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Linear Multiobjective Programming (Paperback, Softcover reprint of the original 1st ed. 1974)
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Linear Multiobjective Programming (Paperback, Softcover reprint of the original 1st ed. 1974)
Series: Lecture Notes in Economics and Mathematical Systems, 95
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1.1. The origin of the multiobjective problem and a short
historical review The continuing search for a discovery of
theories, tools and c- cepts applicable to decision-making
processes has increased the complexity of problems eligible for
analytical treatment. One of the more pertinent criticisms of
current decision-making theory and practice is directed against the
traditional approximation of multiple goal behavior of men and
organizations by single, technically-convenient criterion. Reins-
tementof the role of human judgment in more realistic, multiple
goal se, ttings has been one of the ma or recent developments in
the literature. Consider the following simplified problem. There is
a large number of people to be transported daily between two
industrial areas and their adjacent residential areas. Given some
budgetary and technological c- straints we would like to determine
optimal transportation modes as well as the number of units of each
to be scheduled for service. What is the optimal solution? Are we
interested in the cheapest transportation? Do we want the fastest,
the safest, the cleanest, the most profitable, the most durable?
There are many criteria which are to be considered: travel times,
consumer's cost, construction cost, operating cost, expected
fatalities and injuries, probability of delays, etc.
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