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Optimal maintenance and replacement of extraction machinery |
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| Authors: | Suresh P. Sethi Hong-Mo Yeh Rong Zhang Andrew K.S. Jardine |
| Affiliation: | 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 Industrial Engineering,University of Toronto,Canada |
| Abstract: | 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. |
| Keywords: | Maintenance and replacement optimal control the maximum principle extraction machinery exhaustible resource |
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