On the computational solution of dynamic programming processes--VIII: a bottleneck situation involving interdependent industries.

by Richard Ernest Bellman, Stuart E. Dreyfus

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A solution of a maximization problem arising in the study of the efficient use of a complex of interdependent industries. Assuming proportional costs and returns, it is shown that the dimensionality of the problem can always be reduced by one, and that all the transformations occurring can be taken to be "shrinking transformations." These transformations greatly improve the efficiency of the method.

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