A multi-server queuing model study of specific cost ratio in a port

Abstract

In this paper we establish an analytic method for determining the optimal number of berths in a port with finite waiting areas modelled by M/M/n(b)/k queue in the sense of minimization of the related specific cost ratio. Using the general formula for specific cost ratio, we derive a related expression of the M/M/n(b)/k queue. In particular, we present the optimal intervals for specific cost ratio and optimal number of berths under condition that the number of waiting areas is fixed. Related numerical results and computational experiments are presented.