Semi-Infinite Fractional Programming. 1st ed. 2017

種類:

電子ブック

責任表示:

by Ram U. Verma

出版情報:

Singapore : Springer Nature Singapore : Imprint: Springer, 2017

著者名:

• Verma, Ram U.
• SpringerLink (Online service)

シリーズ名:

Infosys Science Foundation Series in Mathematical Sciences ;

ISBN:

9789811062568 [9811062560]    

注記:

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.
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 envir

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