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Volumn 32, Issue 3, 2007, Pages 700-710

A large deviation principle for join the shortest queue

Author keywords

Discontinuous dynamics; Idempotent probability; Join the shortest queue; Large deviations

Indexed keywords

CUSTOMER SATISFACTION; DYNAMICS; MATHEMATICAL MODELS; MATHEMATICAL PROGRAMMING; PROBABILITY; SERVERS;

EID: 38549084797     PISSN: 0364765X     EISSN: 15265471     Source Type: Journal    
DOI: 10.1287/moor.1070.0263     Document Type: Article
Times cited : (22)

References (33)
  • 1
    • 0032362691 scopus 로고    scopus 로고
    • On large deviations in load sharing networks
    • Alanyali, M., B. Hajek. 1998. On large deviations in load sharing networks. Ann. Appl. Probab. 8 67-97.
    • (1998) Ann. Appl. Probab , vol.8 , pp. 67-97
    • Alanyali, M.1    Hajek, B.2
  • 2
    • 0032389503 scopus 로고    scopus 로고
    • On large deviations of Markov processes with discontinuous statistics
    • Alanyali, M., B. Hajek. 1998. On large deviations of Markov processes with discontinuous statistics. Ann. Appl. Probab. 8 45-66.
    • (1998) Ann. Appl. Probab , vol.8 , pp. 45-66
    • Alanyali, M.1    Hajek, B.2
  • 3
    • 0033474697 scopus 로고    scopus 로고
    • Large deviations and queueing networks: Methods for rate function identification
    • Atar, R., P. Dupuis. 1999. Large deviations and queueing networks: Methods for rate function identification. Stochastic Process. Appl. 84(2) 255-296.
    • (1999) Stochastic Process. Appl , vol.84 , Issue.2 , pp. 255-296
    • Atar, R.1    Dupuis, P.2
  • 5
    • 0012473538 scopus 로고    scopus 로고
    • Large deviations for Markov chains in the positive quadrant
    • 5341, 3-116
    • Borovkov, A. A., A. A. Mogul'skil. 2001. Large deviations for Markov chains in the positive quadrant. Uspekhi Mat. Nauk 56(5(341)) 3-116.
    • (2001) Uspekhi Mat. Nauk , vol.56
    • Borovkov, A.A.1    Mogul'skil, A.A.2
  • 6
    • 0034424640 scopus 로고    scopus 로고
    • Large deviations for small noise diffusions with discontinuous statistics
    • Boue, M., P. Dupuis, R. S. Ellis. 2000. Large deviations for small noise diffusions with discontinuous statistics. Probab. Theory Related Fields 116(1) 125-149.
    • (2000) Probab. Theory Related Fields , vol.116 , Issue.1 , pp. 125-149
    • Boue, M.1    Dupuis, P.2    Ellis, R.S.3
  • 7
    • 0000658047 scopus 로고
    • Discrete flow networks: Bottleneck analysis and fluid approximations
    • Chen, H., A. Mandelbaum. 1991. Discrete flow networks: Bottleneck analysis and fluid approximations. Math. Oper. Res. 16(2) 408-446.
    • (1991) Math. Oper. Res , vol.16 , Issue.2 , pp. 408-446
    • Chen, H.1    Mandelbaum, A.2
  • 10
    • 0001470414 scopus 로고
    • Large deviations for Markov processes with discontinuous statistics. II
    • Dupuis, P., R. S. Ellis. 1992. Large deviations for Markov processes with discontinuous statistics. II. Probab. Theory Related Fields 91 153-194.
    • (1992) Probab. Theory Related Fields , vol.91 , pp. 153-194
    • Dupuis, P.1    Ellis, R.S.2
  • 12
    • 0000215977 scopus 로고
    • The large deviation principle for a general class of queueing systems, I
    • Dupuis, P., R. S. Ellis. 1995. The large deviation principle for a general class of queueing systems, I. Trans. Amer. Math. Soc. 347 2689-2751.
    • (1995) Trans. Amer. Math. Soc , vol.347 , pp. 2689-2751
    • Dupuis, P.1    Ellis, R.S.2
  • 13
    • 38549124185 scopus 로고    scopus 로고
    • Dupuis, P., R. S. Ellis, A. Weiss. 1991. Large deviations for Markov processes with discontinuous statistics. I. Ann. Probab. 19 1280-1297.
    • Dupuis, P., R. S. Ellis, A. Weiss. 1991. Large deviations for Markov processes with discontinuous statistics. I. Ann. Probab. 19 1280-1297.
  • 15
    • 0033440011 scopus 로고    scopus 로고
    • Heavy traffic approximations for a system of infinite servers with load balancing
    • Fleming, P. J., B. Simon. 1999. Heavy traffic approximations for a system of infinite servers with load balancing. Probab. Engrg. Inform. Sci. 13 251-273.
    • (1999) Probab. Engrg. Inform. Sci , vol.13 , pp. 251-273
    • Fleming, P.J.1    Simon, B.2
  • 16
    • 0035413559 scopus 로고    scopus 로고
    • Join the shortest queue: Stability and exact asymptotics
    • Foley, R. D., D. R. McDonald. 2001. Join the shortest queue: Stability and exact asymptotics. Ann. Appl. Probab. 11(3) 569-607.
    • (2001) Ann. Appl. Probab , vol.11 , Issue.3 , pp. 569-607
    • Foley, R.D.1    McDonald, D.R.2
  • 17
    • 4043109030 scopus 로고    scopus 로고
    • An extension of the contraction principle
