Hitting Times in Markov Chains with Restart and their Application to Network Centrality

Abstract : Motivated by applications in telecommunications, computer science and physics, we consider a discrete-time Markov process with restart. At each step the process either with a positive probability restarts from a given distribution, or with the complementary probability continues according to a Markov transition kernel. The main contribution of the present work is that we obtain an explicit expression for the expectation of the hitting time (to a given target set) of the process with restart. The formula is convenient when considering the problem of optimization of the expected hitting time with respect to the restart probability. We illustrate our results with two examples in uncountable and countable state spaces and with an application to network centrality.
Complete list of metadatas

Cited literature [40 references]  Display  Hide  Download

https://hal.inria.fr/hal-01937983
Contributor : Konstantin Avrachenkov <>
Submitted on : Wednesday, November 28, 2018 - 1:43:20 PM
Last modification on : Wednesday, June 26, 2019 - 11:58:11 AM

File

HitWRestartAuthorVersion.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Konstantin Avrachenkov, Alexey Piunovskiy, Yi Zhang. Hitting Times in Markov Chains with Restart and their Application to Network Centrality. Methodology and Computing in Applied Probability, Springer Verlag, 2018, 20 (4), pp.1173 - 1188. ⟨10.1007/s11009-017-9600-5⟩. ⟨hal-01937983⟩

Share

Metrics

Record views

56

Files downloads

40