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Parallel-Machine Scheduling with Time-Dependent and Machine Availability Constraints
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-27
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We consider the parallel-machine scheduling problem in which the machines have availability constraints and the processing time of each job is simple linear increasing function of its starting times.
For the makespan minimization problem, which is NP-hard in the strong sense, we discuss the Longest Deteriorating Rate algorithm and List Scheduling algorithm; we also provide a lower bound of any optimal schedule.
For the total completion time minimization problem, we analyze the strong NP-hardness, and we present a dynamic programming algorithm and a fully polynomial time approximation scheme for the two-machine problem.
Furthermore, we extended the dynamic programming algorithm to the total weighted completion time minimization problem.
American Psychological Association (APA)
Miao, Cuixia& Zou, Juan. 2015. Parallel-Machine Scheduling with Time-Dependent and Machine Availability Constraints. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1075179
Modern Language Association (MLA)
Miao, Cuixia& Zou, Juan. Parallel-Machine Scheduling with Time-Dependent and Machine Availability Constraints. Mathematical Problems in Engineering No. 2015 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1075179
American Medical Association (AMA)
Miao, Cuixia& Zou, Juan. Parallel-Machine Scheduling with Time-Dependent and Machine Availability Constraints. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1075179
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1075179