Abstract
A method is proposed for approximation of solutions of a locally finite system of linear inequalities with a multigraph structure. The results obtained are used for search for dynamic flows in networks that satisfy the generalized principle of conservation.
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REFERENCES
V. V. Ostapenko and G. S. Finin, “Modeling of water movement by the Kirchhoff generalized law,” Probl. Upravl. Inf., No. 4, 86-90 (1999).
V. V. Ostapenko and G. S. Finin, “The method of elimination of unknowns for systems of linear inequalities with graph structure,” Kibern. Sist. Anal., No. 5, 66-74 (1999).
V. V. Ostapenko, A. I. Pavlygin, and G. S. Finin, “A generalized principle of conservation of flows in networks,” in: Proc. 3rd Conference on Automatic Control (Avtomatika-96) [in Russian], Vol. 2, SevGTU, Sevastopol (1996), p. 137.
G. S. Finin, “Solution of systems of linear inequalities by methods of elimination of unknowns,” Vestnik Intern. Solomon Univ., No. 1, 116-122 (1999).
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Finin, G.S. Solution of a Locally Finite System of Linear Inequalities with Directed Multigraph Structure. Cybernetics and Systems Analysis 36, 942–945 (2000). https://doi.org/10.1023/A:1009425914608
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DOI: https://doi.org/10.1023/A:1009425914608