Inhalt des Dokuments
Preprint 536-1996
Combinatorial Optimization & Graph Algorithms group (COGA-Preprints)- Title
- Improved Bounds on Relaxations of a Parallel Machine Scheduling Problem
- Authors
- Cynthia A. Phillips, Andreas S. Schulz, David B. Shmoys, Cliff Stein, and Joel Wein
- Classification
-
not available
- Keywords
-
not available
- Abstract
-
We consider the problem of scheduling n jobs with release dates on m identical parallel machines to minimize the average completion time of the jobs. We prove that the ratio of the average completion time of the optimal nonpreemptive schedule to that of the optimal preemptive schedule is at most 7}{3}, improving a bound of (3- 1}{m}) due to Phillips, Stein and Wein. We then use our technique to give an improved bound on the quality of a linear programming relaxation of the problem considered by Hall, Schulz, Shmoys and Wein.
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- Download as [ps.gz]
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