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Volumn 32, Issue 2, 2000, Pages 564-595

The multiclass GI/PH/N queue in the Halfin-Whitt regime

Author keywords

Call centers; Diffusion approximation; Heavy traffic; Multiserver queues; Priority queues; Weak convergence

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; CONVERGENCE OF NUMERICAL METHODS; INTEGRAL EQUATIONS; POISSON DISTRIBUTION; PROBABILITY DISTRIBUTIONS; THEOREM PROVING;

EID: 0034207369     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1013540179     Document Type: Article
Times cited : (90)

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    • (in Danish). [English translation: P.O. Elec. Eng. J. 10, 189197,1917-1918.]
    • ERLANG, A. K. (1917). Solutions of some problems in the theory of probabilities of significance in automatic telephone exchanges. Electroteknikeren 13, 5-13 (in Danish). [English translation: P.O. Elec. Eng. J. 10, 189197,1917-1918.]
    • (1917) Electroteknikeren , vol.13 , pp. 5-13
    • Erlang, A.K.1
  • 7
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    • Heavy-traffic limits for queues with many exponential servers
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    • (1981) Operat. Res. , vol.29 , pp. 567-588
    • Halfin, S.1    Whitt, W.2
  • 8
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    • IGLEHART, D. L. (1965). Limit diffusion approximations for the many server queue and the repairman problem. J. Appl. Prob. 2, 429-441.
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  • 9
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  • 10
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    • Multiple channel queues in heavy traffic, II: Sequences, networks, and batches
    • IGLEHART, D. L. and WHITT, W. (1970). Multiple channel queues in heavy traffic, II: Sequences, networks, and batches. Adv. Appl. Prob. 2, 355-364.
    • (1970) Adv. Appl. Prob. , vol.2 , pp. 355-364
    • Iglehart, D.L.1    Whitt, W.2
  • 14
    • 0032264872 scopus 로고    scopus 로고
    • Strong approximations for Markovian service networks
    • MANDELBAUM, A., MASSEY, W. A. and Reiman, M. (1998). Strong approximations for Markovian service networks. Queueing Systems 30, 149-201.
    • (1998) Queueing Systems , vol.30 , pp. 149-201
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    • PUHALSKII, A. (1994). On the invariance principle for the first passage time. Math. Operat.Res. 19, 946-954.
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    • Some useful functions for functional limit theorems
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    • (1980) Math. Operat Res. , vol.5 , pp. 67-85
    • Whitt, W.1
  • 18
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.