Concepedia

Queue Length Generating Functions

Queue Length Generating Functions is a mathematical formalism in queueing theory that belongs to the class of generating functions and is specifically characterized by its ability to encode the probability distribution of the number of customers in a queue as a power series, thereby enabling the derivation of key performance metrics through analytic methods.

56

Publications

2K

Citations

91

Authors

59

Institutions

Publications per year

2017–2026

1

Parents

Publications

56

Multidimensional Transform Inversion with Applications to the Transient M/G/1 Queue

Gagan L. Choudhury, David M. Lucantoni, Ward Whitt · The Annals of Applied Probability · 1994 · 142 citations · Full text

, , +17

The generalized expansion method for open finite queueing networks

Laoucine Kerbachea, J. MacGregor Smith · European Journal of Operational Research · 1987 · 128 citations

, , +11

A Continuous Time Treatment of a Simple Queue using Generating Functions

Norman T. J. Bailey · Journal of the Royal Statistical Society Series B (Statistical Methodology) · 1954 · 122 citations

, , +13

The <i>M</i>/<i>G</i>/1 queue with negative customers

Peter G. Harrison, Edwige Pitel · Advances in Applied Probability · 1996 · 90 citations

, , +16

Asymptotic behavior of the expansion method for open finite queueing networks

Laoucine Kerbache, J MacGregor Smith · Computers & Operations Research · 1988 · 88 citations

, , +15

1–5 of 56

Authors

91

  1. UG
    Umesh Gupta

    Indian Institute of Technology Kharagpur, India

    5 publications · 95 citations

    5

    h-index

  2. JN
    John N. Daigle

    University of Mississippi, United States

    3 publications · 95 citations

    3

    h-index

  3. HW
    Ho Woo Lee

    Sungkyunkwan University, South Korea

    3 publications · 83 citations

    3

    h-index

  4. ML
    M. L. Chaudhry

    Royal Military College of Canada, Canada

    3 publications · 57 citations

    3

    h-index

  5. YL
    Y. Lee

    Mitre (United States), United States

    2 publications · 66 citations

    2

    h-index

1–5 of 91

Institutions

59

  1. Indian Institute of Technology Kharagpur

    Kharagpur, India

    5 h-index

    9 publications

    172 citations

  2. Sungkyunkwan University

    Seoul, South Korea

    3 h-index

    5 publications

    120 citations

  3. Royal Military College of Canada

    Kingston, Canada

    3 h-index

    3 publications

    57 citations

  4. Korea Advanced Institute of Science and Technology

    Daejeon, South Korea

    2 h-index

    4 publications

    102 citations

  5. Keele University

    Newcastle-under-Lyme, United Kingdom

    2 h-index

    2 publications

    21 citations

  6. Virginia Tech

    Blacksburg, United States

    2 h-index

    4 publications

    137 citations

  7. Electronics and Telecommunications Research Institute

    Daejeon, South Korea

    2 h-index

    2 publications

    77 citations

  8. AT&T (United States)

    Bedminster, United States

    2 h-index

    3 publications

    222 citations

1–8 of 59

Venues

  1. Journal of Applied Probability

    JAP · 6 publications · 174 citations

    6

    h-index

  2. Queueing Systems

    4 publications · 86 citations

    4

    h-index

  3. Stochastic Models

    4 publications · 114 citations

    4

    h-index

  4. Operations Research

    3 publications · 111 citations

    3

    h-index

  5. European Journal of Operational Research

    3 publications · 227 citations

    3

    h-index

1–5