Machine Scheduling to Minimize Weighted Completion Times The Use of the α-point /

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 algorith...

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Hlavní autor: Gusmeroli, Nicoló (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:SpringerBriefs in Mathematics,
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ISBN:9783319775289
ISSN:2191-8198
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100 1 |a Gusmeroli, Nicoló.  |4 aut 
245 1 0 |a Machine Scheduling to Minimize Weighted Completion Times  |h [electronic resource] :  |b The Use of the α-point /  |c by Nicoló Gusmeroli. 
250 |a 1st ed. 2018. 
260 1 |a Cham :  |b Springer International Publishing,  |c 2018. 
300 |a XI, 53 p. 2 illus. in color.  |b online resource. 
490 1 |a SpringerBriefs in Mathematics,  |x 2191-8198 
500 |a Mathematics and Statistics  
505 0 |a 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 Approximations for 1| rj | ∑ Cj -- 7 Approximation for 1| rj, prec | ∑ wj Cj -- 8 Approximation for P | r j | ∑ Cj -- 9 Approximation for P | dij | ∑ wj Cj -- 10 Conclusions. 
516 |a text file PDF 
520 |a 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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650 0 |a Engineering mathematics. 
650 0 |a Algorithms. 
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650 0 |a Discrete mathematics. 
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