We consider the problem of scheduling n independent jobs on two identical parallel machines, with a limit on the number of jobs that can be assigned to each single machine, so as to minimize the total weighted completion time of the jobs. We study a semideΓΏnite programming-based approximation algori
An approximate algorithm for a high-multiplicity parallel machine scheduling problem
β Scribed by Carlo Filippi
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 382 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0167-6377
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We consider the problem of minimizing the sum of weighted completion times of jobs scheduled on unrelated parallel machines. That is, there are n jobs and m machines; job j takes p GH units of time if processed on machine i and has a weight w H . If C H is the completion time of job j, the objective
The paper considers scheduling problems for parallel dedicated machines subject to resource constraints. A fairly complete computational complexity classiΓΏcation is obtained, a number of polynomial-time algorithms are designed. For the problem with a ΓΏxed number of machines in which a job uses at mo