Original scientific paper

https://doi.org/10.17535/crorr.2027.0003

Modelling and performance analysis of a continuous $(R,s,S)$ inventory model

Halima Khineche ; Department of Mathematics, University of Biskra, Biskra, Algeria; Laboratory of Applied Mathematics, University of Biskra, Biskra, Algeria
Mouloud Cherfaoui ; Research Unit LaMOS, University of Bejaia, Bejaia, Algeria; Department of Mathematics, University of Biskra, Biskra, Algeria. *

* Corresponding author.

Abstract

This work aims to analyze an inventory system controlled by an $(R,s, S)$ policy, whose stored product is described by a random continuous variable. We first propose to model the state of the considered system using a non-homogeneous discrete Markov chain (DMC) defined at inspection dates, without any restriction on the nature (Markovian or non-Markovian) of the processes governing the system. In addition, the special case where the processes governing the system are Markovian is examined. The resulting model simplifies to a homogeneous DMC, allowing for a more tractable numerical analysis. Then, an economic model associated with such systems was derived. Finally, our results were illustrated with numerical examples.

Keywords

costs; inspection; inventory model; Markov chain; non-homogeneous processes

Hrčak ID:

351140

URI

https://hrcak.srce.hr/351140

Publication date:

21.9.2026.

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