Skip to main content
Log in

An intermittently served discrete time queue with applications to meteor scatter communications

  • Invited Paper
  • Published:
Queueing Systems Aims and scope Submit manuscript

Abstract

A discrete time single server queue with service interruptions is analyzed in the steady-state under general assumptions. The main motivation for the study is the performance evaluation of a communication protocol using ionized layers created by meteors. The analysis yields the joint distribution of the queue size and the remaining duration of the current operative or inoperative period. The solution takes a particularly simple form in the case where the operative periods have a rational generating function.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L.F. Abd-Ellal, L.M. Delves and J.K. Reid, A numerical method for locating the zeros and poles of a meromorphic function, in:Numerical Methods for Nonlinear Algebraic Equations, ed. P. Rabinowitz (Gordon and Breach, 1970).

  2. D.W. Brown, A physical meteor-burst propagation model and some significant results for communication system design,” IEEE J. on Selected Areas in Comm., SAC-3, 5 (1985) 745–755.

    Google Scholar 

  3. H. Bruneel, Analysis of an infinite buffer system with random server interruptions, Comput. & Oper. Res. 11, 4 (1984) 373–386.

    Google Scholar 

  4. H. Bruneel, A general treatment of discrete-time buffers with one randomly interrupted output line, European Journal of Oper. Res. 27 (1986) 67–81.

    Google Scholar 

  5. L.M. Delves and J.N. Lyness, A numerical method for locating the zeros of an analytic function, Mathematics of Computation 21, 4 (1967) 543–560.

    Google Scholar 

  6. F.D. Gakhov,Boundary Value Problems (Pergamon Press, 1966).

  7. J.N. Lyness and L.M. Delves, On numerical contour integration round a closed contour, Mathematics of Computation 21, 4 (1967) 561–577.

    Google Scholar 

  8. J.D. Oeting, An analysis of meteor-burst communications for military applications, IEEE Trans. Comm., COM-28, 9 (1980) 1591–1601.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

On short-term visits to the University of Newcastle upon Tyne and AT&T Bell Laboratories.

Work done while the author was visiting the AT&T Bell Laboratories.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Robert, P., Mitrani, I. & King, P.J.B. An intermittently served discrete time queue with applications to meteor scatter communications. Queueing Syst 3, 25–40 (1988). https://doi.org/10.1007/BF01159085

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01159085

Keywords

Navigation