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Titlebook: Advancing Parametric Optimization; On Multiparametric L Nathan Adelgren Book 2021 The Editor(s) (if applicable) and The Author(s), under ex

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发表于 2025-3-21 18:39:38 | 显示全部楼层 |阅读模式
期刊全称Advancing Parametric Optimization
期刊简称On Multiparametric L
影响因子2023Nathan Adelgren
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发行地址Theory merges many concepts from mathematical optimization and algebraic geometry.Answers many natural questions that might occur to the reader.Extensive bibliography provides additional topical resou
学科分类SpringerBriefs in Optimization
图书封面Titlebook: Advancing Parametric Optimization; On Multiparametric L Nathan Adelgren Book 2021 The Editor(s) (if applicable) and The Author(s), under ex
影响因子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
Pindex Book 2021
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Further Considerations,specify the methods we employ in order to properly manage these difficulties. We offer examples of instances of the multiparametric Linear Complementarity Problem that motivate the assumptions we presented in the introductory chapter of this work. Additionally, we consider the uniqueness of partitio
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Phase 2: Partitioning the Parameter Space,gions in this partition can be derived from a single full dimensional invariancy region returned from phase one of our method. We note that this discussion precedes that of phase one due to the fact that phase one can be viewed as a special case of phase two.
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Advancing Parametric Optimization978-3-030-61821-6Series ISSN 2190-8354 Series E-ISSN 2191-575X
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Pierre-Antoine Bois,Agnés Kubickigions in this partition can be derived from a single full dimensional invariancy region returned from phase one of our method. We note that this discussion precedes that of phase one due to the fact that phase one can be viewed as a special case of phase two.
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https://doi.org/10.1007/978-3-030-61821-6multiparametric programming; multiparametric linear programming; multiparametric quadratic programming
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https://doi.org/10.1007/978-3-030-43989-7ncy region can be determined by first decomposing the invariancy regions into two specific subsets and then exploiting the structure of these subsets. The culminating theoretical result in this chapter shows that, given a full dimensional invariancy region, all adjacent regions can be computed by co
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