Semi-Infinite Fractional Programming

Business & Finance, Economics, Statistics, Nonfiction, Science & Nature, Mathematics, Applied
Cover of the book Semi-Infinite Fractional Programming by Ram U. Verma, Springer Singapore
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Ram U. Verma ISBN: 9789811062568
Publisher: Springer Singapore Publication: October 24, 2017
Imprint: Springer Language: English
Author: Ram U. Verma
ISBN: 9789811062568
Publisher: Springer Singapore
Publication: October 24, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Singapore

Cover of the book Securing the Belt and Road Initiative by Ram U. Verma
Cover of the book Induction Motor Fault Diagnosis by Ram U. Verma
Cover of the book Fundamental Fluid Mechanics and Magnetohydrodynamics by Ram U. Verma
Cover of the book Recent Developments in Anisotropic Heterogeneous Shell Theory by Ram U. Verma
Cover of the book Task Scheduling for Multi-core and Parallel Architectures by Ram U. Verma
Cover of the book New Perspectives on Aspect and Modality in Chinese Historical Linguistics by Ram U. Verma
Cover of the book Wireless Positioning: Principles and Practice by Ram U. Verma
Cover of the book Labour Market Participation in India by Ram U. Verma
Cover of the book Mineral Exploration: Practical Application by Ram U. Verma
Cover of the book State-Society Relations and Confucian Revivalism in Contemporary China by Ram U. Verma
Cover of the book The Palgrave Handbook of Local Governance in Contemporary China by Ram U. Verma
Cover of the book Operations Research and Optimization by Ram U. Verma
Cover of the book Design of Video Quality Metrics with Multi-Way Data Analysis by Ram U. Verma
Cover of the book Cellular Osmolytes by Ram U. Verma
Cover of the book Multidisciplinary Contributions to the Science of Creative Thinking by Ram U. Verma
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy