Ternary means based on three. This book deals with reliability investigations of networks whose components subject to failures can be in three states up, down and middle (mid), contrary to traditionally considered networks having only binary (up/down) components. Extending binary case to ternary allows to consider more realistic and flexible models for communication, flow and supply networks

Presents reliability investigations of networks whose components subject to failures can be in three states Includes supplementary material: sn.pub/extras

Autorentext

Ilya B. Gertsbakh is Professor Emeritus in the Department of Mathematics at Ben-Gurion University of the Negev, Israel. He is author or coauthor of seven books, the recent of which is "Ternary networks: Reliability and Monte Carlo" (with Yoseph Shpungin and Radislav Vaisman), published by Springer in 2014. Ilya Gertsbakh has published some 100 papers on topics in operations research, reliability, applied probability and applied statistics. He received M.Sc degrees in mechanical engineering and mathematics (1961) from Latvian State University in Riga, Latvia, and the Ph.D. degree (1964) in applied probability and statistics from Latvian Academy of Sciences, also in Riga. Yoseph Shpungin is Professor Emeritus in the Software Engineering Department, at Shamoon College of Engineering, Beer Sheva, Israel. He is a coauthor of three books and numerous publications in international scientific journals. He received his M.Sc degree in mathematics(1969) from Latvian State University in Riga, Latvia, and Ph.D. degree (1997) in mathematics from Ben Gurion University, Beer Sheva, Israel.

Inhalt
The principal Model ternary spectrum.- Importance spectrum.- Example of Network: weak and strong connectivity.- Components ranking by their importance; example.-Extension of basic model to many-state system.- Example of Network flow network.- Network with unreliable ternary nodes.- Evolution method: extension to ternary system.- Series and parallel connection of ternary networks.- Large Networks with colored nodes; supply networks.- Network interaction: binary networks.- Network interaction: ternary networks.