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MFPT calculation for random walks in inhomogeneous networks

Research output: Contribution to journalArticle

Isuri Wijesundera ; Malka Halgamuge ; Nirmalathas Ampalavanapillai ; Thrishantha Nanayakkara

Original languageEnglish
Pages (from-to)986-1002
Number of pages17
JournalPHYSICA A
Volume462
Early online date23 Jun 2016
DOIs
StatePublished - 15 Nov 2016

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Abstract

Knowing the expected arrival time at a particular state, also known as the mean first passage time (MFPT ), often plays an important role for a large class of random walkers in their respective state-spaces. Contrasting to ideal conditions required by recent advancements on MFPT estimations, many naturally occurring random walkers encounter inhomogeneity of transport characteristics in the networks they walk on. This paper presents a heuristic method to divide an inhomogeneous network into homogeneous network primitives (NPs) optimized using particle swarm optimizer, and to use a ‘hop-wise’ MFPT calculation method. This methodology’s potential is demonstrated through simulated random walks and with a case study using the dataset of past cyclone tracks over the North Atlantic ocean. Parallel processing was used to increase calculation efficiency. The predictions using the proposed method is compared to real data averages and predictions assuming homogeneous transport properties. The results show that breaking the problem into NPs reduces the average error from 18.8% to 5.4% with respect to the homogeneous network assumption.

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