DocumentCode
2558275
Title
Optimal control of M/M/1 queueing system with constant retrial rate and non-reliable removable server
Author
Efrosinin, Dmitry ; Semenova, Olga
Author_Institution
Dept. of Prob. Theor. & Math. Stat., Peoples´´ Friendship Univ. of Russia, Moscow, Russia
fYear
2009
fDate
12-14 Oct. 2009
Firstpage
1
Lastpage
6
Abstract
The paper is concerned with the optimal control with respect to N-policy of the M/M/1 queue with constant retrial rate and non-reliable removable server. According to the N-policy, the server can start service only when the number of customers in the system reaches level N (N ¿ 1). We perform a steady-state analysis of the corresponding continuous-time Markov chain and calculate optimal threshold level to minimize the long-run average losses given cost structure.
Keywords
Markov processes; network servers; optimal control; queueing theory; M/M/1 queueing; N-policy; continuous-time Markov chain; nonreliability; optimal control; removable server; retrial queue; steady-state analysis; Cost function; Electric breakdown; Network servers; Optimal control; Paper technology; Performance analysis; Queueing analysis; Statistics; Steady-state; Switches;
fLanguage
English
Publisher
ieee
Conference_Titel
Ultra Modern Telecommunications & Workshops, 2009. ICUMT '09. International Conference on
Conference_Location
St. Petersburg
Print_ISBN
978-1-4244-3942-3
Electronic_ISBN
978-1-4244-3941-6
Type
conf
DOI
10.1109/ICUMT.2009.5345415
Filename
5345415
Link To Document