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New Trends in Fractional Programming (Hardcover)
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New Trends in Fractional Programming (Hardcover)
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This monograph presents smooth, unified, and generalized fractional
programming problems, particularly advanced duality models for
discrete min-max fractional programming. In the current,
interdisciplinary, computer-oriented research environment, these
programs are among the most rapidly expanding research areas in
terms of their multi-faceted applications including problems
ranging from robotics to money market portfolio management. The
other more significant aspect of this monograph is in its
consideration of minimax fractional integral type problems using
higher order sonvexity and sounivexity notions. This is significant
for the development of different types of duality models in terms
of weak, strong, and strictly converse duality theorems, which can
be handled by transforming them into generalized fractional
programming problems. Fractional integral type programming is one
of the fastest expanding areas of optimization, which feature
several types of real-world problems. It can be applied to
different branches of engineering (including multi-time
multi-objective mechanical engineering problems) as well as to
economics, to minimize a ratio of functions between given periods
of time. Furthermore, it can be utilized as a resource in order to
measure the efficiency or productivity of a system. In these types
of problems, the objective function is given as a ratio of
functions. For example, we consider a problem that deals with
minimizing a maximum of several time-dependent ratios involving
integral expressions.
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