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Advancing Parametric Optimization: On Multiparametri
US $38.99
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A book in excellent condition. Cover is shiny and undamaged, and the dust jacket is included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear.
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eBay item number:376296557323
Item specifics
- Condition
- EAN
- 9783030618209
- ISBN
- 9783030618209
- Book Title
- Advancing Parametric Optimization: On Multiparamet
- UPC
- 9783030618209
- MPN
- N/A
- Level
- Advanced
About this product
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
303061820X
ISBN-13
9783030618209
eBay Product ID (ePID)
22050396357
Product Key Features
Number of Pages
Xii, 113 Pages
Publication Name
Advancing Parametric Optimization : On Multiparametric Linear Complementarity Problems with Parameters in General Locations
Language
English
Publication Year
2021
Subject
Geometry / Algebraic, Optimization
Type
Textbook
Subject Area
Mathematics
Series
Springerbriefs in Optimization Ser.
Format
Trade Paperback
Dimensions
Item Weight
16 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
1. Introduction.- 2. Background on mpLCP.- 3. Algebraic Properties of Invariancy Regions.- 4. Phase 2: Partitioning the Parameter Space.- 5. Phase 1: Determining an Initial Feasible Solution.- 6. Further Considerations.- 7. Assessment of Performance.- 8. Conclusion.- Appendix A. Tableaux for Example 2.1.- Appendix B. Tableaux for Example 2.2.- References.
Synopsis
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
LC Classification Number
QA402.5-402.6
Item description from the seller
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