메뉴 건너뛰기




Volumn 11, Issue 3, 2001, Pages 569-607

Join the shortest queue: Stability and exact asymptotics

Author keywords

Change of measure; H transform; Join the shortest queue; Rare events

Indexed keywords


EID: 0035413559     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1015345342     Document Type: Article
Times cited : (126)

References (20)
  • 2
    • 0033474697 scopus 로고    scopus 로고
    • Large deviations and queueing networks: Methods for rate function identification
    • ATAR, R. and DUPUIS, P. (1999). Large deviations and queueing networks: methods for rate function identification. Stochastic Process. Appl. 84 255-296.
    • (1999) Stochastic Process. Appl. , vol.84 , pp. 255-296
    • Atar, R.1    Dupuis, P.2
  • 3
    • 0032362691 scopus 로고    scopus 로고
    • On large deviations in load sharing networks
    • ALANYALI, M. and HAJEK, B. (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
  • 4
    • 0032389503 scopus 로고    scopus 로고
    • On large deviations of Markov processes with discontinuous statistics
    • ALANYALI, M. and HAJEK, B. (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
  • 5
    • 0001392225 scopus 로고
    • Conditioned limit theorems relating a random walk to its associate, with applications to risk reserve processes and the GI/G/1 queue
    • ASMUSSEN, S. (1982). Conditioned limit theorems relating a random walk to its associate, with applications to risk reserve processes and the GI/G/1 queue. Adv. in Appl. Probab. 14 143-170.
    • (1982) Adv. in Appl. Probab. , vol.14 , pp. 143-170
    • Asmussen, S.1
  • 8
    • 0032340651 scopus 로고    scopus 로고
    • On the stability of a partially accessible multi-station queue with state-dependent routing
    • CHERNOVA, N. and FOSS, S. (1998). On the stability of a partially accessible multi-station queue with state-dependent routing. Questa 29 55-73.
    • (1998) Questa , vol.29 , pp. 55-73
    • Chernova, N.1    Foss, S.2
  • 9
    • 0000215977 scopus 로고
    • The large deviation principle for a general class of queueing systems I
    • DUPUIS, P. and ELLIS, R. S. (1995). The large deviation principle for a general class of queueing systems I. Trans. Amer. Math. Soc. 8 2689-2751.
    • (1995) Trans. Amer. Math. Soc. , vol.8 , pp. 2689-2751
    • Dupuis, P.1    Ellis, R.S.2
  • 11
    • 0001661229 scopus 로고
    • Renewals theory for functionals of a Markov chain with general state space
    • KESTEN, H. (1974). Renewals theory for functionals of a Markov chain with general state space, Ann. Probab. 2 355-386.
    • (1974) Ann. Probab. , vol.2 , pp. 355-386
    • Kesten, H.1
  • 14
    • 0033445604 scopus 로고    scopus 로고
    • Asymptotics of first passage times for random walk in a quadrant
    • MCDONALD, D. (1999). Asymptotics of first passage times for random walk in a quadrant. Ann. Appl. Probab. 9 110-145.
    • (1999) Ann. Appl. Probab. , vol.9 , pp. 110-145
    • McDonald, D.1
  • 17
    • 0000837351 scopus 로고
    • Induced rare events: Analysis via large deviations and time reversal
    • SHWARTZ, A. and WEISS, A. (1993). Induced rare events: analysis via large deviations and time reversal. Adv. Appl. Probab. 25 667-689.
    • (1993) Adv. Appl. Probab. , vol.25 , pp. 667-689
    • Shwartz, A.1    Weiss, A.2
  • 19
    • 0141546977 scopus 로고    scopus 로고
    • Large deviations for join the shorter queue
    • (D. McDonald and S. R. E. Turner, eds.) Fields Institute Communications
    • TURNER, S. R. E. (1996). Large deviations for join the shorter queue. In Analysis of Networks: Communication, Call Centres, Traffic, and Performance (D. McDonald and S. R. E. Turner, eds.) 95-108. Fields Institute Communications.
    • (1996) Analysis of Networks: Communication, Call Centres, Traffic, and Performance , pp. 95-108
    • Turner, S.R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.