A simple population protocol for fast robust approximate majority

Distributed Computing - Tập 21 Số 2 - Trang 87-102 - 2008
Dana Angluin1, James Aspnes1, David Eisenstat2
1Department of Computer Science, Yale University, New Haven, USA
2New Haven, USA

Tóm tắt

Từ khóa


Tài liệu tham khảo

Alon N. and Spencer J.H. (1992). The Probabilistic Method. Wiley, New York

Angluin D., Aspnes J., Diamadi Z., Fischer M.J. and Peralta R. (2006). Computation in networks of passively mobile finite-state sensors. Distrib. Comput. 18(4): 235–253

Angluin, D., Aspnes, J., Eisenstat, D.: Fast computation by population protocols with a leader. In: Distributed Computing: 20th International Symposium, DISC 2006: Stockholm, Sweden, September 2006: Proceedings, pp. 61–75 (2006)

Angluin D., Aspnes J., Eisenstat D. and Ruppert E. (2007). The computational power of population protocols. Distrib. Comput. 20(4): 279–304

Aspnes J. and Ruppert E. (2007). An introduction to population protocols. Bull. Eur. Assoc. Theor. Comput. Sci. 93: 98–117

Chow Y.S., Robbins H. and Siegmund D. (1991). The Theory of Optimal Stopping. Dover, New York

Ezhilchelvan, P., Mostefaoui, A., Raynal, M.: Randomized multivalued consensus. In: ISORC ’01: Proceedings of the Fourth International Symposium on Object-Oriented Real-Time Distributed Computing, p. 195. IEEE Computer Society, Washington (2001)

Feller W. (1958). An Introduction to Probability and its Applications, vol. 1, 3rd edn. Wiley, New York

Gillespie D.T. (1977). Exact stochastic simulation of coupled chemical reactions. J. Phys. Chem. 81(25): 2340–2361

Gillespie D.T. (1992). A rigorous derivation of the chemical master equation. Physica A 188: 404–425

Grimmet G.R. and Stirzaker D.R. (1992). Probability and Random Processes, 2nd edn. Oxford Science Publications, Oxford

Kurtz, T.G.: Approximation of Population Processes. No. 36 in CBMS-NSF Regional Conference Series in Applied Mathematics. Society for Industrial and Applied Mathematics, Philadelphia (1981)

Mostefaoui A., Raynal M. and Tronel F. (2000). From binary consensus to multivalued consensus in asynchronous message-passing systems. Inform. Proces. Lett. 73(5–6): 2007–212

Wormald N.C. (1995). Differential equations for random processes and random graphs. Ann. Appl. Probab. 5(4): 1217–1235