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STABILITY BOUNDS COMPARISON IN THE (R, s, lnQ) INVENTORY MODEL
1 : Research Unit LaMOS (Modeling and Optimization of Systems), Faculty of Exact Sciences, University of Bejaia, Bejaia, 06000, Algeria
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Website
University of Bejaia, Bejaia, 06000, Algeria -
Algeria
2 : Laboratoire de Modélisation et Optimisation des Systèmes [Béjaïa]
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Website
* : Corresponding author
Rue Targa Ouzemour, Bejaia -
Algeria
In this work, we study the sensitivity of a periodic review inventory system under the (R, s, lnQ)
control policy and instantaneous replenishment of non-perishable items. We mainly choose the
strong stability method and the absolute stability method to evaluate the approximation error
of some characteristics due to the perturbation (demand rate, demand law). After having found
the transition matrix of the Markov chain describing the studied model, we continue with a numerical
study where we explore the effect of each perturbation of the (R, s, lnQ) model on its
performance measures (average stock and total cost) and we end with a comparative study of the
results established by the two methods.
