Machine Scheduling to Minimize Weighted Completion Times

The Use of the α-point

Paperback Engels 2018 9783319775272
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Samenvatting

This work reviews the most important results regarding the use of the α-point in Scheduling Theory. It provides a number of different LP-relaxations for scheduling problems and seeks to explain their polyhedral consequences. It also explains the concept of the α-point and how the conversion algorithm works, pointing out the relations to the sum of the weighted completion times. Lastly, the book explores the latest techniques used for many scheduling problems with different constraints, such as release dates, precedences, and parallel machines. This reference book is intended for advanced undergraduate and postgraduate students who are interested in scheduling theory. It is also inspiring for researchers wanting to learn about sophisticated techniques and open problems of the field.

Specificaties

ISBN13:9783319775272
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing

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Inhoudsopgave

1 Introduction.- 2 List of Main Results.- 3 LP Relaxations for the Release Dates Case.- 4 Conversion Algorithm.- 5 Approximations for 1| rj | ∑ wjCj.- 6&nbsp; Approximations for &nbsp;1| rj | ∑ Cj.- 7 Approximation for 1| rj, prec | ∑ wj Cj.- 8 Approximation for P | r j&nbsp;| ∑ Cj.- 9 Approximation for P | dij | ∑ wj Cj.- 10 Conclusions.<p></p>

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        Machine Scheduling to Minimize Weighted Completion Times