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Volumn 49, Issue 1, 2005, Pages 73-84

Services within a busy period of an M/M/1 queue and dyck paths

Author keywords

Busy period; Dyck paths; M M 1 queue

Indexed keywords

SALES;

EID: 17644375840     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1007/s11134-004-5556-6     Document Type: Article
Times cited : (7)

References (12)
  • 2
    • 0001104312 scopus 로고
    • The output of a queueing system
    • P. Burke, The output of a queueing system, Oper. Res. 4 (1956) 699-704.
    • (1956) Oper. Res. , vol.4 , pp. 699-704
    • Burke, P.1
  • 4
    • 0034266828 scopus 로고    scopus 로고
    • The formal theory of birth-and-death processes, lattice path combinatorics, and continued fractions
    • P. Flajolet and F. Guillemin, The formal theory of birth-and-death processes, lattice path combinatorics, and continued fractions, Adv. in Appl. Probab. 32 (2000) 750-778.
    • (2000) Adv. in Appl. Probab. , vol.32 , pp. 750-778
    • Flajolet, P.1    Guillemin, F.2
  • 6
    • 0032339352 scopus 로고    scopus 로고
    • On the area swept under the occupation process of an M/M/1 queue in a busy period
    • F. Guillemin and D. Pinchon, On the area swept under the occupation process of an M/M/1 queue in a busy period, Queueing Systems 29(2-4) (1998) 383-398.
    • (1998) Queueing Systems , vol.29 , Issue.2-4 , pp. 383-398
    • Guillemin, F.1    Pinchon, D.2
  • 7
    • 0001641416 scopus 로고
    • Waiting times when queues are in tandem
    • E. Reich, Waiting times when queues are in tandem, Ann. Math. Statist. 28 (1957) 527-530.
    • (1957) Ann. Math. Statist. , vol.28 , pp. 527-530
    • Reich, E.1
  • 8
    • 3543098684 scopus 로고    scopus 로고
    • Réseaux et files d'attente: Méthodes probabilistes
    • Springer, Paris
    • P. Robert, Réseaux et files d'attente: Méthodes probabilistes, in: Mathématiques & Applications, Vol. 35 (Springer, Paris, 2000).
    • (2000) Mathématiques & Applications , vol.35
    • Robert, P.1
  • 10
    • 0003652674 scopus 로고    scopus 로고
    • Cambridge Studies in Advanced Mathematics, (Cambridge Univ. Press, Cambridge)
    • R. Stanley, Enumerative Combinatorics, Vol. 2, Cambridge Studies in Advanced Mathematics, Vol. 62 (Cambridge Univ. Press, Cambridge, 1999).
    • (1999) Enumerative Combinatorics , vol.2-62
    • Stanley, R.1
  • 11
    • 0004010081 scopus 로고
    • University Texts in the Mathematical Sciences (Oxford Univ. Press, Oxford)
    • L. Takács, Introduction to the Theory of Queues, University Texts in the Mathematical Sciences (Oxford Univ. Press, Oxford, 1962).
    • (1962) Introduction to the Theory of Queues
    • Takács, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.