- PII
- S042473880000616-6-1
- DOI
- 10.7868/S0000616-6-1
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 52 / Issue 3
- Pages
- 114-124
- Abstract
- We study the problem of optimal planning of the renewable bioresources implementation, namely the commercial breeding of fi sh and animals. We are studying different models of the objective function, which is the difference between income for the entire planning period and the cost of using the resource, including extraction. The unknowns are the annual volumes of resources used. There may be restrictions on the minimum size of these volumes, as well as restrictions on the minimum amount of a resource that should remain after the end of the reporting period of planning. For the simple linear model it shows that every year except the last, we should use the minimum allowable amount of resources, and in the last year to use the maximum amount of the resource, i.e. to leave for further work specifi ed minimum volume. For the quadratic model based on dynamic programming method we derived new formulas, thus avoiding sorting options step by step solutions. For any additive objective function new effi cient algorithms are offered for solving the problem using the Pareto sets.
- Keywords
- resource, the objective function, the set of statest dynamic programming, the optimal path, Pareto sets
- Date of publication
- 01.07.2016
- Year of publication
- 2016
- Number of purchasers
- 1
- Views
- 861
RAS Social ScienceЭкономика и математические методы Economics and the Mathematical Methods
- ISSN (Print) 0424-7388
- ISSN (Online) 3034-6177
MATHEMATICAL MODELS AND ALGORITHMS FOR OPTIMAL PLANNING OF REPRODUCTION AND USE OF RENEWABLE BIORESOURCES
Indexing
Scopus
Crossref
Higher Attestation Commission
At the Ministry of Education and Science of the Russian Federation
Scientific Electronic Library