Title :
Matrix-analytical approach to analysis of a single-server retrial queue with non-reliable removable server
Author :
Efrosinin, Dmitry ; Semenova, Olga
Author_Institution :
Dept. of Prob. Theor. & Math. Stat., Peoples Friendship Univ. of Russia, Moscow, Russia
Abstract :
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.
Keywords :
matrix algebra; queueing theory; matrix analytical approach; nonreliable removable server; server switches; single-server retrial queue; stationary state distribution; Electric breakdown; Equations; Markov processes; Mathematical model; Orbits; Probability; Servers;
Conference_Titel :
Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), 2010 International Congress on
Conference_Location :
Moscow
Print_ISBN :
978-1-4244-7285-7
DOI :
10.1109/ICUMT.2010.5676526
