Kordecki, Wojciech Limit distributions of the capacity of large regular channel graphs. (English) Zbl 0948.90049 Int. J. Appl. Math. Comput. Sci. 9, No. 2, 421-434 (1999). Summary: The paper is devoted to the investigation of reliability of large channel graphs having links with low reliabilities. Under some regularity assumptions regarding such graphs, we derive bounds and limit distributions of their capacities. The main goal of the paper is to prove a Poisson convergence of the capacity. MSC: 90B25 Reliability, availability, maintenance, inspection in operations research 90B15 Stochastic network models in operations research Keywords:reliability; bounds; limit distributions; capacities; Poisson convergence PDF BibTeX XML Cite \textit{W. Kordecki}, Int. J. Appl. Math. Comput. Sci. 9, No. 2, 421--434 (1999; Zbl 0948.90049)