Accession Number:

AD0293677

Title:

STUDIES ON BOTTLENECK PROBLEMS IN PRODUCTION PROCESSES

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CA

Personal Author(s):

Report Date:

1954-02-25

Pagination or Media Count:

57.0

Abstract:

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.

Subject Categories:

  • Computer Programming and Software

Distribution Statement:

APPROVED FOR PUBLIC RELEASE