The M/M/1 repairable queueing system with variable breakdown rates

2009 ◽  
Author(s):  
Jing-bo Li ◽  
De-quan Yue ◽  
Sheng-li Lv
Keyword(s):  
Queueing System ◽  
Breakdown Rates ◽  
Repairable Queueing System

scholarly journals The M/M/NRepairable Queueing System with Variable Breakdown Rates

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Shengli Lv ◽  
Jingbo Li
Keyword(s):  
Steady State ◽  
Queueing System ◽  
Probability Generating Function ◽  
Idle Time ◽  
Transform Method ◽  
Busy Time ◽  
Breakdown Rates ◽  
The Mean ◽  
System States ◽  
Steady State Probabilities

This paper considers the M/M/Nrepairable queuing system. The customers' arrival is a Poisson process. The servers are subject to breakdown according to Poisson processes with different rates in idle time and busy time, respectively. The breakdown servers are repaired by repairmen, and the repair time is an exponential distribution. Using probability generating function and transform method, we obtain the steady-state probabilities of the system states, the steady-state availability of the servers, and the mean queueing length of the model.

Sign in / Sign up

Export Citation Format

Share Document