Evaluating the contribution of nonmonotone trajectories to the failure of a queuing system in a busy period
Source: Cybernetics and Systems Analysis, Volume 47, Number 4, July 2011 , pp. 506-514(9)
Abstract:A queuing system with the service time distribution being a mixture of two exponential distributions is considered. A necessary and sufficient condition is established for the probability of failure during a busy period to be equivalent to the probability of monotone failure. Conditions under which nonmonotone failures make the major contribution to the system failure are also obtained. These conditions are compared to the well-known sufficient conditions.
Document Type: Research Article
Affiliations: 1: V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine, Email: firstname.lastname@example.org 2: V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine, Email: Nkuznetsov2004@jandex.ru
Publication date: July 1, 2011