Abstract
Leader election protocols have been intensively studied in distributed computing, mostly in the static setting. However, it remains a challenge to design and analyze these protocols in the dynamic setting, due to its high uncertainty, where typical properties include the average steps of electing a leader eventually, the scalability etc. In this paper, we propose a novel model-based approach for analyzing leader election protocols of dynamic systems based on probabilistic model checking. In particular, we employ a leading probabilistic model checker, PRISM, to simulate representative protocol executions. We also relax the assumptions of the original model to cover unreliable channels which requires the introduction of probability to our model. The experiments confirm the feasibility of our approach.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Yang, Z.W., Wu, W.G., Chen, Y.S., Zhang, J.: Efficient information dissemination in dynamic networks. In: 2013 42nd International Conference on Parallel Processing, pp. 603–610 (2013)
Mostefaoui, A., Raynal, M., Travers, C., Patterson, S., Agrawal, D., Abbadi, A.E.: From static distributed systems to dynamic systems. In: Proceedings of the 24th Symposium on Reliable Distributed Systems (SRDS05), IEEE Computer, pp. 109–118 (2005)
Li, H., Wu, W., Zhou, Yu.: Hierarchical eventual leader election for dynamic systems. In: Sun, X.-h., Qu, W., et al. (eds.) ICA3PP 2014, Part I. LNCS, vol. 8630, pp. 338–351. Springer, Heidelberg (2014)
Chen, S., Billings, S.A.: Neural networks for nonlinear dynamic system modelling and identification. Int. J. Control 56(2), 319–346 (1992)
Merritt, M., Taubenfeld, G.: Computing with infinitely many processes. In: Herlihy, M.P. (ed.) DISC 2000. LNCS, vol. 1914, pp. 164–178. Springer, Heidelberg (2000)
Guerraoui, R., Hurfin, M., Mostéfaoui, A., Oliveira, R., Raynal, M., Schiper, A.: Consensus in asynchronous distributed systems: a concise guided tour. In: Krakowiak, S., Shrivastava, S.K. (eds.) BROADCAST 1999. LNCS, vol. 1752, pp. 33–47. Springer, Heidelberg (2000)
Jha, S.K., Clarke, E.M., Langmead, C.J., Legay, A., Platzer, A., Zuliani, P.: A bayesian approach to model checking biological systems. In: Degano, P., Gorrieri, R. (eds.) CMSB 2009. LNCS, vol. 5688, pp. 218–234. Springer, Heidelberg (2009)
Bradley, A.R.: SAT-based model checking without unrolling. In: Jhala, R., Schmidt, D. (eds.) VMCAI 2011. LNCS, vol. 6538, pp. 70–87. Springer, Heidelberg (2011)
Kwiatkowska, M., Norman, G., Parker, D.: PRISM: probabilistic symbolic model checker. In: Field, T., Harrison, P.G., Bradley, J., Harder, U. (eds.) TOOLS 2002. LNCS, vol. 2324, pp. 200–204. Springer, Heidelberg (2002)
Kwiatkowska, M., Norman, G., Parker, D.: PRISM 4.0: verification of probabilistic real-time systems. In: Gopalakrishnan, G., Qadeer, S. (eds.) CAV 2011. LNCS, vol. 6806, pp. 585–591. Springer, Heidelberg (2011)
Zhou, R.F., Hwang, K.: Powertrust: A robust and scalable reputation system for trusted peer-to-peer computing. IEEE Trans. Parallel Distrib. Syst. 18(4), 460–473 (2007)
Vaze, R., Heath, R.W.: Transmission capacity of ad-hoc networks with multiple antennas using transmit stream adaptation and interference cancellation. IEEE Trans. Inf. Theory 58(2), 780–792 (2012)
Aguilera, M.K.: A pleasant stroll through the land of infinitely many creatures. ACM Sigact News 2, 36–59 (2004)
Gupta, I., van Renesse, R., Birman, K.P.: A probabilistically correct leader election protocol for large groups. In: Herlihy, M.P. (ed.) DISC 2000. LNCS, vol. 1914, pp. 89–103. Springer, Heidelberg (2000)
Mostefaoui, A., Raynal, M., Travers, C.: Crash-resilient time-free eventual leadership. In: Proceedings of the 23rd IEEE International Symposium on Reliable Distributed Systems, 2004, pp.208–217. IEEE (2004)
Bordim, J.L., Ito, Y., Nakano, K.: Randomized leader election protocols in noisy radio networks with a single transceiver. In: Guo, M., Yang, L.T., Di Martino, B., Zima, H.P., Dongarra, J., Tang, F. (eds.) ISPA 2006. LNCS, vol. 4330, pp. 246–256. Springer, Heidelberg (2006)
Larrea, M., Raynal, M.: Specifying and implementing an eventual leader service for dynamic systems. In: 2011 14th International Conference on Network-Based Information Systems (NBiS), pp. 243–249 (2011)
Havelund, K., Skou, A., Larsen, K.G., Lund, K.: Formal modeling and analysis of an audio/video protocol: an industrial case study using uppaal. In: IEEE 18th Real-Time Systems Symposium, 2p (1997)
Yue, H., Katoen, J.-P.: Leader election in anonymous radio networks: model checking energy consumption. In: Al-Begain, K., Fiems, D., Knottenbelt, W.J. (eds.) ASMTA 2010. LNCS, vol. 6148, pp. 247–261. Springer, Heidelberg (2010)
Behrmann, G., David, A., Larsen, K.G.: A tutorial on Uppaal. In: Bernardo, M., Corradini, F. (eds.) SFM-RT 2004. LNCS, vol. 3185, pp. 200–236. Springer, Heidelberg (2004)
Acknowledgements
The work was partially funded by the NSF of China under grant No.61202002, No.61379157 and the Collaborative Innovation Center of Novel Software Technology and Industrialization.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Gu, J., Zhou, Y., Wu, W., Chen, T. (2015). Analyzing Eventual Leader Election Protocols for Dynamic Systems by Probabilistic Model Checking. In: Huang, Z., Sun, X., Luo, J., Wang, J. (eds) Cloud Computing and Security. ICCCS 2015. Lecture Notes in Computer Science(), vol 9483. Springer, Cham. https://doi.org/10.1007/978-3-319-27051-7_17
Download citation
DOI: https://doi.org/10.1007/978-3-319-27051-7_17
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-27050-0
Online ISBN: 978-3-319-27051-7
eBook Packages: Computer ScienceComputer Science (R0)