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Fractional Programming - Theory, Methods and Applications (Hardcover, 1997 ed.)
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Fractional Programming - Theory, Methods and Applications (Hardcover, 1997 ed.)
Series: Mathematics and Its Applications, 409
Expected to ship within 10 - 15 working days
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Mathematical programming has know a spectacular diversification in
the last few decades. This process has happened both at the level
of mathematical research and at the level of the applications
generated by the solution methods that were created. To write a
monograph dedicated to a certain domain of mathematical programming
is, under such circumstances, especially difficult. In the present
monograph we opt for the domain of fractional programming. Interest
of this subject was generated by the fact that various optimization
problems from engineering and economics consider the minimization
of a ratio between physical and/or economical functions, for
example cost/time, cost/volume, cost/profit, or other quantities
that measure the efficiency of a system. For example, the
productivity of industrial systems, defined as the ratio between
the realized services in a system within a given period of time and
the utilized resources, is used as one of the best indicators of
the quality of their operation. Such problems, where the objective
function appears as a ratio of functions, constitute fractional
programming problem. Due to its importance in modeling various
decision processes in management science, operational research, and
economics, and also due to its frequent appearance in other
problems that are not necessarily economical, such as information
theory, numerical analysis, stochastic programming, decomposition
algorithms for large linear systems, etc., the fractional
programming method has received particular attention in the last
three decade
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