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An integrated production-inventory model with backorder and lot for lot policy in fuzzy sense

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  • Gour Chandra Mahata

Abstract

In this paper, an inventory model for two-stage supply chain is investigated in the fuzzy sense. A supply chain with single vendor and single buyer is considered. We assume that shortage as a backorder is allowed for the buyer and the vendor makes the production set up every time the buyer places an order and supplies on a lot for lot basis. The decision variables are fuzzy order quantity and fuzzy shortage quantity which are expressed as triangular fuzzy numbers. After developing the mathematical model for the joint total relevant cost in fuzzy sense, its membership function is calculated and then defuzzified with the centroid method. The proposed model is solved and the amount of joint total relevant cost function in fuzzy sense is compared with the crisp one.

Suggested Citation

  • Gour Chandra Mahata, 2015. "An integrated production-inventory model with backorder and lot for lot policy in fuzzy sense," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 7(1), pages 69-102.
    • Handle: RePEc:ids:ijmore:v:7:y:2015:i:1:p:69-102
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    Cited by:

    1. Oshmita Dey, 2019. "A fuzzy random integrated inventory model with imperfect production under optimal vendor investment," Operational Research, Springer, vol. 19(1), pages 101-115, March.
    2. Chandan Mahato & Gour Chandra Mahata, 2023. "Optimal ordering policy under order-size dependent trade credit and complete backlogging derived algebraically," OPSEARCH, Springer;Operational Research Society of India, vol. 60(1), pages 420-444, March.

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