國立虎尾科技大學 |

Semi-infinite fractional programming

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Semi-infinite fractional programming/ by Ram U. Verma.
作者:	Verma, Ram U.
出版者:	Singapore :Springer Singapore : : 2017.,
面頁冊數:	xi, 291 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Programming (Mathematics) -
電子資源:	http://dx.doi.org/10.1007/978-981-10-6256-8
ISBN:	9789811062568

Semi-infinite fractional programming
Verma, Ram U.

Semi-infinite fractional programming[electronic resource] /by Ram U. Verma. - Singapore :Springer Singapore :2017. - xi, 291 p. :ill., digital ;24 cm. - Infosys science foundation series,2363-6149. - Infosys science foundation series..

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 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.

ISBN: 9789811062568

Standard No.: 10.1007/978-981-10-6256-8doiSubjects--Topical Terms:

528016
Programming (Mathematics)

LC Class. No.: QA402.5 / .V476 2017

Dewey Class. No.: 519.7

Semi-infinite fractional programming
LDR:03489nam a2200325 a 4500 001 905314
003 DE-He213
005 20180426150610.0
006 m d
007 cr nn 008maaau
008 190308s2017 si s 0 eng d
020 $a 9789811062568 $q (electronic bk.)
020 $a 9789811062551 $q (paper)
024 7 $a 10.1007/978-981-10-6256-8 $2 doi
035 $a 978-981-10-6256-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA402.5 $b .V476 2017
072 7 $a PBU $2 bicssc
072 7 $a MAT003000 $2 bisacsh
082 0 4 $a 519.7 $2 23
090 $a QA402.5 $b .V522 2017
100 1 $a Verma, Ram U. $3 1172371
245 1 0 $a Semi-infinite fractional programming $h [electronic resource] / $c by Ram U. Verma.
260 $a Singapore : $c 2017. $b Springer Singapore : $b Imprint: Springer,
300 $a xi, 291 p. : $b ill., digital ; $c 24 cm.
490 1 $a Infosys science foundation series, $x 2363-6149
505 0 $a 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.
520 $a 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.
650 0 $a Programming (Mathematics) $3 528016
650 0 $a Mathematical optimization. $3 527675
650 0 $a Finite element method. $3 528332
650 0 $a Modules (Algebra) $3 672305
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Optimization. $3 669174
650 2 4 $a Statistics for Business/Economics/Mathematical Finance/Insurance. $3 669275
650 2 4 $a Economic Theory/Quantitative Economics/Mathematical Methods. $3 1069071
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Infosys science foundation series. $3 1065162
856 4 0 $u http://dx.doi.org/10.1007/978-981-10-6256-8
950 $a Mathematics and Statistics (Springer-11649)