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A two‐machine repair model with variable repair rate
Author(s) -
Van Der Duyn Schouten F. A.,
Wartenhorst P.
Publication year - 1993
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/1520-6750(199306)40:4<495::aid-nav3220400406>3.0.co;2-v
Subject(s) - counterexample , limit (mathematics) , control limits , fixed cost , variable (mathematics) , computer science , reliability engineering , mathematical optimization , control (management) , work (physics) , unit (ring theory) , variable cost , mathematics , control theory (sociology) , economics , engineering , discrete mathematics , operating system , microeconomics , mechanical engineering , mathematics education , process (computing) , control chart , artificial intelligence , mathematical analysis
A two‐unit cold standby production system with one repairman is considered. After inspection of a failed unit the repairman chooses either a slow or a fast repair rate to carry out the corresponding amount of work. At system breakdown the repairman has an additional opportunity to switch to the fast rate. If there are no fixed costs associated with system breakdowns, then the policy which minimizes longrun average costs is shown to be a two‐dimensional control limit rule. If fixed costs are incurred every time the system breaks down, then the optimal policy is not necessarily of control limit type. This is illustrated by a counterexample. Furthermore, we present several performance measures for this maintenance system controlled by a two‐dimensional control limit rule. © 1993 John Wiley & Sons, Inc.