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Generalized Fractional Programming (Hardcover)
Loot Price: R4,197
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Generalized Fractional Programming (Hardcover)
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This monograph is aimed at presenting smooth and unified
generalized fractional programming (or a program with a finite
number of constraints). Under the current interdisciplinary
computer-oriented research environment, these programs are among
the most rapidly expanding research areas in terms of its
multi-facet applications and empowerment for real world problems
that can be handled by transforming them into generalized
fractional programming problems. Problems of this type have been
applied for the modeling and analysis of a wide range of
theoretical as well as concrete, real world, practical problems.
More specifically, generalized fractional programming concepts and
techniques have found relevance and worldwide applications in
approximation theory, statistics, game theory, engineering design
(earthquake-resistant design of structures, design of control
systems, digital filters, electronic circuits, etc.), boundary
value problems, defect minimization for operator equations,
geometry, random graphs, graphs related to Newton flows, wavelet
analysis, reliability testing, environmental protection planning,
decision making under uncertainty, geometric programming,
disjunctive programming, optimal control problems, robotics, and
continuum mechanics, among others. It is highly probable that among
all industries, especially for the automobile industry, robots are
about to revolutionize the assembly plants forever. That would
change the face of other industries toward rapid technical
innovation as well. The main focus of this monograph is to empower
graduate students, faculty and other research enthusiasts for more
accelerated research advances with significant applications in the
interdisciplinary sense without borders. The generalized fractional
programming problems have a wide range of real-world problems,
which can be transformed in some sort of a generalized fractional
programming problem. Consider fractional programs that arise from
management decision science; by analyzing system efficiency in an
economical sense, it is equivalent to maximizing system efficiency
leading to fractional programs with occurring objectives:
Maximizing productivity; Maximizing return on investment;
Maximizing return/ risk; Minimizing cost/time; Minimizing
output/input. The authors envision that this monograph will
uniquely present the interdisciplinary research for the global
scientific community (including graduate students, faculty, and
general readers). Furthermore, some of the new concepts can be
applied to duality theorems based on the use of a new class of
multi-time, multi-objective, variational problems as well.
General
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