A Connected-Component Improvement Procedure for Relative Isolation Probability Calculation

Renzo Roel P. Tan, Nara Institute of Science and Technology
Kazushi Ikeda, Nara Institute of Science and Technology

Abstract

Due to the prevalence of natural disasters, the resilience of networks that provide essential services to the population has been studied. A recent contribution is the probability of relative isolation, which measures the likelihood of a demand node to be unreachable by supply nodes. The existing procedure for calculation is an enumerative decision-diagram-based approach that may be resource-intensive especially on occasions when time and memory constraints are imposed. In response, the study reverse-engineers the current method towards increased efficiency. The proposed solution hinges on the breadth-first search, producing connected components based on the sources. The algorithm is then benchmarked on foundational networks from literature, presenting a 99.77% decrease in computation time on average.