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Pseudo-Boolean Programming and Applications: Presented at the Colloquium on Mathematics and Cybernetics in the Economy, Berlin, October 1964 (Lecture Notes in Mathematics)
Pseudo-Boolean Programming and Applications: Presented at the Colloquium on Mathematics and Cybernetics in the Economy, Berlin, October 1964 (Lecture Notes in Mathematics)
Date: 13 April 2011, 00:46
Pseudo-Boolean Programming and Applications: Presented at the Colloquium on Mathematics and Cybernetics in the Economy, Berlin, October 1964
(Lecture Notes in Mathematics - Volume 9)
In this lecture we shall give a brief description of
some applications of Boolean algebraic methods in operatlons
research.
It was Professor George B. Dantzig, who has shown (/22/,
/23/, Chapter 26 of/~4/, etc.) that a great variety of problems
in operations research and related areas, may be given a unified
approach by means of mathematical programming with bivalent
variables.
The initial idea concerning the possibility to apply Boolean
methods in economic problems, belongs to Professor Robert
Fortet, who, in /35/ has pointed out the strong relationship
between Boolean algebra and some important combinatorial
problems arising in operations research. In /36/ he has also
shown ~hat problems of real economic importance may be handled
with that mathematical apparatus, while in /37/ he used it in
connection with problems of linear programming in integers.
Important results in this direction were elaborated by Paul Camion
/19/ and Khaled Maghout /89/.

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