Stochastic Machine Scheduling with Precedence Constraints

We consider parallel, identical machine scheduling problems, where the jobs are subject to precedence constraints and release dates, and where the processing times of jobs are governed by independent probability distributions. Our objective is to minimize the expected value of the total weighted com...

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Bibliographic Details
Published in:	SIAM journal on computing Vol. 34; no. 4; pp. 788 - 802
Main Authors:	Skutella, Martin, Uetz, Marc
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2005
Subjects:	Algorithmics. Computability. Computer arithmetics Algorithms Applied sciences Approximation Computer science; control theory; systems Computer systems performance. Reliability Exact sciences and technology Expected values Job shops Linear programming Mathematical programming Operational research and scientific management Operational research. Management science R&D Random variables Release dates Research & development Schedules Scheduling Scheduling, sequencing Software Theoretical computing precedence constraints 68Q25 68W40 LP relaxation Parallel machines Linear programming Processing time Stochastic scheduling Probability distribution Scheduling list scheduling algorithms 68W25 90C05 approximation algorithms Approximation algorithm Precedence constraint Delay 90B36 release dates Distribution function LP-relaxation 68M20
ISSN:	0097-5397, 1095-7111
Online Access:	Get full text
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