基于定期检修α-幂过程可修系统更换模型

摘要

研究一种定期检修α-幂过程维修更换模型.系统在每个周期的检修时间逐渐增加,且检修“修复如旧”以及故障维修“修复如新”假设情况下,建立了以系统的修理次数N为更换策略的数学模型.利用更新理论和α-幂过程理论,给出了系统经长期运行单位时间内的期望效益的表达式,并数值模拟得到了系统的最优更换策略N*.%A new regular overhauling a-power process maintenance model was studied. It was assumed that the overhauling time increased in neighboring cycle, and the random overhauling was "as good as old" and the failure repair was not " as good as new". The replacement policy N based on repair number was considered. By using renewal and α-power process theory, an explicit expression of the long-run expected profit per unit time was derived. The optimum replacement policy N * could be obtained by a numerical simulation example.