Queueing Systems

, Volume 4, Issue 4, pp 287–317

The problem of stability in queueing theory

  • S. T. Rachev
Invited Paper

DOI: 10.1007/BF01159470

Cite this article as:
Rachev, S.T. Queueing Syst (1989) 4: 287. doi:10.1007/BF01159470

Abstract

The stability problem in queueing theory is concerned with the continuity of the mappingF from the setU of the input flows into the setV of the output flows. First, using the theory of probability metrics we estimate the modulus ofF-continuity providing thatU andV have structures of metric spaces. Then we evaluate the error terms in the approximation of the input flows by simpler ones assuming that we have observed some functionals of the empirical input flows distributions.

Keywords

Stability and continuity of queueing modelsprobability metricsmoment and marginal problems

Copyright information

© J.C. Baltzer A.G. Scientific Publishing Company 1989

Authors and Affiliations

  • S. T. Rachev
    • 1
  1. 1.Statistics and Applied Probability ProgramUniversity of California at Santa BarbaraSanta BarbaraUSA