Analysis of a Machine Repair System with Warm Spares and N-Policy Vacations

نویسندگان

  • Dequan Yue
  • Wuyi Yue
  • Hongjuan Qi
چکیده

In this paper, we analyze a machine repairable system with warm spares and two repairmen. The first repairman never takes vacations. The second repairman leaves for a vacation of random length when the number of the failed units is less than N. At the end of a vacation period, this repairman returns back if there are N or more failed units accumulated in the system. Otherwise this repairman goes for another vacation. The vacation time is exponentially distributed. By using the Markov process theory, we develop the difference equations of the steady-state probabilities and solve the equations iteratively. We present derivations of some queueing and reliability measures. A cost model is developed to determine the optimum N while the system availability is maintained at a certain level. Sensitivity analysis is also investigated.

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تاریخ انتشار 2008