Retrial Queuing System with Limited Processor Sharing Discipline

Alexander Dudin, Sergei Dudin, Olga Dudina
We consider a retrial queueing system with limited processor sharing discipline. The arrival flow is defined by a Markovian arrival process. The distinguishing feature of the model is that the customers on service can interfere each other and the effective bandwidth of the server decreases with the increase in the number of servicing customers. The process of the system states is defined as level-dependent Markov chain. The generator of this chain is derived. The main performance measures of the system are obtained.