The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
On Queues in Heavy Traffic
Abstract
SUMMARY: We say that a single server queue is in “heavy traffic” when the traffic intensity p is less than, but very near, unity. Then the equilibrium waiting time w will be large, and it is proved that, under certain conditions, the distribution of (1 – p)w tends, as p tends to 1, to a negative exponential distribution. The conditions under which this result holds are fairly weak, and, in particular, it is not necessary to make the assumption of independent inter-arrival times.
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Citations
Cites
Loève, M. (1963) · Andalas University Repository (Andalas University) · Cited by 5,938
The theory of queues with a single server
Lindley, D. V. (1952) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100027638 · Cited by 875
Some Problems in the Theory of Queues
Kendall, D. G. (1951) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1951.tb00080.x · Cited by 651
Sur l'extension du th�or�me limite du calcul des probabilit�s aux sommes de quantit�s d�pendantes
Bernstein, S. (1927) · Mathematische Annalen · doi:10.1007/bf01447859 · Cited by 242
Cited by
Telephone Call Centers: Tutorial, Review, and Research Prospects
Gans, N., Koole, G., & Mandelbaum, A. (2003) · Manufacturing & Service Operations Management · doi:10.1287/msom.5.2.79.16071 · Cited by 1,360
Statistical Analysis of a Telephone Call Center: A Queueing-Science Perspective
Brown, L., Gans, N., Mandelbaum, A., Sakov, A., Shen, H., Zeltyn, S., & Zhao, L. (2005) · Journal of the American Statistical Association · doi:10.1198/016214504000001808 · Cited by 802
Making a meaningful contribution to theory
Boer, H., Holweg, M., Kilduff, M., Pagell, M., Schmenner, R., & Voss, C. (2015) · International Journal of Operations & Production Management · doi:10.1108/ijopm-03-2015-0119 · Cited by 122
Metadata
- Authors
- Kingman, J. F. C.
- Venue
- Journal of the Royal Statistical Society Series B: Statistical Methodology
- Publisher
- Oxford University Press (OUP)
- Published
- 1962-07-01
- Volume
- 24
- Issue
- 2
- Pages
- 383-392
- ISSN
- 1369-7412 (ISSN-L)
- 1467-9868
- OpenAlex
- W2516950796
- Cited by
- 339
- References
- 4
- FWCI
- 13.48
- Type
- journal article
- Language
- en
- Open access
- closed
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- Kingman, J. F. C. (1962). On Queues in Heavy Traffic. Journal of the Royal Statistical Society Series B: Statistical Methodology. https://doi.org/10.1111/j.2517-6161.1962.tb00465.x
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
