A finite-source inventory system with service facility and postponed demands

J. Sebastian Arockia Jenifer, A. Shophia Lawrence () and B. Sivakumar
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J. Sebastian Arockia Jenifer: J.J. College of Engineering and Technology
A. Shophia Lawrence: Madurai Kamaraj University
B. Sivakumar: Madurai Kamaraj University

Annals of Operations Research, 2023, vol. 331, issue 2, No 11, 867-897

Abstract: Abstract In this article, a continuous review finite-source inventory system with single-server service facility is studied. The arrival of customers for unit item follows quasi-random process. The service time to process the item follows phase-type distribution. (s, S) policy is adopted for replenishing an order. The lead time follows phase-type distribution. An arriving customer who finds waiting hall full, (s)he either enters into the pool or leaves the system immediately according to a Bernoulli trial. A pooled customer is selected according to a prefixed selection policy. The joint probability distribution of the inventory level, number of customers in the pool and number of customers in the waiting hall is obtained in the steady-state case. Various stationary system performance measures are derived and total expected cost rate is calculated. Some numerical examples including optimality of the total expected cost rate are also presented.

Keywords: Finite-source inventory; Single server service facility; Postponed customers; Phase-type distribution; 90B05; 60J27 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10479-022-05041-3

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