الفهرس 
INEAR PROGRAMMING:Only 14 pages are availabe for public view
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Abstract
Historically, scientists and economists have been interested
in optimization problems, problems which seek to maximize or minimize
a numerical function of a number of”variables. Optimization problems
occured primarily in the physical sciences and geomtry ~ and the
classical optimization techniques, such as differential calculus of
variations, were developed to deal with them.
A new class of optimization problems has since become of
considerable interest, consisting of problems dealing with the optimum
allocation of limited resources. These are programming problems, and
their solution involves a program of action, or a strategy. One seeks
the optimum program or best strategy available within the imposed limitations.
Such a program may involve men, machines, material, land, or
financial assets, all of which contribute to the production of one or
more items.
As optimization techniques have developed, a gap has arisen
between the people devising the methods and the people who actually
need to use them. Research into methods is necessarily long-term and
located usually in academic establishments; whereas the application
of an optimization technique, normally located in an industrial environment
; has to be justified financially in the short-term. The gap is
probably inevitable, but it could be reduced by increasing trials to
apply the optimization techniques on different fields of applications.
The successful application of an optimization technique
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requires, first, the recognition and formulation of an optimization