On Specific Cost Ratio in a Port Modelled as M /G/1 Queue

Abstract

In this paper we deduce related expression for the specific cost ratio concerning the M /G/1 queue using the known general expression for the specific cost ratio and the Pollaczek–Khintchine formula for the M /G/1 queue. Moreover, we also present related numerical and graphical results including the cases concerning the M /M /1 and M / D/1 queues. The deduced formula gives a possibility for comparison of values of specific cost ratio of different M /G/1 type queues. The corresponding optimization is considered in the sense of minimization of values of the appropriate specific cost ratio under some constraints to the values  (the utilization factor). The proposed method is exposed by some numerical experiments.