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Model identifies optimal arc capacities to achieve desired limit states in resource networks, suggesting configurations for effective control.
The paper is devoted to solving the problem of local control of in-flows in regular resource networks with low resource. For such networks, a set of controlled vertices is specified. The local control problem is to determine such capacities of arcs entering the controlled vertices that the unique limit state Q^* of regular resource network is the closest to a given state Q . Conditions for the unreachability of the limit state that coincides with the state Q are obtained. Various configurations of resource networks with respect to the distribution of controlled vertices in them are considered. It is shown that if the conditions for the unreachability of the limit state are not satisfied, then there exists a set of capacities of arcs entering the controlled vertices for which the limit state Q^* is equal to the given state Q .
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Evseenko et al. (2025) studied this question.
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