This article is cited in 2 papers

Bayesian queueing and reliabilitymodels: characteristics of mean number of claims in the system $M|M|1|\infty$

A. A. Kudriavtsev^a, S. Ya. Shorgin<sup>b

a</sup> M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
^b Institute for Problems of Informatics RAS

Abstract: The paper is a continuation of the series of papers devoted to Bayesian queuing and reliability models investigation. The probability characteristics of mean number of claims in the system $M|M|1|\infty$ under conditions of input flow and service parameters randomization are considered. The paper includes the discussion of the obtained results interpretation taking into account that the mean number of claims distribution may be improper.

Keywords: Bayesian approach; queueing systems; reliability; mixed distributions; modeling; improper distribution; “defective” distribution.