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Volumn 31, Issue 1-2, 1999, Pages 25-42

Numerical approximations for the steady-state waiting times in a GI/G/1 queue

Author keywords

Approximations; Fredholm integral equations; Gauss Legendre quadrature; GI G 1 queue; Waiting times

Indexed keywords

INTEGRAL EQUATIONS; LINEAR SYSTEMS; QUEUEING THEORY;

EID: 0033242761     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1023/a:1019141726982     Document Type: Article
Times cited : (9)

References (27)
  • 1
    • 0018924241 scopus 로고
    • Computing the waiting time distribution for the G/G/1 queue by signal processing methods
    • M.H. Ackroyd, Computing the waiting time distribution for the G/G/1 queue by signal processing methods, IEEE Trans. Commun. 28 (1980) 52-58.
    • (1980) IEEE Trans. Commun. , vol.28 , pp. 52-58
    • Ackroyd, M.H.1
  • 5
    • 0001097109 scopus 로고
    • Exact and approximate numerical solutions of steady-state distributions arising in the queue GI/G/1
    • M.L Chaudhry, M. Agarwal and J.G.C. Templeton, Exact and approximate numerical solutions of steady-state distributions arising in the queue GI/G/1, Queueing Systems 10 (1992) 105-152.
    • (1992) Queueing Systems , vol.10 , pp. 105-152
    • Chaudhry, M.L.1    Agarwal, M.2    Templeton, J.G.C.3
  • 6
    • 0001898156 scopus 로고
    • Inequalities concerning the waiting time in single server queues: A survey
    • eds. U.N. Bhatt and I.V. Basawa Clarendon Press, Oxford
    • D.J. Daley, A.Y. Kreinin and C.D. Trengove, Inequalities concerning the waiting time in single server queues: A survey, in: Queueing and Related Models, eds. U.N. Bhatt and I.V. Basawa (Clarendon Press, Oxford, 1992) pp. 177-223.
    • (1992) Queueing and Related Models , pp. 177-223
    • Daley, D.J.1    Kreinin, A.Y.2    Trengove, C.D.3
  • 7
    • 0022711763 scopus 로고
    • An algorithm to compute the equilibrium distribution of a one-dimensional bounded random walk
    • M.J. Fryer and C.B. Winsten, An algorithm to compute the equilibrium distribution of a one-dimensional bounded random walk, Oper. Res. 34 (1986) 449-454.
    • (1986) Oper. Res. , vol.34 , pp. 449-454
    • Fryer, M.J.1    Winsten, C.B.2
  • 8
    • 0024480572 scopus 로고
    • Numerical solutions of the waiting time distribution and idle time distribution of the arithmetic GI/G/1 queue
    • W.K. Grassmann and J.L. Jain, Numerical solutions of the waiting time distribution and idle time distribution of the arithmetic GI/G/1 queue, Oper. Res. 37 (1989) 141-150.
    • (1989) Oper. Res. , vol.37 , pp. 141-150
    • Grassmann, W.K.1    Jain, J.L.2
  • 10
    • 0021862242 scopus 로고
    • A note on mixed exponential approximation for GI/G/1 waiting times
    • C.M. Harris, A note on mixed exponential approximation for GI/G/1 waiting times, Comput. Oper. Res. 36 (1985) 285-289.
    • (1985) Comput. Oper. Res. , vol.36 , pp. 285-289
    • Harris, C.M.1
  • 13
    • 0000243672 scopus 로고
    • An elementary solution of the queueing system GI/G/1
    • A.G. Konheim, An elementary solution of the queueing system GI/G/1, SIAM J. Comput. 4 (1975) 540-545.
    • (1975) SIAM J. Comput. , vol.4 , pp. 540-545
    • Konheim, A.G.1
  • 14
    • 84959640781 scopus 로고
    • The theory of queues with a single server
    • D.V. Lindley, The theory of queues with a single server, Proc. Camb. Phil. Soc. 48 (1952) 277-289.
    • (1952) Proc. Camb. Phil. Soc. , vol.48 , pp. 277-289
    • Lindley, D.V.1
  • 17
    • 84995069555 scopus 로고
    • Theory and solution of a discrete queueing problem
    • J. Ponstein, Theory and solution of a discrete queueing problem, Statist. Neerlandica 20 (1974) 139-152.
    • (1974) Statist. Neerlandica , vol.20 , pp. 139-152
    • Ponstein, J.1
  • 20
    • 0009212807 scopus 로고
    • An experimental evaluation of the matrix-geometric method for the GI/PH/1 queue
    • V. Ramaswami and G. Latouche, An experimental evaluation of the matrix-geometric method for the GI/PH/1 queue, Comm. Statist. Stochastic Models 5 (1989) 629-667.
    • (1989) Comm. Statist. Stochastic Models , vol.5 , pp. 629-667
    • Ramaswami, V.1    Latouche, G.2
  • 21
    • 84872994027 scopus 로고    scopus 로고
    • Ph.D. dissertation, Industrial Engineering Department, Texas A&M University, College Station, TX
    • B.V. Rao, Approximations for waiting times in queueing systems, Ph.D. dissertation, Industrial Engineering Department, Texas A&M University, College Station, TX (1996).
    • (1996) Approximations for Waiting Times in Queueing Systems
    • Rao, B.V.1
  • 24
    • 0009277203 scopus 로고
    • A review of numerical methods for Fredholm equations of the second kind
    • eds. R.S. Anderssen, F.R. de Hogg and M.A. Lukas Sijthoff & Noordhoff, Alphen aan den Rija
    • I.H. Sloan, A review of numerical methods for Fredholm equations of the second kind, in: The Application and Numerical Solution of Integral Equations, eds. R.S. Anderssen, F.R. de Hogg and M.A. Lukas (Sijthoff & Noordhoff, Alphen aan den Rija, 1980) pp. 51-74.
    • (1980) The Application and Numerical Solution of Integral Equations , pp. 51-74
    • Sloan, I.H.1
  • 26
    • 0022564931 scopus 로고
    • Numerical analysis of multi-server queues with deterministic service and phase-type arrivals
    • M.H. van Hoorn, Numerical analysis of multi-server queues with deterministic service and phase-type arrivals, Z. Oper. Res. 30A (1986) 15-28.
    • (1986) Z. Oper. Res. , vol.30 A , pp. 15-28
    • Van Hoorn, M.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.