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

Authors: M. Valliathal; R. Uthayakumar

Addresses: Department of Mathematics, Chikkaiah Naicker College, Erode, Tamilnadu, 638004, India ' Department of Mathematics, Gandhigram University, Gandhigram, Tamilnadu, 624 302, India

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.

Keywords: ameliorating items; shortages; ramp-type demand; partial backlogging; non-instantaneous deteriorating items; optimisation; replenishment policies; EOQ model; economic order quantity; inventory modelling; inventory management.

DOI: 10.1504/IJMOR.2016.073279

International Journal of Mathematics in Operational Research, 2016 Vol.8 No.1, pp.60 - 86

Received: 15 Jan 2014
Accepted: 24 Jun 2014

Published online: 30 Nov 2015 *

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