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ESA
2001
Springer
145views Algorithms» more  ESA 2001»
14 years 3 months ago
Grouping Techniques for Scheduling Problems: Simpler and Faster
In this paper we describe a general grouping technique to devise faster and simpler approximation schemes for several scheduling problems. We illustrate the technique on two diff...
Aleksei V. Fishkin, Klaus Jansen, Monaldo Mastroli...
SODA
1997
ACM
111views Algorithms» more  SODA 1997»
14 years 6 days ago
Approximation Schemes for Scheduling
We discuss scheduling problems with m identical machines and n jobs where each job has to be assigned to some machine. The goal is to optimize objective functions that solely depe...
Noga Alon, Yossi Azar, Gerhard J. Woeginger, Tal Y...
MOR
2000
90views more  MOR 2000»
13 years 10 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
1999
Springer
148views Algorithms» more  ESA 1999»
14 years 3 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
14 years 19 days 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