On the performance of the M1,M2/G1,G2/1 retrial queue with pre-emptive resume policy

Abstract

Priority mechanism is an invaluable scheduling method that allows customers to receive different quality of service. Service priority is clearly today a main feature of the operation of any manufacturing system. We are interested by an M1,M2/G1,G2/1 priority retrial queue with pre-emptive resume policy. For model in question, we discuss the problem of ergodicity and, by using the method of supplementary variables, find the partial generating functions of the steady state system state distribution. Moreover, some pertinent performance measures are obtained and numerical study is also performed.

Keywords

• retrial queue
• pre-emptive resume policy
• steady-state distribution
• performance measure
• priority customer