A unified cost function for M/G/1 queueing systems with removable server

Resumen

This article deals with the three classic policies for an M/G/1 queueing system (N, T, and D-policy). The optimum policies were compared in several precedent studies, but the comparison was performed employing different cost functions, so that the D-policy is superior to the N-policy when the cost function is based on the mean work-load, whilst the average queue length is used to show the superiority of the N-policy over the T-policy. In order to achieve a comparison of the three policies under a unified criterion we will compare the three policies twice employing both cost functions. We will conclude that the T-policy is the worst policy under both cost structures and the relation between the optimum N and D policies depends on the employed cost function.