Advancing Parametric Optimization - On Multiparametric Linear Complementarity Problems with Parameters in General Locations (Paperback, 1st ed. 2021)

The theory presented in this work merges many concepts from mathematical optimization and real algebraic geometry. When unknown or uncertain data in an optimization problem is replaced with parameters, one obtains a multi-parametric optimization problem whose optimal solution comes in the form of a function of the parameters.The theory and methodology presented in this work allows one to solve both Linear Programs and convex Quadratic Programs containing parameters in any location within the problem data as well as multi-objective optimization problems with any number of convex quadratic or linear objectives and linear constraints. Applications of these classes of problems are extremely widespread, ranging from business and economics to chemical and environmental engineering. Prior to this work, no solution procedure existed for these general classes of problems except for the recently proposed algorithms

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	SpringerBriefs in Optimization
Release date:	2021
First published:	2021
Authors:	Nathan Adelgren
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	113
Edition:	1st ed. 2021
ISBN-13:	978-3-03-061820-9
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Optimization > General Promotions
LSN:	3-03-061820-X
Barcode:	9783030618209

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