A geometric process model for M/M/1 queueing system with a repairable service station |
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| Institution: | 1. Northeastern University at Qinhuangdao, Qinhuangdao 066004, China;2. Department of Statistics and Actuarial Science, The University of Hong Kong, Pokfulam Road, Hong Kong;3. Department of Mathematics, Southeast University, Nanjing 210018, China;1. Budapest University of Technology and Economics, Department of Networked Systems and Services, Budapest, Hungary;2. MTA-BME Information Systems Research Group, Budapest, Hungary |
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| Abstract: | 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 N1 for minimizing the long-run average cost per unit time for the service station is then determined. |
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