TY - GEN
T1 - Design and analysis of networks with large components in presence of region-based faults
AU - Banerjee, Sujogya
AU - Shirazipourazad, Shahrzad
AU - Sen, Arunabha
PY - 2011
Y1 - 2011
N2 - Connectivity k(G) of a network G is traditionally considered to be the primary metric for evaluation of its fault tolerance capability. However, connectivity as a metric has several limitations - e.g., it has no mechanism to distinguish between localized and random faults. Also it does not provide any information about the network state, if number of failures exceed k(G). The network state information that might be of interest in such a scenario is the size of the largest connected component. In this paper, we address both these limitations and introduce a new metric called region-based largest component size (RBLCS), that provides the largest size of the component in which the network decomposes once all the nodes of a region fail. We study the computational complexity of finding RBLCS for a given network. In addition, we study the problem of least cost design of a network with a target value of RBLCS. We prove that the optimal design problem is NP-complete and present a heuristic to solve the problem. We evaluate our heuristic by comparing its solutions with the optimal solutions. Experimental results demonstrate that our heuristic produces near optimal solution in a fraction of time needed to find the optimal.
AB - Connectivity k(G) of a network G is traditionally considered to be the primary metric for evaluation of its fault tolerance capability. However, connectivity as a metric has several limitations - e.g., it has no mechanism to distinguish between localized and random faults. Also it does not provide any information about the network state, if number of failures exceed k(G). The network state information that might be of interest in such a scenario is the size of the largest connected component. In this paper, we address both these limitations and introduce a new metric called region-based largest component size (RBLCS), that provides the largest size of the component in which the network decomposes once all the nodes of a region fail. We study the computational complexity of finding RBLCS for a given network. In addition, we study the problem of least cost design of a network with a target value of RBLCS. We prove that the optimal design problem is NP-complete and present a heuristic to solve the problem. We evaluate our heuristic by comparing its solutions with the optimal solutions. Experimental results demonstrate that our heuristic produces near optimal solution in a fraction of time needed to find the optimal.
UR - http://www.scopus.com/inward/record.url?scp=80052167635&partnerID=8YFLogxK
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U2 - 10.1109/icc.2011.5962427
DO - 10.1109/icc.2011.5962427
M3 - Conference contribution
AN - SCOPUS:80052167635
SN - 9781612842332
T3 - IEEE International Conference on Communications
BT - 2011 IEEE International Conference on Communications, ICC 2011
T2 - 2011 IEEE International Conference on Communications, ICC 2011
Y2 - 5 June 2011 through 9 June 2011
ER -