Concepedia

Many-server Queue Asymptotics

Many-Server Queue Asymptotics is a mathematical framework in queueing theory that characterizes the limiting behavior of queueing systems with a large number of servers under heavy-traffic conditions, distinguishing itself by scaling the number of servers and arrival rates jointly to study performance metrics in asymptotic regimes.

54

Publications

2.7K

Citations

78

Authors

55

Institutions

Publications per year

2017–2026

5

Parents

Publications

54

Call Centers with Impatient Customers: Many-Server Asymptotics of the M/M/n + G Queue

Sergey Zeltyn, Avishai Mandelbaum · Queueing Systems · 2005 · 281 citations

, , +13

Extreme Values in the GI/G/1 Queue

Donald L. Iglehart · The Annals of Mathematical Statistics · 1972 · 244 citations · Full text

, , +16

A Many-Server Queue with Service Interruptions

I. L. Mitrany, Benjamin Avi-Itzhak · Operations Research · 1968 · 213 citations

, , +16

Buffer overflow asymptotics for a buffer handling many traffic sources

Costas Courcoubetis, Richard Weber · Journal of Applied Probability · 1996 · 203 citations

, , +17

Scheduling a multi class queue with many exponential servers: asymptotic optimality in heavy traffic

Rami Atar, Avi Mandelbaum, Martin I. Reiman · The Annals of Applied Probability · 2004 · 149 citations · Full text

, , +16

1–5 of 54

Authors

78

  1. AM
    Avishai Mandelbaum

    Technion – Israel Institute of Technology, Israel

    5 publications · 516 citations

    5

    h-index

  2. JG
    J. G. Dai

    Georgia Institute of Technology, United States

    3 publications · 206 citations

    3

    h-index

  3. RA
    Rami Atar

    Technion – Israel Institute of Technology, Israel

    3 publications · 221 citations

    3

    h-index

  4. XL
    Xin Liu

    Arizona State University, United States

    3 publications · 69 citations

    3

    h-index

  5. CK
    Charles Knessl

    University of Illinois Chicago, United States

    3 publications · 34 citations

    3

    h-index

1–5 of 78

Institutions

55

  1. Technion – Israel Institute of Technology

    Haifa, Israel

    9 h-index

    15 publications

    1.8K citations

  2. University of Twente

    Enschede, The Netherlands

    4 h-index

    5 publications

    158 citations

  3. Georgia Institute of Technology

    Atlanta, United States

    4 h-index

    5 publications

    328 citations

  4. Eindhoven University of Technology

    Eindhoven, The Netherlands

    4 h-index

    4 publications

    88 citations

  5. Columbia University

    New York, United States

    3 h-index

    6 publications

    136 citations

  6. University of Illinois Chicago

    Chicago, United States

    3 h-index

    4 publications

    44 citations

  7. University of Cambridge

    Cambridge, United Kingdom

    3 h-index

    4 publications

    302 citations

  8. University of Michigan

    Ann Arbor, United States

    3 h-index

    6 publications

    127 citations

1–8 of 55

Venues

  1. Mathematics of Operations Research

    9 publications · 505 citations

    9

    h-index

  2. Journal of Applied Probability

    JAP · 8 publications · 423 citations

    8

    h-index

  3. Queueing Systems

    7 publications · 467 citations

    7

    h-index

  4. The Annals of Applied Probability

    5 publications · 288 citations

    5

    h-index

  5. Operations Research

    4 publications · 387 citations

    4

    h-index

1–5