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Programming of Interdependent Activities: II Mathematical Model

George B. Dantzig
Econometrica
Vol. 17, No. 3/4 (Jul. - Oct., 1949), pp. 200-211
Published by: The Econometric Society
DOI: 10.2307/1905523
Stable URL: http://www.jstor.org/stable/1905523
Page Count: 12
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Programming of Interdependent Activities: II Mathematical Model
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Abstract

Activities (or production processes) are considered as building blocks out of which a technology is constructed. Postulates are developed by which activities may be combined. The main part of the paper is concerned with the discrete type model and the use of a linear maximization function for finding the "optimum" program. The mathematical problem associated with this approach is developed first in general notation and then in term sof a dynamic system of equations expressed in matrix notation. Typical problems from the fields of inter-industryrelations, transportation nutrition, warehouse storage, and air transport are given in the last section.

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