    • Garcia, J. 2004. An extension of the contraction principle. J. Theoret. Probab. 17(2) 403-434.
    • (2004) J. Theoret. Probab , vol.17 , Issue.2 , pp. 403-434
    • Garcia, J.1
  • 18
    • 0034346718 scopus 로고    scopus 로고
    • Large deviations of Jackson networks
    • Ignatiouk-Robert, I. 2000. Large deviations of Jackson networks. Ann. Appl. Probab. 10(3) 962-1001.
    • (2000) Ann. Appl. Probab , vol.10 , Issue.3 , pp. 962-1001
    • Ignatiouk-Robert, I.1
  • 19
    • 23244451581 scopus 로고    scopus 로고
    • Large deviations for processes with discontinuous statistics
    • Ignatiouk-Robert, I. 2005. Large deviations for processes with discontinuous statistics. Ann. Probab. 33(4) 1479-1508.
    • (2005) Ann. Probab , vol.33 , Issue.4 , pp. 1479-1508
    • Ignatiouk-Robert, I.1
  • 21
    • 0000321904 scopus 로고
    • An action functional for a diffusion process with discontinuous drift
    • Korostelëv, A. P., S. L. Leonov. 1992. An action functional for a diffusion process with discontinuous drift. Theory Probab. Appl. 37(3) 543-550.
    • (1992) Theory Probab. Appl , vol.37 , Issue.3 , pp. 543-550
    • Korostelëv, A.P.1    Leonov, S.L.2
  • 22
    • 38549142146 scopus 로고    scopus 로고
    • Russian
    • (In Russian: Teor. Veroyatn. eë Primen. 37(3) 570-576).
    • Teor. Veroyatn. eë Primen , vol.37 , Issue.3 , pp. 570-576
  • 23
    • 21144481515 scopus 로고
    • Action functional for diffusions in discontinuous media
    • Korostelëv, A. P., S. L. Leonov. 1993. Action functional for diffusions in discontinuous media. Probab. Theory Related Fields 94(3) 317-333.
    • (1993) Probab. Theory Related Fields , vol.94 , Issue.3 , pp. 317-333
    • Korostelëv, A.P.1    Leonov, S.L.2
  • 25
    • 4444289687 scopus 로고    scopus 로고
    • Large deviation bounds for single class queueing networks and their calculation
    • Majewski, K. 2004. Large deviation bounds for single class queueing networks and their calculation. Queueing Syst. 48(1-2) 103-134.
    • (2004) Queueing Syst , vol.48 , Issue.1-2 , pp. 103-134
    • Majewski, K.1
  • 26
    • 0001744177 scopus 로고
    • On functional principle of large deviations
    • V Sazonov, T. Shervashidze, eds, VSP/Moks'las, Vilnius, Lithuania
    • Puhalskii, A. 1991. On functional principle of large deviations. V Sazonov, T. Shervashidze, eds. New Trends in Probability and Statistics, Vol. 1. VSP/Moks'las, Vilnius, Lithuania, 198-218.
    • (1991) New Trends in Probability and Statistics , vol.1 , pp. 198-218
    • Puhalskii, A.1
  • 27
    • 0002450213 scopus 로고
    • The method of stochastic exponentials for large deviations
    • Puhalskii, A. 1994. The method of stochastic exponentials for large deviations. Stochastic Process. Appl. 54(1) 45-70.
    • (1994) Stochastic Process. Appl , vol.54 , Issue.1 , pp. 45-70
    • Puhalskii, A.1
  • 29
    • 38549096866 scopus 로고    scopus 로고
    • The action functional for the Jackson network
    • Puhalskii, A. A. 2007. The action functional for the Jackson network. Markov Process: Related Fields 13(1) 99-136.
    • (2007) Markov Process: Related Fields , vol.13 , Issue.1 , pp. 99-136
    • Puhalskii, A.A.1
  • 30
    • 0032268839 scopus 로고    scopus 로고
    • Large deviation properties of data streams that share a buffer
    • Ramanan, K., P. Dupuis. 1998. Large deviation properties of data streams that share a buffer. Ann. Appl. Probab. 8(4) 1070-1129.
    • (1998) Ann. Appl. Probab , vol.8 , Issue.4 , pp. 1070-1129
    • Ramanan, K.1    Dupuis, P.2
  • 31
    • 28544441786 scopus 로고    scopus 로고
    • Large deviations without principle: Join the shortest queue
    • Ridder, A., A. Shwartz. 2005. Large deviations without principle: Join the shortest queue. Math. Methods Oper. Res. 62(3) 467-483.
    • (2005) Math. Methods Oper. Res , vol.62 , Issue.3 , pp. 467-483
    • Ridder, A.1    Shwartz, A.2
  • 33
    • 38549170203 scopus 로고    scopus 로고
    • Turner, S. R. E. 2000. Large deviations for join the shorter queue. D. R. McDonald, S. R. E. Turner, eds. Analysis of Communication Networks: Call Centres, Traffic and Performance (Toronto, Ontario, 1998), 28, Fields Institute Communications. American Mathematical Society, Providence, RI, 95-108.
    • Turner, S. R. E. 2000. Large deviations for join the shorter queue. D. R. McDonald, S. R. E. Turner, eds. Analysis of Communication Networks: Call Centres, Traffic and Performance (Toronto, Ontario, 1998), Vol. 28, Fields Institute Communications. American Mathematical Society, Providence, RI, 95-108.


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