Abstract
This paper investigates the benefits of a recently proposed communication approach, namely on-chip stochastic communication, and proposes an analytical model for computing its mean hitting time. Towards this end, we model the stochastic communication as a branching process taking place on a finite mesh and estimate the mean number of communication rounds.
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References
Alon, et al.: Many Random Walks Are Faster Than One. In: 20th ACM SPAA, Germany (2008)
Bailey, N.T.J.: The Mathematical Theory of Infectious Diseases (1975)
Bar-Yossef, Z., Gurevich, M.: Random sampling from a search engine’s index. In: WWW (2006)
Bogdan, P., Dumitras, T., Marculescu, R.: Stochastic Communication: A New Paradigm for Fault-Tolerant Networks-on-Chip. In: Hindawi VLSI-Design (Feburary 2007)
Broder, A., Karlin, A.R.: Bounds on Cover Time. J. of Theor. Prob. 2(1) (1989)
Bui, A., Sohier, D.: On Time Analysis of Random Walk Based Token Circulation Algorithms. In: Ramos, F.F., Larios Rosillo, V., Unger, H. (eds.) ISSADS 2005. LNCS, vol. 3563, pp. 63–71. Springer, Heidelberg (2005)
Chandra, et al.: The Electrical Resistance of a Graph Captures its Commute and Cover Times. In: ACM Symp. on Theor. of Computing (1989)
Constantinescu, C.: Trends and Challenges in VLSI Circuit Reliability. IEEE Micro (2003)
Cooper, C., Frieze, A., Radzik, T.: Multiple Random Walks in Random Regular Graphs. CMU Technical Report (May 2008)
Doyle, P.G., Snell, L.J.: Random Walks and Electrical Networks, M.A.A (1984)
Eugster, et al.: Epidemic information dissemination in distributed systems. Computer (2004)
Gkantsidis, A., et al.: Random walks in peer-to-peer networks. In: INFOCOM (2004)
Solari, H.G., Natiello, M.A.: Poisson approximation to density dependent stochastic processes. A numerical implementation and test. Växjö Univ. Press., Math. Modelling (2003)
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© 2009 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
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Bogdan, P., Marculescu, R. (2009). Hitting Time Analysis for Stochastic Communication. In: Cheng, M. (eds) Nano-Net. NanoNet 2008. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02427-6_8
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DOI: https://doi.org/10.1007/978-3-642-02427-6_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02426-9
Online ISBN: 978-3-642-02427-6
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