机器看管问题中维修人数的最优配置

The Optimum Assignment of the Number of Repairmen in the Problem of Machine Maintenance

在随机服务系统理论中 ,有一个著名的机器看管问题。尽管其数学模型已经建立 ,但表达式过于复杂 ,无法求出最优维修工人数的解析解。本文利用计算机技术 ,研究求解机器看管问题中维修工人数的最优配置问题 ,导出了计算最优值的拟合公式。利用该式 ,可查找出相应的维修工人的最优配置数。

In the theory of stochastic service system, there is a famous problem of machine maintenance. Although the related mathematic model was set up, the analytic solution of the optimum number of repairmen has not been solved yet for the expression of the solution is too complicated. The paper studies to solve the problem of the optimum number of repairmen in machine maintenance by computer technique and gets the fitted formulae for calculating the optimum number. We can find out the optimum number of repairmen in machine maintenance by using the formulae.