On bounds for the monotone-structure reliability
type: Item
instance of: scholarly article
title: On bounds for the monotone-structure reliability
zbMATH Open document ID: 1023.60074
DOI: 10.1023/A:1013831619318
author: V. G. Krivulets
author: V. P. Polesskij
published in: Problems of Information Transmission
publication date: 2003-11-03T00:00:00Z
review text: Generally, it is not possible to compute the reliability of monotone structures and, therefore, various lower and upper bounds have been proposed for determining network reliability. In this paper new bounds are derived and named difference-untying-packing bounds. They constitute a generalization and an improvement of the Oxley-Welsh bounds for homogeneous monotone structures derived in the context of percolation theory. A simple bridge structure is used for demonstrating the quality of the new bounds.
Mathematics Subject Classification ID: 60K10
Mathematics Subject Classification ID: 90B25
Mathematics Subject Classification ID: 90B18
zbMATH DE Number: 1930630
zbMATH Keywords: untying bounds
zbMATH Keywords: Esary-Proschan bounds
zbMATH Keywords: Oxley-Welsh bounds
MaRDI profile type: Publication
full work available at URL: a:1013831619318
OpenAlex ID: W32524285
description: scientific article; zbMATH DE number 1930630