Title :
The M/M/1 repairable queueing system with variable breakdown rates
Author :
Lv Sheng-li ; Jing-bo, Li ; Yue De-quan
Author_Institution :
Coll. of Sci., Yanshan Univ., Qinhuangdao, China
Abstract :
This paper considers the M/M/1 queueing system with service interruptions. The service station may breakdown, and the breakdown rate is changeable. A repairman maintains the service station. Using the transform method and generating function, we obtain the steady-state availability and mean queueing length of the system.
Keywords :
queueing theory; M/M/1 repairable queueing system; generating function; service interruptions; steady-state availability; system mean queueing length; transform method; variable breakdown rates; Availability; Educational institutions; Electric breakdown; Equations; Maintenance; Mathematics; Queueing analysis; Reliability theory; Steady-state; Tires; Availability; Generating Function; Queueing Length; Repairable System;
Conference_Titel :
Control and Decision Conference, 2009. CCDC '09. Chinese
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-2722-2
Electronic_ISBN :
978-1-4244-2723-9
DOI :
10.1109/CCDC.2009.5194959