A geometric process model for M/M/1 queueing system with a repairable service station

摘要

In this paper, we study a geometric process model for M/M/1 queueing system with a repairable service station. By introducing a supplementary variable, some queueing characteristics of the system and reliability indices of the service station are derived. Then a replacement policy N for the service station by which the service station will be replaced following the Nth failure is applied. An optimal replacement policy N* for minimizing the long-run average cost per unit time for the service station is then determined. (c) 2004 Elsevier B.V. All rights reserved.