Article

Reliability evaluation of multi-component cold-standby redundant systems

Graduate School of Engineering, Hiroshima University, Hirosima, Hiroshima, Japan
Applied Mathematics and Computation (Impact Factor: 1.6). 02/2006; 173(1):137-149. DOI: 10.1016/j.amc.2005.02.051
Source: DBLP

ABSTRACT A new methodology for the reliability evaluation of an l-dissimilar-unit non-repairable cold-standby redundant system is introduced in this paper. Each unit is composed of a number of independent components with generalized Erlang distributions of lifetimes, arranged in any general configuration. We also extend the proposed model to the general types of non-constant hazard functions. To evaluate the system reliability, we construct a directed stochastic network with exponentially distributed arc lengths, in which each path of this network corresponds with a particular minimal cut of the reliability graph of system. Then, we present an analytical method to solve the resulting system of differential equations and to obtain the reliability function of the standby system. The time complexity of the proposed algorithm is O(2n), which is much less than the standard state-space method with the complexity of O(3n2). Finally, we generalize the proposed methodology, in which the failure mechanisms of the components are different.

Download full-text

Full-text

Available from: Amir Azaron, Jan 15, 2014
0 Followers
 · 
299 Views
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: This paper studies a cold standby repairable system with two different components and one repairman who can take multiple vacations. If there is a component which fails and the repairman is on vacation, the failed component will wait for repair until the repairman is available. In the system, assume that component 1 has priority in use. After repair, component 1 follows a geometric process repair, while component 2 can be repaired as good as new after failures. Under these assumptions, a replacement policy N based on the failed times of component 1 is studied. The system will be replaced if the failure times of component 1 reach N. The explicit expression of the expected cost rate is given, so that the optimal replacement time N⁎ is determined. Finally, a numerical example is given to illustrate the theoretical results of the model.
    Reliability Engineering [?] System Safety 07/2011; 96(7):868-875. DOI:10.1016/j.ress.2011.02.004 · 2.05 Impact Factor
  • Source
    International Journal of Quality &amp Reliability Management 04/2015; 32(4). DOI:10.1108/IJQRM-04-2014-0047
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: In safety critical applications, it becomes common to improve the reliability through k-out-of-n redundancy. In this research, the authors have presented an analytical approach to compute the reliability measures of a system, which contains a mixed configuration. The system consists of three subsystems, namely A, B and C, connected in mixed configurations (i.e. combination of series and parallel configuration). Subsystem A is of the type 1-out of-2:G. Subsystem A is connected to subsystem B in a parallel configuration and these two subsystems are connected in series configuration with subsystem C. The considered system has three states, namely, good, degraded and failed. Markov process, supplementary variable technique and Laplace transformation have been used for solution and reliability measures like availability, reliability, mean time to failure, sensitivity analysis and cost-effectiveness have been evaluated of the considered system.
    Journal of the Brazilian Society of Mechanical Sciences and Engineering 01/2014; 37(3). DOI:10.1007/s40430-014-0227-y · 0.24 Impact Factor