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Single Supplier–Buyer Integrated Inventory Model Under Multiple JIT Delivery and Stock-Dependent Demand

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Journal of Mathematical Modelling and Algorithms

Abstract

In this paper, an integrated inventory model for a supply chain comprising of single buyer and single supplier is studied when demand is stock-dependent and units in inventory deteriorate at a constant rate. The total cost of the integrated system consists of the transportation cost, inspection cost and the cost of less flexibility under the assumption of JIT deliveries. The total integrated cost of single-supplier and single-buyer is minimized with respect to number of inspections and deliveries, the cycle time of deliveries and the delivery size for the replenishment time. A numerical example is given to validate the model. The sensitivity analysis carried out suggests that the unit inspection cost, deterioration rate of units in inventory and stock-dependent parameter are the critical factors.

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Authors and Affiliations

  1. Department of Mathematics, Gujarat University, Ahmedabad, -380 009, Gujarat, India

    Nita H. Shah

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  1. Nita H. Shah
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Correspondence to Nita H. Shah.

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Shah, N.H. Single Supplier–Buyer Integrated Inventory Model Under Multiple JIT Delivery and Stock-Dependent Demand. J Math Model Algor 10, 293–305 (2011). https://doi.org/10.1007/s10852-011-9156-2

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  • DOI: https://doi.org/10.1007/s10852-011-9156-2

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