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.
Similar content being viewed by others
References
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).
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.
H. Bruneel, Analysis of an infinite buffer system with random server interruptions, Comput. & Oper. Res. 11, 4 (1984) 373–386.
H. Bruneel, A general treatment of discrete-time buffers with one randomly interrupted output line, European Journal of Oper. Res. 27 (1986) 67–81.
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.
F.D. Gakhov,Boundary Value Problems (Pergamon Press, 1966).
J.N. Lyness and L.M. Delves, On numerical contour integration round a closed contour, Mathematics of Computation 21, 4 (1967) 561–577.
J.D. Oeting, An analysis of meteor-burst communications for military applications, IEEE Trans. Comm., COM-28, 9 (1980) 1591–1601.
Author information
Authors and Affiliations
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
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
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01159085