Matrix-analytical approach to analysis of a single-server retrial queue with non-reliable removable server

In the paper, we deal with M/M/1 queue with linear repeated requests and non-reliable removable server. The server switches off each time the system becomes empty and switches on accordingly to an N-policy (when the number of customers in the system reaches level N). The stationary state distribution for the system considered is obtained via the matrix-analytical approach. ©2010 IEEE.

Authors
Efrosinin D. 1 , Semenova O. 2
Conference proceedings
Proceedings of the International Conference on Ultra Modern Telecommunications, ICUMT 2010. Moscow, Russia, 18-20 October, 2010.
Publisher
IEEE
Language
English
Pages
1145-1149
State
Published
DOI
10.1109/ICUMT.2010.5676526
Number
5676526
Year
2010
Organizations
  • 1 Dept. of Prob. Theory and Math. Statistics, Peoples' Friendship University of Russia, Moscow, Russian Federation
  • 2 ZAO R and DC Information and Networking Technologies, Staroalekseevskaja str., 5-215, Moscow, Russian Federation
Keywords
Analytical approach; matrix; N-policy; Removable servers; Retrial queue; Stationary state distributions; Control systems; Time switches
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