Advancing Parametric Optimization

On Multiparametric Linear Complementarity Problems with Parameters in General Locations

Omschrijving

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
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Schrijver
Adelgren, Nathan
Titel
Advancing Parametric Optimization
Uitgever
Springer Nature Switzerland AG
Jaar
2021
Taal
Engels
Pagina's
113
Gewicht
216 gr
EAN
9783030618209
Afmetingen
232 x 155 x 14 mm
Bindwijze
Paperback / softback

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