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» Santa Claus Schedules Jobs on Unrelated Machines
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CORR
2010
Springer
133views Education» more  CORR 2010»
13 years 11 months ago
Santa Claus Schedules Jobs on Unrelated Machines
One of the classic results in scheduling theory is the 2-approximation algorithm by Lenstra, Shmoys, and Tardos for the problem of scheduling jobs to minimize makespan on unrelate...
Ola Svensson
APPROX
2008
Springer
107views Algorithms» more  APPROX 2008»
14 years 26 days ago
A General Framework for Designing Approximation Schemes for Combinatorial Optimization Problems with Many Objectives Combined in
Abstract. In this paper, we propose a general framework for designing fully polynomial time approximation schemes for combinatorial optimization problems, in which more than one ob...
Shashi Mittal, Andreas S. Schulz
SIAMDM
2002
124views more  SIAMDM 2002»
13 years 10 months ago
Scheduling Unrelated Machines by Randomized Rounding
We present a new class of randomized approximation algorithms for unrelated parallel machine scheduling problems with the average weighted completion time objective. The key idea i...
Andreas S. Schulz, Martin Skutella
ESA
2000
Springer
141views Algorithms» more  ESA 2000»
14 years 2 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...
COR
2011
13 years 5 months ago
Size-reduction heuristics for the unrelated parallel machines scheduling problem
In this paper we study the unrelated parallel machines problem where n independent jobs must be assigned to one out of m parallel machines and the processing time of each job diļ¬...
Luis Fanjul-Peyro, Rubén Ruiz