Title: A partially backlogged EPQ model with demand dependent production and non-instantaneous deterioration

Authors: Sanjay Singh; S.R. Singh; Seema Sharma

Addresses: Department of Mathematics, Gurukul Kangri University, Hardwar, Uttarakhand-249404, India ' Department of Mathematics, Chaudhary Charan Singh University, Meerut, Uttar Pradesh-250001, India ' Department of Mathematics, Gurukul Kangri University, Hardwar, Uttarakhand-249404, India

Abstract: The present paper deals with a production inventory system for non-instantaneous deteriorating items with demand dependent production rate. It is assumed that demand rate is exponentially increasing function of time. Shortages are considered and partially backordered at a rate of decreasing function of waiting time for next replenishment. Herein, two cases for life time approach regarding the production stopping time point have been studied separately. The numerical examples have been provided separately to illustrate each case. Finally, sensitivity analysis has also been made to show the behaviour of presented model in each case.

Keywords: inventory management; economic production quantity; EPQ; variable production; partial backlogging; demand dependent production; non-instantaneous deterioration; production inventory systems; inventory modelling; deteriorating items.

DOI: 10.1504/IJMOR.2017.081926

International Journal of Mathematics in Operational Research, 2017 Vol.10 No.2, pp.211 - 228

Received: 12 Feb 2015
Accepted: 06 Jun 2015
Published online: 31 Jan 2017 *

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