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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 job normal processing times.
This paper deals with single-machine scheduling problems with a more general learning effect based on sum-of-process-time. 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 job to normal processing times.