Ergodicity Bounds and Limiting Characteristics for a Modified Prendiville Model

Abstract

We consider the time-inhomogeneous Prendiville model with failures and repairs. The property of weak ergodicity is considered, and estimates of the rate of convergence for the main probabilistic characteristics of the model are obtained. Several examples are considered showing how such estimates are obtained and how the limiting characteristics themselves are constructed.

Keywords

• bounds on the rate of convergence
• C-matrix method
• limiting regime
• logarithmic norm method
• perturbation bounds
• Prendiville Model