Title: Deterministic inventory model for items with linear demand, variable deterioration and partial backlogging

Authors: Saurabh Srivastava; Harendra Singh

Addresses: Department of Mathematics, Hindustan College of Science and Technology, Farah, Mathura, Uttar Pradesh, India ' Department of Mathematics, Hindustan College of Science and Technology, Farah, Mathura, Uttar Pradesh, India

Abstract: A deterministic inventory model is developed for a deteriorating item having linear demand and variable deterioration rate. Shortages are allowed and partially backlogged. In developing the model we have assumed that the rate of backlogging is variable and dependent on the waiting time for the next replenishment. The objective of the model is to develop an optimal policy that minimises the total average cost. Suitable numerical example has been discussed to understand the problem. Sensitivity analysis has been carried out to show the effect of changes in the parameter on the optimum total average cost.

Keywords: inventory; deteriorating item; linear demand; shortages; partial backlogging; variable deteriorating rate.

DOI: 10.1504/IJIR.2017.090378

International Journal of Inventory Research, 2017 Vol.4 No.4, pp.333 - 349

Received: 24 Jul 2017
Accepted: 26 Sep 2017
Published online: 13 Mar 2018 *

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