Minimizing the number of machines for minimum length schedules
In this paper, we present a new objective function for scheduling on parallel machines: minimizing the number of machines for schedules of minimum length. We study its complexity and we prove the NP-completeness of this problem, even if there is no precedences or for unitary execution times. We propose several polynomial algorithms for various particular cases.
| Year of publication: |
2009
|
|---|---|
| Authors: | Finke, Gerd ; Lemaire, Pierre ; Proth, Jean-Marie ; Queyranne, Maurice |
| Published in: |
European Journal of Operational Research. - Elsevier, ISSN 0377-2217. - Vol. 199.2009, 3, p. 702-705
|
| Publisher: |
Elsevier |
| Keywords: | Parallel scheduling Complexity Minimum number of processors |
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