Machine Scheduling to Minimize Weighted Completion Times

The Use of the α-point

Business & Finance, Management & Leadership, Operations Research, Nonfiction, Science & Nature, Mathematics, Applied
Cover of the book Machine Scheduling to Minimize Weighted Completion Times by Nicoló Gusmeroli, Springer International Publishing
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Author: Nicoló Gusmeroli ISBN: 9783319775289
Publisher: Springer International Publishing Publication: April 30, 2018
Imprint: Springer Language: English
Author: Nicoló Gusmeroli
ISBN: 9783319775289
Publisher: Springer International Publishing
Publication: April 30, 2018
Imprint: Springer
Language: English

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.

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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.

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