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SCHEDULING JOBS WITH GENERAL LEARNING FUNCTIONS 被引量:2

SCHEDULING JOBS WITH GENERAL LEARNING FUNCTIONS
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摘要 This paper deals with single-machine scheduling problems with a more general learning effect based on sum-of-processing-time. In this study, sum-of-processing-time-based learning effect means that the processing time of a job is defined by a decreasing function of the total normal processing time of jobs that come before it in the sequence. Results show that even with the introduction of the sum-of-processing-time-based learning effect to job processing times, single-machine makespan minimization problems remain polynomially solvable. The curves of the optimal schedule of a total completion time minimization problem are V-shaped with respect to iob normal orocessinz times. This paper deals with single-machine scheduling problems with a more general learning effect based on sum-of-processing-time. In this study, sum-of-processing-time-based learning effect means that the processing time of a job is defined by a decreasing function of the total normal processing time of jobs that come before it in the sequence. Results show that even with the introduction of the sum-of-processing-time-based learning effect to job processing times, single-machine makespan minimization problems remain polynomially solvable. The curves of the optimal schedule of a total completion time minimization problem are V-shaped with respect to iob normal orocessinz times.
出处 《Journal of Systems Science and Systems Engineering》 SCIE EI CSCD 2011年第1期119-125,共7页 系统科学与系统工程学报(英文版)
关键词 SCHEDULING single machine learning effect MAKESPAN total completion time Scheduling, single machine, learning effect, makespan, total completion time
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