The Detailed Proof for “A Structural Property of Optimal Policies for Multi-Component Maintenance Problems”
نویسنده
چکیده
In this paper, we identify an error in the proof of Theorem 1 in the paper Xia, L., Zhao, Q., and Jia, Q.S., “A Structure Property of Optimal Policies for Maintenance Problems with Safety-Critical Components”, IEEE Transactions on Automation Science and Engineering, 2008, 5(3): 519-531. Theorem 1 is the most important contribution of the above paper, which shows the optimality of the so-called Shortest-RemainingLifetime-First (SRLF) rule. We first show that the original proof is wrong. And then provide the correct proof for a more general case where there are independent constant component failure and multiple modules. This proof is the detailed version of the proof in Jia, Q.-S., “A Structural Property of Optimal Policies for Multi-Component Maintenance Problems”, submitted to IEEE Transactions on Automation Science and Engineering, 2009.
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