Title: Analysis of self service (s, S) inventory with general lead time and positive service time

Authors: Anoop N. Nair; M.J. Jacob

Addresses: Department of Mathematics, College of Engineering and Management Punnapra, Alappuzha, Kerala, 688003, India ' Department of Mathematics, National Institute of Technology Calicut, Kerala, Calicut 673601, India

Abstract: This paper deals with the analysis of (s, S) inventory with general lead time and positive service time in a self service environment. The time for serving the inventory is considered as the service time. Both the inter arrival times and service times are assumed to be exponential. Unsatisfied demands are lost. The transient and steady state analysis of such an inventory system are carried out. Explicit expressions for the Laplace transforms of the joint probability distributions of the number of demands and inventory size are obtained using supplementary variable technique. Important system characteristics and numerical results are also presented.

Keywords: inventory? (s, S) inventory policy? supplementary variable techniques.

DOI: 10.1504/IJOR.2021.117689

International Journal of Operational Research, 2021 Vol.42 No.1, pp.91 - 106

Received: 15 Jan 2019
Accepted: 27 Apr 2019
Published online: 21 Sep 2021 *

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