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An approximation algorithm for parallel machine scheduling with simple linear deterioration

An approximation algorithm for parallel machine scheduling with simple linear deterioration
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摘要 In this paper, a parallel machine scheduling problem was considered , where the processing time of a job is a simple linear function of its starting time. The objective is to minimize makespan. A fully polynomial time approximation scheme for the problem of scheduling n deteriorating jobs on two identical machines was worked out. Furthermore, the result was generalized to the case of a fixed number of machines. In this paper, a parallel machine scheduling problem was considered , where the processing time of a job is a simple linear function of its starting time. The objective is to minimize makespan. A fully polynomial time approximation scheme for the problem of scheduling n deteriorating jobs on two identical machines was worked out. Furthermore, the result was generalized to the case of a fixed number of machines.
出处 《Journal of Shanghai University(English Edition)》 CAS 2007年第4期351-354,共4页 上海大学学报(英文版)
基金 supported by the National Natural Science Foundation of China (Grant No.10101010)
关键词 deteriorating jobs fully polynomial approximation scheme parallel machines scheduling deteriorating jobs, fully polynomial approximation scheme, parallel machines scheduling
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参考文献11

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