Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900259 | Journal of Mathematical Analysis and Applications | 2018 | 18 Pages |
Abstract
A Markovian single-server queueing model with Poisson arrivals and state-dependent service rates, characterized by a logarithmic steady-state distribution, is considered. The Laplace transforms of the transition probabilities and of the densities of the first-passage time to zero are explicitly evaluated. The performance measures are compared with those ones of the well-known M/M/1 queueing system. Finally, the effect of catastrophes is introduced in the model and the steady-state distribution, the asymptotic moments and the first-visit time density to zero state are determined.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
V. Giorno, A.G. Nobile, E. Pirozzi,