101. Dynamic programming of a technological process using a modified version of the optimum principle.
- Author
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Cyklis, J.
- Subjects
COST control ,DYNAMIC programming ,MATHEMATICAL models ,CORPORATE reorganizations ,SYSTEMS engineering ,MATHEMATICAL optimization ,MATHEMATICAL statistics - Abstract
This paper deals with a theoretical programming method for determining conditions of unit cost reductions of dynamic technological processes. The mathematical model has been adopted for use as a dynamic programming procedure. The necessary assumptions needed to use the procedure have been formulated.
The more important part of the work is the optimum principle, enabling the solution of a wider class of problems than is possible with the commonly applied R. Bellman's Principle. In place of the assumptions on critical functional additivity (i.e. the additive nature of costs) due to several trajectory elements (e.g. technological operations), more general moments were introduced. These can be stated as 'the costs of the functional value of the first part of the trajectory causes an increase of the functional value for the entire trajectory, regardless of its second part' and 'each intermediate state required in reaching the optimum of the whole process, is to be reached in an optimal manner'. [ABSTRACT FROM AUTHOR]- Published
- 1972