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Nested Partitions Method, Theory and Applications

Nested Partitions Method, Theory and Applications

Hardcover

Series: International Operations Research & Management Science, Book 109

Business GeneralGeneral Mathematics

ISBN10: 0387719083
ISBN13: 9780387719085
Publisher: Springer Nature
Published: Nov 14 2008
Pages: 260
Weight: 1.23
Height: 0.63 Width: 6.14 Depth: 9.21
Language: English
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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Business General