University, Vadodara 391760, Gujarat, India)

  • Urmila Chaudhari

    (Government Polytechnic Dahod, Dahod 389151, Gujarat, India)

  • Biswajit Sarkar

    (Department of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seodaemun-gu, Seoul 03722, Korea)

Abstract

In particular business transactions, the supplier usually provides an admissible delay in settlement to its vendor to encourage further sales. Additionally, the demand for the commodity is inversely proportional to the function of the sales price, which is non-linear and, in some situations, a holding cost rises over time. Moreover, many goods often deteriorate consistently and shall not be sold after their expiration dates. This study analyses a model for perishable products with a maximum life span with price-dependent demand and trade credit by assimilating these variations and under the supposition of time-varying holding cost. Furthermore, to diminish the rate of deterioration, investment for preservation technology is often taken into account beforehand. Based on real-life circumstances, shortages are admitted and backlogged partially, with an exponential rise in wait time before the new good emerges. The key ambition is to calculate the optimum investment under preservation, sales price, and cycle time using the classical optimization algorithm to maximize the vendor’s net profit. Additionally, to clarify the outcomes, the numerical illustrations are addressed, and the sensitivity analysis of significant parameters is eventually implemented.

Suggested Citation

  • Mrudul Y. Jani & Manish R. Betheja & Urmila Chaudhari & Biswajit Sarkar, 2021. "Optimal Investment in Preservation Technology for Variable Demand under Trade-Credit and Shortages," Mathematics, MDPI, vol. 9(11), pages 1-12, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:11:p:1301-:d:569778
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    References listed on IDEAS

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    1. Tiwari, Sunil & Cárdenas-Barrón, Leopoldo Eduardo & Goh, Mark & Shaikh, Ali Akbar, 2018. "Joint pricing and inventory model for deteriorating items with expiration dates and partial backlogging under two-level partial trade credits in supply chain," International Journal of Production Economics, Elsevier, vol. 200(C), pages 16-36.
    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. Nita H. Shah & Urmila Chaudhari & Mrudul Y. Jani, 2017. "Inventory model with expiration date of items and deterioration under two-level trade credit and preservation technology investment for time and price sensitive demand: DCF approach," International Journal of Logistics Systems and Management, Inderscience Enterprises Ltd, vol. 27(4), pages 420-437.
    4. Ji Seong Noh & Jong Soo Kim & Biswajit Sarkar, 2019. "Stochastic joint replenishment problem with quantity discounts and minimum order constraints," Operational Research, Springer, vol. 19(1), pages 151-178, March.
    5. Dye, Chung-Yuan & Hsieh, Tsu-Pang, 2012. "An optimal replenishment policy for deteriorating items with effective investment in preservation technology," European Journal of Operational Research, Elsevier, vol. 218(1), pages 106-112.
    6. J-T Teng, 2002. "On the economic order quantity under conditions of permissible delay in payments," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(8), pages 915-918, August.
    7. P. L. Abad, 1996. "Optimal Pricing and Lot-Sizing Under Conditions of Perishability and Partial Backordering," Management Science, INFORMS, vol. 42(8), pages 1093-1104, August.
    8. Nita H. Shah & Mrudul Y. Jani & Urmila Chaudhari, 2018. "Optimal replenishment time for retailer under partial upstream prepayment and partial downstream overdue payment for quadratic demand," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 24(1), pages 1-11, January.
    9. Mehran Ullah & Biswajit Sarkar & Iqra Asghar, 2019. "Effects of Preservation Technology Investment on Waste Generation in a Two-Echelon Supply Chain Model," Mathematics, MDPI, vol. 7(2), pages 1-20, February.
    10. Alfares, Hesham K., 2007. "Inventory model with stock-level dependent demand rate and variable holding cost," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 259-265, July.
    11. 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).
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    Cited by:

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    2. Qingren He & Shuting Li & Fei Xu & Wanhua Qiu, 2022. "Deep-Processing Service and Pricing Decisions for Fresh Products with the Rate of Deterioration," Mathematics, MDPI, vol. 10(5), pages 1-19, February.

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