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Scheduling a repairman in a finite source system

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Abstract

The scheduling of a single server in a finite source model is considered. TheN customers in the system have different failure and repair rates. Also the costs depend on the customers which are broken down. We give a condition under which the average costs are minimized by a simple list policy, and with a counterexample we show that in the general case no optimal list policy may exist. This motivates us to derive policies which are optimal under low and high traffic conditions. They are again list policies, which behave well numerically.

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Koole, G., Vrijenhoek, M. Scheduling a repairman in a finite source system. Mathematical Methods of Operations Research 44, 333–344 (1996). https://doi.org/10.1007/BF01193935

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