Single-machine scheduling with deteriorating jobs under a series-parallel graph constraint
Computers and Operations Research
Some scheduling problems with sum-of-processing-times-based and job-position-based learning effects
Information Sciences: an International Journal
Computers & Mathematics with Applications
Single-machine group scheduling problems under the effects of deterioration and learning
Computers and Industrial Engineering
Computers and Operations Research
Single-machine scheduling jobs with exponential learning functions
Computers and Industrial Engineering
Single-machine group scheduling with both learning effects and deteriorating jobs
Computers and Industrial Engineering
Computers and Industrial Engineering
Deteriorating job scheduling to minimize the number of late jobs with setup times
Computers and Industrial Engineering
Computers and Industrial Engineering
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In this paper we consider the single machine scheduling problems with time-dependent deterioration and exponential learning effect, i.e., the actual processing time of a job depends not only on the processing times of the jobs already processed but also on its scheduled position. We consider the following objective functions: the makespan, the sum of the @dth (@d=0) power of job completion times, the total weighted completion time and the maximum lateness. We show that the makespan minimization problem, the sum of the @dth power of job completion times minimization problem can be solved by the smallest (normal) processing time first (SPT) rule, respectively. We also show that the total weighted completion time minimization problem and the maximum lateness minimization problem can be solved in polynomial time under certain conditions.