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Semi-Infinite Fractional Programming (Hardcover, 1st ed. 2017)
Loot Price: R3,406
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Semi-Infinite Fractional Programming (Hardcover, 1st ed. 2017)
Series: Infosys Science Foundation Series
Expected to ship within 10 - 15 working days
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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.
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