Transient analysis of a resource-limited recovery policy for epidemics: A retrial queueing approach

Aresh Dadlani, Muthukrishnan Senthil Kumar, Kiseon Kim, Faryad Darabi Sahneh

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

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.

Original languageEnglish
Title of host publication37th IEEE Sarnoff Symposium, Sarnoff 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages187-192
Number of pages6
ISBN (Electronic)9781509015405
DOIs
Publication statusPublished - Feb 7 2017
Externally publishedYes
Event37th IEEE Sarnoff Symposium, Sarnoff 2016 - Newark, United States
Duration: Sep 19 2016Sep 21 2016

Conference

Conference37th IEEE Sarnoff Symposium, Sarnoff 2016
CountryUnited States
CityNewark
Period9/19/169/21/16

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Hardware and Architecture

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