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Optimal replenishment policies of an EOQ model for non-instantaneous Weibull deteriorating items with ramp-type of demand under shortages

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  • M. Valliathal
  • R. Uthayakumar

Abstract

This paper discusses the effects of ramp-type of demand on an EOQ model for non-instantaneous Weibull deteriorating items under time-dependent partial backlogging. Here, we consider a retailer who purchases and sells a single product over an infinite time horizon faces a ramp-type of demand. Shortages are allowed and partially backlogged. The time to the deterioration of the item is distributed as Weibull. Total cost and the optimum number of replenishments are taken here as decision variables. The objective is to obtain the optimal replenishment policies that minimise the total cost. For demonstrating the model numerical samples are explained in the following sections.

Suggested Citation

  • M. Valliathal & R. Uthayakumar, 2016. "Optimal replenishment policies of an EOQ model for non-instantaneous Weibull deteriorating items with ramp-type of demand under shortages," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 8(1), pages 60-86.
    • Handle: RePEc:ids:ijmore:v:8:y:2016:i:1:p:60-86
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    Cited by:

    1. Hardik N. Soni & Dipali N. Suthar, 2020. "Optimal pricing and replenishment policy for non-instantaneous deteriorating items with varying rate of demand and partial backlogging," OPSEARCH, Springer;Operational Research Society of India, vol. 57(3), pages 986-1021, September.

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