Two Parallel-Machine Scheduling Problems with Function Constraint
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-18
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The objective of this paper is to minimize both the makespan and the total completion time.
Since parallel-machine scheduling which contains the function constraint problem has been a new issue, this paper explored two parallel-machine scheduling problems with function constraint, which refers to the situation that the two machines have a same function but one of the machines has another.
We pointed out that the function constraint occurs not only in the manufacturing system but also in the service system.
For the makespan problem, we demonstrated that it is NP-hard in the ordinary sense.
In addition, we presented a polynomial time heuristic for this problem and have proved its worst-case ratio is not greater than 5/4.
Furthermore, we simulated the performance of the algorithm through computational testing.
The overall mean percent error of the heuristic is 0.0565%.
The results revealed that the proposed algorithm is quite efficient.
For the total completion time problem, we have proved that it can be solved in On4 time.
American Psychological Association (APA)
Hsu, Chia-Lun& Liao, Jan-Ray. 2020. Two Parallel-Machine Scheduling Problems with Function Constraint. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1152906
Modern Language Association (MLA)
Hsu, Chia-Lun& Liao, Jan-Ray. Two Parallel-Machine Scheduling Problems with Function Constraint. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1152906
American Medical Association (AMA)
Hsu, Chia-Lun& Liao, Jan-Ray. Two Parallel-Machine Scheduling Problems with Function Constraint. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1152906
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152906