研究了由一个修理工、两同型部件组成的冷贮备可修系统,在故障部件不能“修复如新”的条件下,分别选择系统中部件1的故障次数N和总工作时间T为更换策略,利用更新过程和几何过程理论,选择最优的策略N^*和T^*,使得系统经长期运行单位时间内平均停机时间最短,并推导出了系统经长期运行单位时间内平均停机时间的表达式。最后,通过数值例子对所得结果进行了分析。
A cold standby repairable system consisting of two-identical components and one repairman is studied. Assuming that any component after repairing is not "as good as new", two kinds of replacement policies of the system are considered based on the failure number N and the working age T for the component 1. By theories of renewal process and geometric process, the optimal policies N^* and T^* are decided so that the long-run expected downtime per unit time on each replacement policy is minimal. The explicit expressions of the long-run expected downtime per unit time on each replacement policy are derived. Finally, results are analyzed by a numerical example.