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Single server queueing system with Poisson input: A review of some recent developments. (English) Zbl 0894.60092
Balakrishnan, N. (ed.), Advances in combinatorial methods and applications to probability and statistics. Boston, MA: Birkhäuser. Statistics for Industry and Technology. 317-338 (1997).
Summary: The classical single-server queue with Poisson input has been extended to include several types of generalizations, to which attention has been paid by several researchers. It would be worthwhile to look into some sort of unified approach of the results of several models. It is also of interest to investigate a few important performance measures through heuristic mean value analysis’ only without looking through the Laplacian Curtain’. The purpose of this paper is to make a comprehensive survey of many interesting results that have appeared recently with a view to unify the results and to derive some new ones. The review is based on recent contributions as listed in the references. For the entire collection see [Zbl 0865.00053].

##### MSC:
 60K25 Queueing theory 90B22 Queues and service (optimization)
##### Keywords:
threshold policy; vacations; residual distribution