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OPTIMAL MAINTENANCE AND REPLACEMENT OF EXTRACTION MACHINERY

ISSN号：1004-3756
期刊名称：《系统科学与系统工程学报：英文版》
时间：0
分类：TP273[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
作者机构：[1]School of Management, the University of Texas at Dallas, USA, [2]Department of Information Management, Fu Jen Catholic University, Taiwan, China, [3]College of Economics and Business Administration, Chongqing University, Chongqing, China, [4]Department of Mechanical and lndustrial Engineering, University of Toronto, Canada
相关基金：This work was sponsored by NSERC and NSFC under Grant No. 70771118 and 70371030.Acknowledgements Work on this problem began during the summer of 2001 when Suresh Sethi was visiting Andrew Jardine in the Department of Industrial Engineering at the University of Toronto. His visit was supported by NSERC Grant. Rong Zhang was a visiting scholar at the University of Texas at Dallas （UTD） from April 2004 to April 2005, and his visit was sponsored by the NSFC and by UTD. Constructive comments from Darko Louit and the referees are gratefully acknowledged.

作者： Suresh P. SETHI[1], Hong-Mo YEH[2], Rong ZHANG[3], Andrew K.S. JARDINE[4]

关键词：维修还原, 优化控制, 最大值原理, 机械, Maintenance and replacement, optimal control, the maximum principle, extraction machinery, exhaustible resource

中文摘要：

这篇论文考虑最佳的预防维护的一个问题和奉献给从已知的存款提取资源的设备的代替时间表。典型例子是油练习，矿铲，等等。至多，在新的存在机械的一代替被允许。这个问题作为一个最佳的控制问题题目被提出到在任何给定的时间的留下的存款是非否定的州的限制。我们证明如果要求，最佳的预防维护，生产率，和存在机械和新机械的代替和抢救时间能被顺序解决一系列 free-end-point 获得最佳的控制问题。而且，一个算法基于这结果被开发并且过去常解决二个解说性的例子。

英文摘要：

This paper considers a problem of optimal preventive maintenance and replacement schedule of equipment devoted to extracting resources from known deposits. Typical examples are oil drills, mine shovels, etc. At most one replacement of the existing machinery by a new one is allowed. The problem is formulated as an optimal control problem subject to the state constraint that the remaining deposit at any given time is nonnegative. We show that the optimal preventive maintenance, production rates, and the replacement and salvage times of the existing machinery and the new one, if required, can be obtained by solving sequentially a series of free-end-point optimal control problems. Moreover, an algorithm based on this result is developed and used to solve two illustrative examples.

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