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Single-Machine Scheduling with Upper Bounded Maintenance Time under the Deteriorating Effect
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-09
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We consider a single-machine scheduling problem with upper bounded actual processing time and upper bounded maintenance time under deteriorating effect.
The actual processing time of a job is a position-dependent power function.
If the actual processing time of a job exceeds the upper bound, tardiness penalty of the job should be paid.
And if the maintenance time exceeds the corresponding upper bound, tardiness penalty of the maintenance should also be paid.
The maintenance duration studied in the paper is a position-dependent exponential function.
The objective is to find jointly the optimal maintenance frequency and the optimal job sequence to minimize the total cost, which is a linear function of the makespan and the total tardiness.
We show that the studied scheduling problem can be transformed as a classic assignment problem to solve.
There is also shown that a special case of the scheduling problem can be optimally solved by a lower order algorithm.
American Psychological Association (APA)
Xue, Pengfei& Zhang, Yulin. 2013. Single-Machine Scheduling with Upper Bounded Maintenance Time under the Deteriorating Effect. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-496232
Modern Language Association (MLA)
Xue, Pengfei& Zhang, Yulin. Single-Machine Scheduling with Upper Bounded Maintenance Time under the Deteriorating Effect. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-496232
American Medical Association (AMA)
Xue, Pengfei& Zhang, Yulin. Single-Machine Scheduling with Upper Bounded Maintenance Time under the Deteriorating Effect. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-496232
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496232