Title
On Fundamental Bounds on Failure Identifiability by Boolean Network Tomography
Abstract
Boolean network tomography is a powerful tool to infer the state (working/failed) of individual nodes from path-level measurements obtained by edge-nodes. We consider the problem of optimizing the capability of identifying network failures through the design of monitoring schemes. Finding an optimal solution is NP-hard and a large body of work has been devoted to heuristic approaches providing lower bounds. Unlike previous works, we provide upper bounds on the maximum number of identifiable nodes, given the number of monitoring paths and different constraints on the network topology, the routing scheme, and the maximum path length. These upper bounds represent a fundamental limit on identifiability of failures via Boolean network tomography. Our analysis provides insights on how to design topologies and related monitoring schemes to achieve the maximum identifiability under various network settings. Through analysis and experiments we demonstrate the tightness of the bounds and efficacy of the design insights for engineered as well as real networks.
Year
DOI
Venue
2020
10.1109/TNET.2020.2969523
IEEE/ACM Transactions on Networking
Keywords
DocType
Volume
Monitoring,Tomography,Routing,Network topology,Topology,Testing,Indexes
Journal
28
Issue
ISSN
Citations 
2
1063-6692
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
N. Bartolini1477.20
Ting He21009.52
Viviana Arrigoni302.03
Annalisa Massini413715.53
Federico Trombetti500.34
Hana Khamfroush67511.84