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ESA
1999
Springer
148views Algorithms» more  ESA 1999»
13 years 11 months ago
Approximation Schemes for Scheduling on Uniformly Related and Identical Parallel Machines
We give a polynomial approximation scheme for the problem of scheduling on uniformly related parallel machines for a large class of objective functions that depend only on the mac...
Leah Epstein, Jiri Sgall
EUROPAR
2008
Springer
13 years 8 months ago
Bi-objective Approximation Scheme for Makespan and Reliability Optimization on Uniform Parallel Machines
We study the problem of scheduling independent tasks on a set of related processors which have a probability of failure governed by an exponential law. We are interested in the bi-...
Emmanuel Jeannot, Erik Saule, Denis Trystram
MOR
2000
90views more  MOR 2000»
13 years 6 months ago
A PTAS for Minimizing the Total Weighted Completion Time on Identical Parallel Machines
We consider the problem of scheduling a set of n jobs on m identical parallel machines so as to minimize the weighted sum of job completion times. This problem is NP-hard in the s...
Martin Skutella, Gerhard J. Woeginger
ESA
2000
Springer
141views Algorithms» more  ESA 2000»
13 years 10 months ago
Preemptive Scheduling with Rejection
We consider the problem of preemptively scheduling a set of n jobs on m (identical, uniformly related, or unrelated) parallel machines. The scheduler may reject a subset of the job...
Han Hoogeveen, Martin Skutella, Gerhard J. Woeging...
ICALP
2000
Springer
13 years 10 months ago
Parallel Machine Scheduling Problems with Controllable Processing Times
We consider the problem of scheduling n independent jobs on m identical machines that operate in parallel. Each job has a controllable processing time. The fact that the jobs have...
Klaus Jansen, Monaldo Mastrolilli