OPTIMAL MAINTENANCE AND REPLACEMENT OF EXTRACTION MACHINERY

作     者：Suresh P. SETHI Hong-Mo YEH Rong ZHANG Andrew K.S. JARDINE 

作者机构：School of Management the University of Texas at Dallas USA Department of Information Management Fu Jen Catholic University Taiwan China College of Economics and Business Administration Chongqing University Chongqing China Department of Mechanical and lndustrial Engineering University of Toronto Canada 

出 版 物：《Journal of Systems Science and Systems Engineering》 (系统科学与系统工程学报（英文版）)

年 卷 期：2008年第17卷第4期

页      面：416-431页

核心收录：

学科分类：0810[工学-信息与通信工程] 1205[管理学-图书情报与档案管理] 07[理学] 070104[理学-应用数学] 0802[工学-机械工程] 0811[工学-控制科学与工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：sponsored by NSERC and NSFC under Grant No.70771118 and 70371030 

主　　题：Maintenance and replacement optimal control the maximum principle extraction machinery exhaustible resource 

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.