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Article
Reminiscences about the origins of linear programming

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Linear programming
Authors: ---
ISBN: 0387948333 0387986138 9786610006816 1280006811 0387226338 1280188812 9786610188819 0387215697 Year: 1997 Publisher: Berlin Springer

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By George B. Dantzig LINEAR PROGRAMMING The Story About How It Began: Some legends, a little about its historical sign- cance, and comments about where its many mathematical programming extensions may be headed. Industrial production, the ?ow of resources in the economy, the exertion of military e?ort in a war, the management of ?nances—all require the coordination of interrelated activities. What these complex undertakings share in common is the task of constructing a statement of actions to be performed, their timing and quantity(calledaprogramorschedule), that, ifimplemented, wouldmovethesystem from a given initial status as much as possible towards some de?ned goal. While di?erences may exist in the goals to be achieved, the particular processes, and the magnitudes of e?ort involved, when modeled in mathematical terms these seemingly disparate systems often have a remarkably similar mathematical str- ture. The computational task is then to devise for these systems an algorithm for choosing the best schedule of actions from among the possible alternatives. The observation, in particular, that a number of economic, industrial, ?nancial, and military systems can be modeled (or reasonably approximated) by mathem- ical systems of linear inequalities and equations has given rise to the development of the linear programming ?eld.

Mathematics of the decision sciences, part 1. Part 1
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ISBN: 0821811118 Year: 1968 Publisher: Providence, Rhode Island : A.M.S. (American Mathematical Society),

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Book
Linear inequalities and related systems
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Year: 1956 Publisher: Princeton : Princeton University Press,

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Book
Lectures in differential equations
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Year: 1969 Publisher: New York : Van Nostrand - Reinhold company,

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Book
Activity analysis of production and allocation : proceedings of a conference
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Year: 1951 Publisher: New York : J. Wiley,

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