Mathematical and Simulation Model for Reliability Analysis of a Heterogeneous Redundant Data Transmission System

Abstract

In the actual study, we carried out a reliability analysis of a repairable redundant data transmission system with the use of the elaborated mathematical and simulation model of a closed heterogeneous cold standby system. The system consists of one repair unit and two different data sources with an exponential cumulative distribution function (CDF) of their uptime and a general independent CDF of their repair time. We consider five special cases of the general independent CDF; including Gamma, Weibull-Gnedenko, Exponential, Lognormal and Pareto. We study the system-level reliability, defined as the steady-state probability (SSP) of failure-free system operation. The proposed analytical methodology made it possible to assess the reliability of the whole system in the event of failure of its components. Specific analytic expressions and asymptotic valuations are obtained for the steady-state probabilities of the system and the SSP of failure-free system operation. A simulation model of the system in cases where it is not workable to obtain expressions for the steady-state probabilities of the system in an explicit analytical form was considered, in particular for constructing the empirical system reliability function. The issue of sensitivity analysis of reliability characteristics of the considered system to the types of repair time distributions was also studied. The simulation modeling was done with the R statistics package.

A Combinatorial Model for Determining Information Loss in Organizational and Technical Systems

“…This behavior of the system is close to the phenomena of systemic hysteresis described in the literature [20][21][22]. The use of the combinatorial model given in the article, in contrast to the models described in [1][2][3][4][5][6][7] and others, develops a set-theoretic representation of systems for solving problems related to the study of the functioning of systems under destructive conditions and external influences, namely with the minimization of information losses in the system. The presented model, in our opinion, is invariant to the subject area, since it uses only a multiple representation of the structure, which is not directly related to the functionality of the system.…”

“…The approaches presented in [1][2][3][4][5][6][7]for constructing models of complex dynamical systems have a number of disadvantages. For example, in [4,7], the presented approach to building a model is applicable only in the case of the availability of statistical data on the functioning of the system and does not take into account the information component of the processes in the system. The papers [1][2][3]5,6] also do not consider issues related to the assessment of information losses in the system due to external destructive influences.…”

Novel Analysis between Two-Unit Hot and Cold Standby Redundant Systems with Varied Demand

“…Sultan and Moshref [9] discussed a standby system under preventative maintenance. Houankpo and Kozyrev [10] proposed a simulation model for the data transmission system. After that, Taneja and Naveen [11] discussed two stochastic models by bringing up the concepts of modesty and machine inaccessibility without a repairer.…”