E-Book, Englisch, 291 Seiten, eBook
Verma Semi-Infinite Fractional Programming
1. Auflage 2017
ISBN: 978-981-10-6256-8
Verlag: Springer Singapore
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 291 Seiten, eBook
Reihe: Infosys Science Foundation Series
ISBN: 978-981-10-6256-8
Verlag: Springer Singapore
Format: PDF
Kopierschutz: 1 - PDF Watermark
This book presents a smooth and unified transitional framework from generalised fractional programming, with a finite number of variables and a finite number of constraints, to semi-infinite fractional programming, where a number of variables are finite but with infinite constraints. It focuses on empowering graduate students, faculty and other research enthusiasts to pursue more accelerated research advances with significant interdisciplinary applications without borders. In terms of developing general frameworks for theoretical foundations and real-world applications, it discusses a number of new classes of generalised second-order invex functions and second-order univex functions, new sets of second-order necessary optimality conditions, second-order sufficient optimality conditions, and second-order duality models for establishing numerous duality theorems for discrete minmax (or maxmin) semi-infinite fractional programming problems. In the current interdisciplinary supercomputer-oriented research environment, semi-infinite fractional programming is among the most rapidly expanding research areas in terms of its multi-facet applications empowerment for real-world problems, which may stem from many control problems in robotics, outer approximation in geometry, and portfolio problems in economics, that can be transformed into semi-infinite problems as well as handled by transforming them into semi-infinite fractional programming problems. As a matter of fact, in mathematical optimisation programs, a fractional programming (or program) is a generalisation to linear fractional programming. These problems lay the theoretical foundation that enables us to fully investigate the second-order optimality and duality aspects of our principal fractional programming problem as well as its semi-infinite counterpart.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Higher Order Parametric Optimality Conditions.- Parametric Duality Models.- New Generation Parametric Optimality.- Accelerated Roles for Parametric Optimality.- Semiinfinite Multiobjective Fractional Programming I.- Semiinfinite Multiobjective Fractional Programming II.- Semiinfinite Multiobjective Fractional Programming III.- Hanson-Antczak-type V-invexity I.- Hanson-Antczak-type V-invexity II.- Parameter Optimality in Semiinfinite Fractional Programs.- Semiinfinite Discrete Minmax Fractional Programs.- Next Generation Semiinfinite Discrete Fractional Programs.- Hanson-Antczak-type Sonvexity III.- Semiinfinite Multiobjective Optimization.