Sensitivity analysis of steady state reliability characteristics of a repairable cold standby data transmission system to the shapes of lifetime and repair time distributions of its elements

Hector G.K. Houankpo, Dmitry V. Kozyrev

Research output: Contribution to journalConference articlepeer-review

7 Citations (Scopus)

Abstract

Continuous development of computer networks and data transmission systems emphasizes the increasing need for adequate mathematical models and tools that allow for the study of their performance and reliability. We consider the problem of sensitivity analysis of reliability characteristics of a repairable cold standby data transmission system with exponential life time and general repair time distributions to shapes of the input distributions. The simulation model based on the discreteevent approach is introduced to obtain results in case of a general (non-exponential) distribution of repair time of the elements. There are several approaches to model the reliability of systems with general life- And repair times distributions. Anyhow all of them are reduced to markovization of the process that describes the system behavior [1]. The proposed analytical methodology allows to assess system-level reliability in case of failures of system elements. Explicit analytical expressions were obtained for the stationary probability distribution of system states, which enable to analyze other operational variables of the system with respect to the redundant element's performance. The demonstrated analytical and simulation results show excellent asymptotic insensitivity of the stationary reliability of the system under "fast" recovery of its elements to the type of repair time distribution. Comparison of numerical and graphical results obtained using both analytical and simulation approaches, shows that they have close agreement, so the elaborated simulation model can be used in cases when explicit analytical solution can not be achieved, or as a part of a more complex simulation model.

Original languageEnglish
Pages (from-to)107-113
Number of pages7
JournalCEUR Workshop Proceedings
Volume1995
Publication statusPublished - 2017
Event7th International Conference "Information and Telecommunication Technologies and Mathematical Modeling of High-Tech Systems", ITTMM 2017 - Moscow, Russian Federation
Duration: 24 Apr 2017 → …

Keywords

  • Mathematical modeling and simulation
  • Sensitivity
  • Steady state probabilities
  • System reliability

Cite this