Reliability analysis of a non-identical unit parallel system with common-cause failures

Reliability and Availability Analysis of Some Systems with Common‐Cause Failures Using SPICE Circuit Simulation Program

“…Tables I-III show the steady-state system availability and MTTF for three different models of the system. Also shown in Tables I-III are the results obtained using the Laplace transform method [5]. From Tables I-III it can be seen that the results obtained using SPICE simulation are in excellent agreement with the results obtained using the Laplace transform method.…”

“…A non-identical unit parallel system with common-cause Figure 4 shows the state transition diagram along with the corresponding failure rates and repair rates of the non-identical unit parallel system with common-cause failures [5]. of this system can be written as: dPo(t) -(/a + )b + Acl)Po(t) + #aP1 (t) dt + #bP2 (t) + #3P3 (t) + #cP4 (t) (7a) dP t)…”

“…However, obtaining the real roots ofa fourth-order polynomial is deeply involved in a sea of algebra [5].…”

“…The major intention of this paper is to present equivalent circuits for studying the behavior of two multi-state systems described by the Markov models. The first system is a non-identical unit parallel system with common-cause failures [5]. The second system is warm standby system with common-cause failures and human errors [1].…”

Using Spice Circuit Simulation Program in Reliability Analysis ofRedundant Systems with Non‐Repairable Units and Common‐CauseFailures

“…In practice most component failures are hardly statistically independent. Thus, common-cause failure, where a single failure event can propagate and cause failure of more than one unit in the system, has attracted the attention of many investigators in the area of system reliability and availability [1][2][3][4][5][6][7][8]. There are several reasons which can lead to common cause failures [5].…”