Retrial Queues With General Retrial Time

Retrial queueing system is an important emerging research in queueing system. Retrial queues with general retrial time are researched in this paper. Through general retrial time distribution, we can get retrial time governed by exponential distribution, Erlang distribution or hyperexponential distribution etc.Firstly, an M/G/1 retrial queue with two-phase service, feedback and preemptive resume discipline is considered. We study feedback and preemptive resume impact to the system. And also get decomposition law for this retrial queueing system.Secondly, an M/G/1 Retrial queue with Feedback, Second Optional service and Bernoulli Vacation is studied. Considering retrial queues with batch arrivals are quite common in telecommunication networks, then we studied the M~X / G/1 Retrial queue with Feedback, Second Optional service and Bernoulli Vacation. But relatively little attention has been paid to this kind of batch arrival retrial queueing model at present.Finally, discrete-time Geo~[X]/G/1 retrial queue with general retrial time is investigated. We derived analytical results for the queue length distribution as well as some performance measures under steady state condition. What is more important, we proved that the m~X / G/1 retrial queue with general retrial times could be approximated by our discrete-time system.