The stability problem in queueing theory is concerned with the continuity of the mapping F from the set U of the input flows into the set V of the output flows. First, using the theory of probability metrics we estimate the modulus of F-continuity providing that U and V 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.
- Stability and continuity of queueing models
- moment and marginal problems
- probability metrics