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**:** 30.1
**:** .. / . 30.1 " ". .: , 2010. .799-816.

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** (.):** dynamic directed graphs, hierarchical structure, linear programming and optimal control

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** (.):** It is convenient to simulate matter-energetic processes in complex systems with dynamic directed graphs (digraphs) reflecting the structure of a system. Acyclic digraphs naturally describe the structure of a hierarchical system. Linear programming and optimal control problems based on matrices of these digraphs are considered, examples of their applications are given.

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