Title: A discrete time deteriorating inventory system with geometric lead time

Authors: A. Shophia Lawrence; B. Sivakumar; G. Arivarignan

Addresses: Department of Applied Mathematics and Statistics, School of Mathematics, Madurai Kamaraj University, Palkalai Nagar, Madurai – 625021, India ' Department of Applied Mathematics and Statistics, School of Mathematics, Madurai Kamaraj University, Palkalai Nagar, Madurai – 625021, India ' Department of Applied Mathematics and Statistics, School of Mathematics, Madurai Kamaraj University, Palkalai Nagar, Madurai – 625021, India

Abstract: A discrete time (s, S) inventory system with demands occurring according to a Bernoulli process and geometrically distributed lead time is considered in this work. We address the situation in which the perishable items are packaged and stored in a suitable and controlled environment so that items in the packets do not perish over time. However, when a packet is opened to meet a unit demand, we assume that all the remaining items of that packet, which are brought out of controlled environment, may start decaying. As (s, S) type ordering policy is adopted for the packets. The distribution of the inventory level is obtained in the steady state. The system performance measures are derived and the results are illustrated numerically.

Keywords: discrete time inventory systems; perishable items; positive lead times; Bernoulli demand; inventory modelling.

DOI: 10.1504/IJOR.2013.057513

International Journal of Operational Research, 2013 Vol.18 No.4, pp.484 - 498

Published online: 29 Jul 2014 *

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