STUDIES ON BOTTLENECK PROBLEMS IN PRODUCTION PROCESSES
RAND CORP SANTA MONICA CA
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Two papers are given, their purpose being to study in detail some representative problems which occur in the study of interindustry processes. The general techniques will be those of the theory of dynamic programming. The first paper considers a simple mathematical model of the interaction of two independent industries engaged in the production of one item. For convenience, the auto and steel industries are considered. The second paper treats the problem of maximizing x sub 2 T given the equations dx sub 2dt a sub 2 z sub 2 t - z sub 3 t, x sub 2 0c sub 2, and dx sub 3dt b sub 3 gamma sub 3 z sub 3 t gamma sub 2 a sub 2 t, x sub 3 0 c sub 3, and the constraints z sub 2, z sub 3 greater than or equal to 0, z sub 2 z sb 3 less than or equal to x sub 2, and gamma sub 2 z sub 2 gamma sub 3 z sub 3 less than or equal to x sub 3, where a sub 2, b sub 2, gamma sub 2, and gamma sub 3 are positive constants.
- Computer Programming and Software