Premium
Optimal maintenance of a system of machines with weakest‐link‐dependent performance
Author(s) -
Teo K. L.,
Wong K. H.,
Goh C. J.
Publication year - 1989
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660100204
Subject(s) - feature (linguistics) , parametrization (atmospheric modeling) , mathematical optimization , computer science , state (computer science) , control (management) , quality (philosophy) , scheme (mathematics) , mathematics , algorithm , artificial intelligence , mathematical analysis , philosophy , linguistics , physics , epistemology , quantum mechanics , radiative transfer
Abstract This paper considers the maintenance policy of a system of machines whose deterioration is dependent on the machines' quality states and maintenance efforts. The return of the system of machines, however, is dependent only on the machine with the lowest quality state. This becomes a realistic feature when the machines are arranged in series as part of an assembly line production. This feature also gives rise to an unconventional optimization problem with an interesting theoretical challenge. The problem is subsequently formulated as a constrained optimal control problem. It is first shown that the problem admits an optimal control. Then, by using the control parametrization approach, an efficient computational scheme is devised for solving the problem.