Title: An inventory system with retrial demands, multiple vacations and two supply modes

Authors: J. Kathiresan; N. Anbazhagan

Addresses: Department of Mathematics, Alagappa University, Karaikudi, India ' Department of Mathematics, Alagappa University, Karaikudi, India

Abstract: This paper analyses a continuous review inventory system with single server, multiple vacations, Poisson demand, retrial demand, exponential distributed lead time and two supply modes for replenishment with one having a shorter lead time. To derive the stationary distribution of the system, we employ the Gaver's method. After computing various system performance measures, some cost minimisation numerical results are presented.

Keywords: continuous review inventory system; positive leadtime; retrial demand; multiple vacations; two supply modes; Poisson demand; single server; finite orbit; constant retrial policy; Markov process.

DOI: 10.1504/IJOR.2020.105766

International Journal of Operational Research, 2020 Vol.37 No.4, pp.524 - 548

Received: 29 Nov 2016
Accepted: 27 Apr 2017

Published online: 03 Mar 2020 *

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