標題: Reliability analysis of replicated and-or graphs
作者: Liang, DR
Jan, RH
Tripathi, SK
資訊工程學系
Department of Computer Science
公開日期: 1-七月-1997
摘要: A computation task running in distributed systems can be represented as a directed graph H(V, E) whose vertices and edges may fail with known probabilities. In this paper, we introduce a reliability measure, called the distributed task reliability, to model the reliability of such computation tasks. The distributed task reliability is defined as the probability that the task can be successfully executed. Due to the and-fork/and-join constraint, the traditional network reliability problem is a special case of the distributed task reliability problem, where the former is known to be NP-hard in general graphs. For two-terminal and-or series-parallel (AOSP) graphs, the distributed task reliability can be computed in polynomial time. We consider a graph H-k((V) over cap, (E) over cap, named a k-replicated and-or series-parallel (RAOSP) graph, which is obtained from an AOSP graph H(V, E) by adding (k - 1) replications to each vertex and adding proper edges between two vertices. It can be shown that the RAOSP graphs are not AOSP graphs; thus, the existing polynomial algorithm does not apply. Previously, only exponential time algorithms as used in general graphs are known for computing the reliability of H-k((V) over cap, (E) over cap. In this paper, we present a linear time algorithm with O(K(V + E)) complexity to evaluate the reliability of the graph H-k((V) over cap, (E) over cap), where K = max{k(2)2(2k), 2(3k)}. (C) 1997 John Wiley & Sons, Inc.
URI: http://hdl.handle.net/11536/481
ISSN: 0028-3045
期刊: NETWORKS
Volume: 29
Issue: 4
起始頁: 195
結束頁: 203
顯示於類別:期刊論文


文件中的檔案:

  1. A1997XE31600002.pdf