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Operations Research Transactions >

2016 , Vol. 20 >Issue 4: 61 - 68

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2016.04.007

Scheduling with simple deterioration and past-sequence-dependent delivery times

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  • 1. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China

Received date: 2016-02-28

  Online published: 2016-12-15

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Abstract

In this paper, the single-machine scheduling problem with simple deterioration and past-sequence-dependent (p-s-d) job delivery times is considered, in which the processing time of each job is a simple linear increasing function of its starting time. When the machine can process only one job at a time, firstly, the makespan, the total (weighted) completion time and the total lateness minimization problems are solvable in polynomial, the EDD rule is not an optimal solution to the maximum lateness minimization problem, and an optimal solution to the case where jobs have agreeable due dates and deteriorating rates is proposed. When the machine can process up to $b$ jobs simultaneously as a batch, i.e., the parallel-batch scheduling problems, two polynomial time optimal algorithms for the makespan minimization problem and the total weighted completion time minimization problem are presented, respectively.

Key words： scheduling; parallel-batch; deterioration; past-sequence-dependent delivery times

Cite this article

MIAO Cuixia, ZOU Juan . Scheduling with simple deterioration and past-sequence-dependent delivery times[J]. Operations Research Transactions, 2016 , 20(4) : 61 -68 . DOI: 10.15960/j.cnki.issn.1007-6093.2016.04.007

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