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Title
Semi-infinite fractional programming / Ram U. Verma.
ISBN
9789811062568 (electronic book)
9811062560 (electronic book)
9789811062551
9811062552
Published
Singapore : Springer, [2017]
Language
English
Description
1 online resource.
Item Number
10.1007/978-981-10-6256-8 doi
Call Number
QA402.5
Dewey Decimal Classification
519.7
Summary
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.-- Provided by publisher.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Online resource; title from PDF title page (viewed October 30, 2017).
Series
Infosys Science Foundation series. Infosys Science Foundation series in mathematical sciences.
Available in Other Form
Print version: 9811062552
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.
