Jointly optimal allocation of a repairman and optimal control of service rate for machine repairman problem

Esther Frostig

doi:10.1016/S0377-2217(98)00032-0

Jointly optimal allocation of a repairman and optimal control of service rate for machine repairman problem

Esther Frostig

Department of Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

Consider a production system with m unreliable machines, which are maintained by a single repairman. The time until failure of machine i and its repair time are exponentially distributed random variables with rates λ_i and μ, respectively. Machine i earns at rate r_i while it is working. The service rate can be controlled, and a cost c(μ) is charged when the service rate is μ. We assume the following compatibility condition: λ_i < λ_j implies that r_i ≥ r_j. We consider both the optimal assignment of the repairman to the failed machines, and the optimal service rate. We demonstrate some monotone properties of the optimal policy.

Original language	English
Pages (from-to)	274-280
Number of pages	7
Journal	European Journal of Operational Research
Volume	116
Issue number	2
DOIs	https://doi.org/10.1016/S0377-2217(98)00032-0
State	Published - 16 Jul 1999

ASJC Scopus subject areas

General Computer Science
Modeling and Simulation
Management Science and Operations Research
Information Systems and Management

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10.1016/S0377-2217(98)00032-0

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abstract = "Consider a production system with m unreliable machines, which are maintained by a single repairman. The time until failure of machine i and its repair time are exponentially distributed random variables with rates λi and μ, respectively. Machine i earns at rate ri while it is working. The service rate can be controlled, and a cost c(μ) is charged when the service rate is μ. We assume the following compatibility condition: λi < λj implies that ri ≥ rj. We consider both the optimal assignment of the repairman to the failed machines, and the optimal service rate. We demonstrate some monotone properties of the optimal policy.",

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N2 - Consider a production system with m unreliable machines, which are maintained by a single repairman. The time until failure of machine i and its repair time are exponentially distributed random variables with rates λi and μ, respectively. Machine i earns at rate ri while it is working. The service rate can be controlled, and a cost c(μ) is charged when the service rate is μ. We assume the following compatibility condition: λi < λj implies that ri ≥ rj. We consider both the optimal assignment of the repairman to the failed machines, and the optimal service rate. We demonstrate some monotone properties of the optimal policy.

AB - Consider a production system with m unreliable machines, which are maintained by a single repairman. The time until failure of machine i and its repair time are exponentially distributed random variables with rates λi and μ, respectively. Machine i earns at rate ri while it is working. The service rate can be controlled, and a cost c(μ) is charged when the service rate is μ. We assume the following compatibility condition: λi < λj implies that ri ≥ rj. We consider both the optimal assignment of the repairman to the failed machines, and the optimal service rate. We demonstrate some monotone properties of the optimal policy.

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DO - 10.1016/S0377-2217(98)00032-0

M3 - Article

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JO - European Journal of Operational Research

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ER -

Jointly optimal allocation of a repairman and optimal control of service rate for machine repairman problem

Abstract

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