On-line routing of random calls in networks

Probability Theory and Related Fields

Volumn 125, Issue 4, 2003, Pages 457-482

  Luczak, Malwina J ^a   McDiarmid, Colin ^b   Upfal, Eli ^c  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b Department of Statistics ^*  (United Kingdom)

^c BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038609577     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-002-0242-2     Document Type: Article

References (12)

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4. Azar, Y., Broder, A., Karlin, A., Upfal, E.: Balanced Allocations, SIAM J. Comput., 29, 180-200 (1999)
5. Berebrink, P., Czumaj, A., Steger, A., Vöcking, B.: Balanced Allocation: The Heavily Loaded Case, Proc. 32nd ACM Symp. Theory Comp., 745-754 (2000)
6. Broder, A.Z., Frieze, A.M., Lund, C., Phillips, S., Reingold, N.: Balanced Allocations for Tree-Like Inputs, Inf. Proc. Let., 55, 329-332 (1995)
7. Gibbens, R.J., Kelly, F.P., Key, P.B.: Dynamic Alternative Routing, In Routing in Communications Networks, M.E. Steenstrup, ed., Prentice Hall, 1995
8. Jogdeo, K., Samuels, S.M.: Monotone convergence of binomial probabilities and a generalization of Ramujan's equation, Ann, Math. Statist., 39, 1191-1195 (1968)
9. Luczak, M.J.: Probability, Algorithms and Telecommunication Systems, DPhil thesis, Oxford University, 2000
10. Luczak, M.J., Upfal, E.: Reducing network congestion and blocking probability through balanced allocations, Proc. 40th IEEE Symp. Found. Comp. Sci., 587-595 (1999)
11. McDiarmid, C.: Concentration, In Probabilistic Methods for Algorithmic Discrete Mathematics, M. Habib, C. McDiarmid, J. Ramirez, B. Reed, eds., Springer-Verlag 1998
12. Mitzenmacher, M.: The Power of Two Choices in Randomized Load Balancing, PhD thesis, Berkeley, 1996