Discrete gamma approximation in retrial queue MMPP/M/1 based on moments calculation

In the paper, the retrial queueing system of MMPP/M/1 type is considered. The process of the number of calls in the system is analyzed. The method for the approximate calculation of the first and the second moments is suggested. We propose the method of the discrete gamma approximation based on obtained moments. The numerical analysis of the obtained results for different values of the system parameters is provided. Comparison of the distributions obtained by simulation and the approximate ones is presented. © 2017, Springer International Publishing AG.

Authors
Fedorova E. 1, 2 , Nazarov A. 1, 2 , Paul S. 1
Journal
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Language
English
Pages
121-131
State
Published
DOI
10.1007/978-3-319-71504-9_12
Volume
10684 LNCS
Year
2017
Organizations
  • 1 Tomsk State University, 36 Lenina ave., Tomsk, 634050, Russian Federation
  • 2 Peoples’ Friendship University of Russia, 6 Miklukho-Maklaya st., Moscow, 117198, Russian Federation
Keywords
Calculation of moments; Discrete gamma distribution; MMPP; Retrial queueing system
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