Skip to main content
SpringerLink
Log in

The service Erlangian machine interference model:M/E r /1k/N with balking and reneging

  • Published:
Journal of Applied Mathematics and Computing Aims and scope Submit manuscript

Abstract

The aim of this paper is to derive the analytical solution of the quene:M/E r /1/k/N for machine interference system with balking and reneging considering the discipline FIFO. Some measures of effectiveness and some special cases are obtained.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Al-Seedy, R. O. and Al-Ibraheem, F. M.,An interarrival hyperexponential machine interference with balking, reneging, state-dependent, spares and an additional server for longer queues, IJMMS12 (2001), 737–747.

    MathSciNet  Google Scholar 

  2. Bunday, B. D.,An introduction to queueing theory, John Wiley, New York, 1996.

    MATH  Google Scholar 

  3. Gross, D. and Harris, G. M.,Fundamentals of queueing theory, John Wiley, New York, 1974.

    MATH  Google Scholar 

  4. Kleinrock, L.,Queueing systems, Vol. 1, John Wiley, New York, 1975.

    MATH  Google Scholar 

  5. Medhi, J.,Stochastic models in queueing theory, Academic Press, New York, 1991.

    MATH  Google Scholar 

  6. Shawky, A. I.,The single-server machine interference model with balking, reneging and an additional server for longer queues, Microelectron. Reliab.37(2) (1997), 355–357.

    Article  Google Scholar 

  7. Shawky, A. I.,The machine interference model: M/M/c/k/N with balking, reneging and spares, Opsearch37 (2000), 25–35.

    MATH  MathSciNet  Google Scholar 

  8. Shawky, A. I.,An interarrival hyperexponential machine interference model: H r /M/c/k/N with balking and reneging, Comm. Korean Math. Soc.16 (2001), 659–666.

    MATH  MathSciNet  Google Scholar 

  9. Shawky, A. I.,The machine interference model with bulk arrivals and hyperexponential service time distribution: M x/H r /1/k/N with balking and reneging, Submitted for Publication, 2004.

  10. White, J. A., Schmidt, J. W. and Bennett, G. K.,Analysis of queueing systems, Academic Press, New York, 1975.

    Google Scholar 

Download references

Author information

Author notes

  1. A. I. Shawky

    Present address: Girls College of Education, P. O. Box 19043, 21435, Jeddah, Sandi Arabia

Authors and Affiliations

  1. Faculty of Engineering at Shoubra, El-Maadi, P. O. Box 1206, 11728, Cairo, Egypt

    A. I. Shawky

Authors
  1. A. I. Shawky
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. I. Shawky.

Additional information

A. I. Shawky received his Ph. D. at Tanta University, Egypt, in 1992 in Mathematical Statistics. Since 1992 he has been working at the Faculty of Engineering at Shoubra, Egypt. His research interests focus on The Theory of Queues, Reliability Theory and Characterization of Distributions.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shawky, A.I. The service Erlangian machine interference model:M/E r /1k/N with balking and reneging. JAMC 18, 431–439 (2005). https://doi.org/10.1007/BF02936585

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02936585

AMS Mathematics Subject Classification

Key words and phrases

Search

Navigation