Title: An EPQ model for delayed deteriorating items with reliability consideration and quadratic demand

Authors: Sani Dari; Babangida Sani

Addresses: Department of Mathematical Sciences, Kaduna State University, Kaduna, Nigeria ' Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria

Abstract: In this paper, an EPQ model for delayed deteriorating items is developed where the demand before deterioration sets in is assumed to be different from that after deterioration sets in. There are three stages for the inventory system as follows: 1) the production build-up stage (0 ≤ tL1); 2) stage before deterioration sets in (L1tL2); 3) stage after deterioration sets in (L3tL). It is also assumed that the unit cost of production is directly proportional to the process reliability and inversely proportional to the rate of demand and shortages are not allowed. A numerical example is given to illustrate the developed model and sensitivity analysis carried out on the example to see the effect of parameter changes.

Keywords: economic production quantity; EPQ; quadratic demand; reliability; delayed deterioration.

DOI: 10.1504/IJMOR.2020.109704

International Journal of Mathematics in Operational Research, 2020 Vol.17 No.2, pp.233 - 252

Received: 19 Jan 2019
Accepted: 10 Jun 2019

Published online: 11 Sep 2020 *

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