Paper Info
Title
Transient analysis of a resource-limited recovery policy for epidemics: A retrial queueing approach
Abstract
Knowledge on the dynamics of standard epidemic models and their variants over complex networks has been well-established primarily in the stationary regime, with relatively little light shed on their transient behavior. In this paper, we analyze the transient characteristics of the classical susceptible-infected (SI) process with a recovery policy modeled as a state-dependent retrial queueing system in which arriving infected nodes, upon finding all the limited number of recovery units busy, join a virtual buffer and try persistently for service in order to regain susceptibility. In particular, we formulate the stochastic SI epidemic model with added retrial phenomenon as a finite continuous-time Markov chain (CTMC) and derive the Laplace transforms of the underlying transient state probability distributions and corresponding moments for a closed population of size N driven by homogeneous and heterogeneous contacts. Our numerical results reveal the strong influence of infection heterogeneity and retrial frequency on the transient behavior of the model for various performance measures.
Year
DOI
Venue
2016
10.1109/SARNOF.2016.7846752
2016 IEEE 37th Sarnoff Symposium
Keywords
DocType
Volume
malware propagation,heterogeneous contacts,probability distributions,Laplace transforms,finite continuous-time Markov chain,stochastic SI epidemic model,virtual buffer,state-dependent retrial queueing system,susceptible-infected process,standard epidemic models,queueing approach,resource-limited recovery policy,transient analysis
Conference
abs/1607.08443
ISBN
Citations 
PageRank 
978-1-5090-1541-2
0
0.34
References 
Authors
8
4
Name
Order
Citations
PageRank
Aresh Dadlani19813.04
Muthukrishnan Senthil Kumar284.23
K. C. Kim356785.37
Faryad Darabi Sahneh4326.62