C&SA | Contents

Volume 48>№ 1 JANUARY — FEBRUARY 2012

UDC 218.2

Aliyev R.T.,¹ Khaniyev Т.А.²
¹Baku State University, Baku, Azerbaijan,
e-mail: aliyevrt@mail.ru
²Institute of Cybernetics, National Academy of Sciences of Azerbaijan, Baku, Azerbaijan and TOBB University of Economics and Technology, Ankara, Turkey,
e-mail: tahirkhaniyev@etu.edu.tr.

ON THE RATE OF CONVERGENCE IN THE ASYMPTOTIC EXPANSION FOR THE ERGODIC DISTRIBUTION OF A SEMI-MARKOV INVENTORY CONTROL MODEL OF TYPE (s, S)

// Kibernetika i sistemnyj analiz. 2012. Vol. 48, N 1. P. 138–143.

Abstract. A stochastic process that describes a so-called inventory control model of type (s, S) is considered. The asymptotic behavior of the ergodic distribution of the process is investigated. It is established that the function of the ergodic distribution of the process for quite large values of the parameter tends to the uniform distribution on the interval [s, S], and the rate of convergence is estimated. Refs: 14 titles.

Keywords: (s,S ) inventory model, ergodic distribution, asymptotic expansion, convergence rate.

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