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MATHEMATICAL MODELS AND ALGORITHMS FOR OPTIMAL PLANNING OF REPRODUCTION AND USE OF RENEWABLE BIORESOURCES
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MATHEMATICAL MODELS AND ALGORITHMS FOR OPTIMAL PLANNING OF REPRODUCTION AND USE OF RENEWABLE BIORESOURCES
Annotation
PII
S042473880000616-6-1
Publication type
Article
Status
Published
Authors
Valery Struchenkov 
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
Number of purchasers
1
Views
826
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0.0 (0 votes)
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Additional sources and materials

Bellman R., Drejfus S. (1965). Prikladnye zadachi dinamicheskogo programmirovaniya. M.: Nauka            


Kosorukov O.A., Mischenko A.V. (2003). Issledovanie operatsij. M.: Ehkzamen.           


Menshutkin V.V., Kislyakov Yu.Ya. (1967). Optimizatsiya rezhimov rybolovstva metodom dinamicheskogo programmirovaniya // Rybnoe khozyajstvo. № 7. S. 79-81.          


Soldatov M.A. (2005). Ehkonomiko-matematicheskoe modelirovanie dvukhpozitsionnogo regulirovaniya optimal'nogo promysla rybnykh resursov // Nauchnye trudy Don NTU. Seriya: ehkonomicheskaya. Vyp. 100-1. Donetsk. S. 184-190.


Struchenkov V.I. (2010). Dynamic Programming with Pareto Sets // Journal of Applied and Industrial Mathematics. Vol. 4. No. 3. P. 428-430.

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