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ESA
1999
Springer
148views Algorithms» more  ESA 1999»
13 years 8 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 6 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 4 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 8 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 8 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