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Nested Partitions Method, Theory and Applications ebook

Nested Partitions Method, Theory and Applications ebook

Nested Partitions Method, Theory and Applications by Sigurdur Lafsson

Nested Partitions Method, Theory and Applications
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Author: Sigurdur Lafsson
Number of Pages: 270 pages
Published Date: 24 Nov 2010
Publisher: Springer-Verlag New York Inc.
Publication Country: New York, NY, United States
Language: English
Format: eBook
ISBN: 9781441944207
File size: 46 Mb
Download Link: Nested Partitions Method, Theory and Applications
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Thesubjectofthisbookisthenested partitions method(NP),arelativelynew optimization method that has been found to be very e?ective solving discrete optimization problems. Such discrete problems are common in many practical applications and the NP method is thus useful in diverse application areas. It can be applied to both operational and planning problems and has been demonstrated to e?ectively solve complex problems in both manufacturing and service industries. To illustrate its broad applicability and e?ectiveness, in this book we will show how the NP method has been successful in solving complex problems in planning and scheduling, logistics and transportation, supply chain design, data mining, and health care. All of these diverse app- cationshaveonecharacteristicincommon:theyallleadtocomplexlarge-scale discreteoptimizationproblemsthatareintractableusingtraditionaloptimi- tion methods. 1.1 Large-Scale Optimization IndevelopingtheNPmethodwewillconsideroptimization problemsthatcan be stated mathematically in the following generic form: minf(x), (1.1) x?X where the solution space or feasible region X is either a discrete or bounded ? set of feasible solutions. We denote a solution to this problem x and the ? ? objective function value f = f (x ).

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