M/G/1 Retrial Queues With Repairable Server

Retrial queueing system is an important emerging research in queueing system in recent years. Reliability indices are a complicated problem.Retrial and reairable queue that Retrial and repairable time are general distribution are both researched in this paper. We can get retrial time governed by exponential distribution, Erlang distribution or hyperexponential distribution etc.Firstly, an M/G/1 Retrial Queue System with Non-preemptive Priority and Server Breakdowns. The queue and the main reliability indices of server are also derived. The necessary and sufficient condition for the system stability is obtained, and it is proved strictly.Secondly, an M/G/1 retrial and single vacation queue system with exhaustive service is studied on the basis of previous paper.thirdly, an M/G/1 retrial and repairable queue system with single vacation and exhaustive service is studied in order to improving the use rate of resource.Finally, an M/G/l Retrial Queue System with Bernoulli Vacation and Server Breakdowns is investigated. We derived analytical results for the queue length distribution in the system and orbit as well as some performance measures under steady state condition.