Paper Info
Title
Retrial queues with server subject to breakdown and repairs
Abstract
In this paper we consider a single server retrial queue where the server is subject to breakdowns and repairs. New customers arrive at the service station according to a Poisson process and demand i.i.d. service times. If the server is idle, the incoming customer starts getting served immediately. If the server is busy, the incoming customer conducts a retrial after an exponential amount of time. The retrial customers behave independently of each other. The server stays up for an exponential time and then fails. Repair times have a general distribution. The failure/repair behavior when the server is idle is different from when it is busy. Two different models are considered. In model I, the failed server cannot be occupied and the customer whose service is interrupted has to either leave the system or rejoin the retrial group. In model II, the customer whose service is interrupted by a failure stays at the server and restarts the service when repair is completed. Model II can be handled as a special case of model I. For model I, we derive the stability condition and study the limiting behavior of the system by using the tools of Markov regenerative processes.
Year
DOI
Venue
1990
10.1007/BF01158474
Queueing Syst.
Keywords
Field
DocType
Retrial queues,imbedded Markov chains,Markov regenerative processes
Exponential function,Idle,Queue,Markov chain,Real-time computing,General distribution,Limiting,Mathematics,Special case,Distributed computing,Retrial queue
Journal
Volume
Issue
Citations 
7
2
36
PageRank 
References 
Authors
2.72
2
2
Name
Order
Citations
PageRank
V. G. Kulkarni120222.29
B. D. Choi27312.12