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Machine Scheduling to Minimize Weighted Completion Times

The Use of the -point. SpringerBriefs in Mathematics

By (author) Nicolo Gusmeroli
Format: Paperback / softback
Publisher: Springer International Publishing AG, Cham, Switzerland
Published: 14th May 2018
Dimensions: w 156mm h 234mm d 4mm
Weight: 110g
ISBN-10: 3319775278
ISBN-13: 9783319775272
Barcode No: 9783319775272
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Synopsis
This work reviews the most important results regarding the use of the -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 -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.

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"This work provides a detailed survey of the papers published during the past two decades. It is devoted to developing and evaluating the performance of constant-factor approximation algorithms for scheduling problems. ... The author provides examples which illustrate the used concepts and prove the tightness of the obtained theoretical bounds. In conclusion, the author indicates a number of open questions and conjectures." (Svetlana A. Kravchenko, zbMATH 1395.90003, 2018)