Skip to main content
SpringerLink
Log in

A Discrete-Time Queue with State-Dependent Arrivals

  • Conference paper
DGOR/NSOR

Part of the book series: Operations Research Proceedings ((ORP,volume 1987))

  • 135 Accesses

Summary

We study the queueing system Geometric/G/1/N with state-dependent arrival rates in discrete time. We develop a stable algorithm for computing the stationary waiting time distribution with respect to an entering customer.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.P. Claude, D. Seret, Files d’attente et processus discrets in: N. Abu El Ata (ed.), Modelling Techniques and Tools for Performance Analysis, 101–112 North-Holland, Amsterdam-New York-Oxford 1986.

    Google Scholar 

  2. R.A. Marie, J.M. Pellaumail, Steady-State Probabilities for a Queue with a General Service Distribution and State-Dependent Arrivals IEEE Trans. on Software Engineering 9 (1983), 109–113.

    Article  Google Scholar 

  3. M.F. Neuts, Computational Uses of the Method of Phases in the Theory of Queues Comp. and Maths. with Appls. 1 (1975), 151–166.

    Google Scholar 

  4. H.C. Tijms, Stochastic Modeling and Analysis J. Wiley, New York 1986.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Konstanz, Germany

    Manfred Kramer

Authors
  1. Manfred Kramer
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Fachbereich Mathematik, Technische Hochschule Darmstadt, Schloßgartenstraße 7, D-6100, Darmstadt, Deutschland

    Helmut Schellhaas

  2. Department of Mathematics, Agricultural University Wageningen, De Dreijen 8, NL-6703 BC, Wageningen, The Netherlands

    Paul van Beek

  3. Fachbereich Wirtschaftswissenschaft, Johann Wolfgang Goethe-Universität Frankfurt, Mertonstraße 17, D-6000, Frankfurt, Deutschland

    Heinz Isermann

  4. Institut für Betriebswirtschaftslehre, Christian-Albrechts-Universität Kiel, Olshausenstraße 40, D-2300, Kiel, Deutschland

    Reinhart Schmidt

  5. Centre for Quantitative Methods, Nederlandse Philips Bedrijven B.V., P.O. Box 218, NL-5600 MD, Eindhoven, The Netherlands

    Mynt Zijlstra

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kramer, M. (1988). A Discrete-Time Queue with State-Dependent Arrivals. In: Schellhaas, H., van Beek, P., Isermann, H., Schmidt, R., Zijlstra, M. (eds) DGOR/NSOR. Operations Research Proceedings, vol 1987. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73778-7_124

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-73778-7_124

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19365-4

  • Online ISBN: 978-3-642-73778-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation