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Title: Speeding up the estimation of the expected value of maximum flow through reliable networks
Authors: Sharma, Megha
Ghosh, Diptesh
Keywords: Expected value of maximum s-t flow
Monte Carlo simulation
Network flows
Issue Date: 2013
Publisher: SCOPUS
IEEE Transactions on Reliability
Series/Report no.: 62(1)
Abstract: A common measure of performance of a reliable network, i.e., a network in which elements are failure prone, is the expected value of the maximum s-t flow between a pre-specified source node s and a pre-specified terminal node t in the network. The problem of determining the expected value of maximum s-t flow is computationally hard. Therefore, for practical sized networks, it is estimated through Monte Carlo based simulation methods which estimate the measure by evaluating the maximum flows in a large sample of network states. Such methods are computationally expensive. In this paper, we present an algorithm which speeds up the process of evaluating maximum flows in the sampled states by a factor of three on two difficult classes of randomly generated networks. This speed-up allows us to compute the measure for larger networks than is currently possible. It also allows us to obtain more accurate estimates on similar sized problems within similar execution times. � 1963-2012 IEEE.
Description: Sharma, Megha, Operations Management Group, Indian Institute of Management Calcutta, Kolkata-700104, India; Ghosh, Diptesh, Production and QuantitativeMethods Area, Indian Institute of Management Ahmedabad, Vastrapur, Ahmedabad-380015, India
ISSN/ISBN - 00189529
DOI - 10.1109/TR.2013.2241132
Appears in Collections:Operations Management

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