FURTHER RESEARCH ON THE M/M/1 RETRIAL QUEUEING MODEL WITH SPECIAL RETRIAL TIMES

Further Research on the M/G/1 Retrial Queueing Model with Server Breakdowns

Conditions for stability and instability of retrial queueing systems with general retrial times

We study the stability of single server retrial queues under general distribution for retrial times and stationary ergodic service times, for three main retrial policies studied in the literature: classical linear, constant and control policies. The approach used is the renovating events approach to obtain sufficient stability conditions by strong coupling convergence of the process modeling th...

Retrial Queueing System with Several Input Flows

type i, , K , 1 i = who finds the server free begins to get service inmediately and leaves the system after completion. Otherwise, if the server is busy, the customer with probability 1 Hi leaves the system without service and with probability Hi > 0 joins an orbit of repeated customer but conserves its own type. The intervals separating two succesive repeated attempts of each customers from th...

Ergodicity of the BMAP/PH}/s/s+K retrial queue with PH-retrial times

Abstract Define the traffic intensity as the ratio of the arrival rate to the service rate. This paper shows that the BMAP/PH/s/s+K retrial queue with PH-retrial times is ergodic if and only if its traffic intensity is less than one. The result implies that the BMAP/PH/s/s+K retrial queue with PH-retrial times and the corresponding BMAP/PH/s queue have the same condition for ergodicity, a fact ...

Discrete - Time / / 1 Retrial Queue with General Retrial Times , Working Vacations and Vacation Interruption

Abstract: We consider a discrete-time 1 X Geo G retrial queue with general retrial times, and introduce working vacations and vacation interruption policy into the retrial queue. Firstly, we analyze the stationary condition for the embedded Markov chain at the departure epochs. Secondly, using supplementary variable method, we obtain the stationary probability distribution and some performance ...