Bul. Acad. Ştiinţe Repub. Mold. Mat., 2012, Number 1, Pages 70–80
Matrix algorithm for Polling models with PH distribution
Gheorghe Mishkoyab, Udo R. Kriegerc, Diana Bejenarib
a Institute of Mathematics and Computer Science, Chişinău, Moldova
b Free International University of Moldova, Chişinău, Moldova
c Otto Friedrich University, Bamberg, Germany
Polling systems provide performance evaluation criteria for a variety of demand-based, multiple-access schemes in computer and communication systems . 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 . In  it is showed that analytical results for $k$-busy period can be viewed as the generalization of classical Kendall functional equation . 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.
PDF file (124 kB)
MSC: 34C05, 58F14
Gheorghe Mishkoy, Udo R. Krieger, Diana Bejenari, “Matrix algorithm for Polling models with PH distribution”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2012, no. 1, 70–80
Citation in format AMSBIB
\by Gheorghe Mishkoy, Udo R. Krieger, Diana Bejenari
\paper Matrix algorithm for Polling models with PH distribution
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
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