Due Date Single Machine Scheduling Problems with Nonlinear Deterioration and Learning Effects and Past Sequence Dependent Setup Times

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Tarih

2014

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Yayıncı

Hindawi Ltd

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

We present some problems against due dates with nonlinear learning and deterioration effects and past sequence dependent setup times. In this study, two effects (learning and deterioration) are used for the same processing time. The processing time of a job is shorter if it is scheduled later, rather than in the sequence. This phenomenon is known in the literature as a "learning effect." On the other hand, in many realistic scheduling settings, a job processed later consumes more time than the same job processed earlier-this is known as scheduling with deteriorating jobs. In the past sequence dependent setup times approach, the setup time of a job is proportionate to the sum of processing times of the jobs already scheduled. In this study, we demonstrated that some problems with due dates remain polynomially solvable. However, for some other problems, we concentrated on finding polynomially solves under their special cases.

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Kaynak

Mathematical Problems In Engineering

WoS Q Değeri

Q3

Scopus Q Değeri

Q1

Cilt

2014

Sayı

Künye

Hüseyin Ceylan, "Due Date Single Machine Scheduling Problems with Nonlinear Deterioration and Learning Effects and Past Sequence Dependent Setup Times", Mathematical Problems in Engineering, vol. 2014, Article ID 682738, 7 pages, 2014.