- PII
- S042473880000616-6-1
- DOI
- 10.7868/S0000616-6-1
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 52 / Issue 3
- Pages
- 65-77
- Abstract
- The application peculiarities of optimal control models in economic problems are discussed. Attention is stressed in the need to fi nd the global extremum. To this end it is proposed, as in the calculus of variations, to build central fi elds of extremals and examine them for global extremum. The central fi eld consists of extremals emanating from the initial point and once covering the reachable area. Since building such a fi eld is analytically much harder than fi nding one extremal, which may be interpreted only as a local extremum, paying more attention to numerical methods is recomended. This program is being implemented at a known problem that is to perform an order for a production by given time at minimum cost. The central fi eld of Pontryagin's extremals is built. An extremal of general position consists of three stages. First, there is a waiting period, then - the gradual deployment of incremental production rate, and at the last stage - the production at maximum speed. It is proved that the fi eld is smooth, so that each trajectory is optimal in the usual sense. For this model numerical experiments were conducted. The family of trajectories constructed numerically is almost indistinguishable visually from the analytical constructed fi eld of extremals. This emphasizes the closeness and adequacy of both approaches.
- Keywords
- optimal control, order, production output, global extremum, central field of trajectories
- Date of publication
- 01.07.2016
- Year of publication
- 2016
- Number of purchasers
- 1
- Views
- 763
RAS Social ScienceЭкономика и математические методы Economics and the Mathematical Methods
- ISSN (Print) 0424-7388
- ISSN (Online) 3034-6177
OPTIMAL PRODUCTION CONTROL OF ORDER PERFORMING BY DELIVERY DATE
Indexing
Scopus
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Higher Attestation Commission
At the Ministry of Education and Science of the Russian Federation
Scientific Electronic Library