Matrix algorithm for Polling models with PH distribution

Gheorghe Mishkoy^ab, Udo R. Krieger^c, Diana Bejenari<sup>b

a</sup> Institute of Mathematics and Computer Science, Chişinău, Moldova
^b Free International University of Moldova, Chişinău, Moldova
^c Otto Friedrich University, Bamberg, Germany

Abstract: Polling systems provide performance evaluation criteria for a variety of demand-based, multiple-access schemes in computer and communication systems [1]. For studying this systems it is necessary to find their important characteristics. One of the important characteristics of these systems is the $k$-busy period [2]. In [3] it is showed that analytical results for $k$-busy period can be viewed as the generalization of classical Kendall functional equation [4]. A matrix algorithm for solving the gene- ralization of classical Kendall functional equation is proposed. Some examples and numerical results are presented.

Keywords and phrases: Polling model, Kendall equation, generalization of classical Kendall functional equation, $k$-busy period, matrix algorithm.

MSC: 34C05, 58F14

Received: 02.11.2011

Language: English

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