SpringerBriefs in Optimization

Advancing Parametric Optimization

On Multiparametric Linear Complementarity Problems with Parameters in General Locations

Authors: Adelgren, Nathan

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  • 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 resource
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eBook 42,79 €
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  • ISBN 978-3-030-61821-6
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Softcover 49,99 €
price for India (gross)
  • ISBN 978-3-030-61820-9
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  • Covid-19 shipping restrictions & severe weather in the US may cause delays
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About this book

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

About the authors

Nathan Adelgren earned his Ph.D. in Mathematical Sciences from Clemson University in 2016. He is currently an Associate Professor in the Department of Mathematics and Computer Science at Edinboro University in Edinboro, PA. His research interests are in the general field of Operations Research and include developing novel solution procedures for nontraditional optimization problems in the form of multicriteria, multiparametric, and mixed-integer programs as well as various combinations of these.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 42,79 €
price for India (gross)
  • ISBN 978-3-030-61821-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 49,99 €
price for India (gross)
  • ISBN 978-3-030-61820-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Advancing Parametric Optimization
Book Subtitle
On Multiparametric Linear Complementarity Problems with Parameters in General Locations
Authors
Series Title
SpringerBriefs in Optimization
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-61821-6
DOI
10.1007/978-3-030-61821-6
Softcover ISBN
978-3-030-61820-9
Series ISSN
2190-8354
Edition Number
1
Number of Pages
XII, 113
Number of Illustrations
1 b/w illustrations, 7 illustrations in colour
Topics