OPTIMAL PREVENTIVE MAINTENANCE, PROTECTION, AND REPLACEMENT OF A REVENUE-EARNING ASSET
OPTIMAL PREVENTIVE MAINTENANCE, PROTECTION, AND REPLACEMENT OF A REVENUE-EARNING ASSET
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DOI：
10.1016/0096-3003(87)90087-7
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发表时间：
1987-12-01
影响因子：
4
通讯作者：
REED, WJ
中科院分区：
文献类型：
--
作者：
REED, WJ
本文讨论了在发生灾难性故障或破坏时，确定创收资产的预防性维修或保护的最佳支出模式的问题。假设任何时候发生故障的可能性取决于资产的年龄和当前的预防支出率。所考虑的目标是使扣除预防和重置费用后的预期收入现值最大化。讨论了三种不同的情况：（a）只有在发生故障时才能赚取收入;（B）故障后自动更换;（c）可以选择定期更换。庞特里亚金最大值原理的使用使得能够确定在所有情况下的最佳预防计划。此外，当周期性更换是可能的，最佳的更换间隔可以确定。需要数值方法来获得解。
The problem of determining the optimal pattern of expenditure on preventive maintenance or protection for a revenue-earning asset subject to catastrophic breakdown or destruction is discussed. It is assumed that the probability of breakdown at any time depends on the age of the asset and on the current rate of prevention expenditure. The objective considered is the maximization of the expected present value of revenues earned net of prevention and replacement costs. Three distinct cases are discussed: (a) when revenue is earned only until breakdown; (b) when there is automatic replacement following a breakdown; and (c) when there is the option of periodic replacement. Use of the Pontryagin maximum principle enables the determination of the optimal prevention schedules in all cases. In addition, when periodic replacement is possible the optimal replacement interval can be determined. Numerical methods are required to obtain solutions.