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Open AccessArticle

Optimal Planning of Wood Harvesting and Timber Supply in Russian Conditions

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Department of Applied Mathematics and Cybernetics, Petrozavodsk State University, Lenin av., 33, 185910 Petrozavodsk, Russia
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Department of Transport and Production Machines and Equipment, Petrozavodsk State University, Lenin av., 33, 185910 Petrozavodsk, Russia
*
Author to whom correspondence should be addressed.
Forests 2020, 11(6), 662; https://doi.org/10.3390/f11060662
Received: 27 April 2020 / Revised: 5 June 2020 / Accepted: 8 June 2020 / Published: 10 June 2020
(This article belongs to the Section Wood Science)
This paper describes an approach to the optimal planning of wood harvesting and timber supply for forest companies of Russia. Software and tools successfully used in other countries (e.g., Finland, Sweden, Canada, etc.) are not as effective in Russian conditions for a number of reasons. This calls for the development of an original approach to solve this problem with respect to Russia’s specific conditions. The main factors affecting the operation of wood harvesting companies in Russia were determined. The optimization problem was formulated taking into account all important features of wood harvesting specific to the country. The mathematical model of the problem was formulated and analyzed. An important requirement is that the solution algorithm should find high-quality plans within short computation times. The original problem was reduced to a block linear programming problem of large dimension, for which an effective numerical solution method was proposed. It is based on the multiplicative simplex method with column generation within Dantzig–Wolfe decomposition and uses heuristics to determine feasible solutions based on the branch and bound method. We tested the solution approach on real production data from a forest company in southern Karelia with a planning horizon up to a year. This case study involved 198 sites and 14 machines harvesting up to 200,000 cubic meters from an available stock volume of about 300,000 cubic meters. An increase in profit by 5% to 10% was observed, measured as revenue from the sale of products, net of harvesting and transportation costs. View Full-Text
Keywords: wood harvesting; timber supply; decision-support system; optimization; multicriteria Boolean nonlinear programming; block linear programming; column generation method wood harvesting; timber supply; decision-support system; optimization; multicriteria Boolean nonlinear programming; block linear programming; column generation method
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Shabaev, A.; Sokolov, A.; Urban, A.; Pyatin, D. Optimal Planning of Wood Harvesting and Timber Supply in Russian Conditions. Forests 2020, 11, 662.

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