Title: Inventory model for deteriorating items with incremental holding cost under partial backlogging

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

Addresses: Department of Mathematics, Gurukul Kangri University, Hardwar, Uttarakhand-249404, India ' Department of Mathematics, Gurukul Kangri University, Hardwar, Uttarakhand-249404, India ' Department of Mathematics, C.C.S. University, Meerut, Uttar Pradesh-250001, India

Abstract: The present paper deals with an inventory model for deteriorating items with dynamic demand. Shortages are allowed and partially backlogged. The demand has been considered as the function of inventory level during storage period and function of time during shortage period. Storage period is divided into n distinct time periods. In practice, longer storage period requires additional specialised equipment and facilities to keep the products away from deterioration. So, it is assumed that holding cost is increasing step function. The model has been discussed for n arbitrary distinct time periods of storage time and a numerical example has been solved for n = 1 and 2. The sensitivity analysis has been performed in order to examine the effect of various costs and parameters on optimal policy.

Keywords: inventory; holding cost; deterioration; partial backlogging.

DOI: 10.1504/IJMOR.2019.101615

International Journal of Mathematics in Operational Research, 2019 Vol.15 No.1, pp.110 - 126

Received: 20 Sep 2017
Accepted: 08 Feb 2018
Published online: 14 Aug 2019 *

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