Optimal Grouping of Heterogeneous Components in Series and Parallel Systems Under Archimedean Copula Dependence

Cascading failures can occur in many technical systems where the components are organized as in series–parallel structures. The failures in these systems may propagate from one component to the other, not only within the same parallel sub-structure but also between different sub-structures. This article presents a recursive aggregation method based on the extended models of reliability block diagram, for analyzing the impacts of cascading failures on the reliability of series–parallel systems. Based on the reliability analysis, the effects of safety barriers on preventing cascading failures are studied, and the importance of safety barriers at different locations is evaluated. One simple example of three components and one practical case from an oil production system are presented. The findings in these case studies illustrate how system designers and safety managers can identify the effective and reasonable ways of installing safety barriers by using the proposed approaches, for the mitigation of cascading failures in series–parallel technical systems.

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Reliability and non-reliability studies of Poisson variables in series and parallel systems

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.10.076 ◽

2012 ◽

Vol 218 (9) ◽

pp. 5112-5120 ◽

Cited By ~ 1

Author(s):

Pushpa L. Gupta ◽

Ramesh C. Gupta ◽

Seng-Huat Ong ◽

H.M. Srivastava

Keyword(s):

Parallel Systems ◽

In Series

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The Robust Redundancy Allocation Problem in Series-Parallel Systems With Budgeted Uncertainty

IEEE Transactions on Reliability ◽

10.1109/tr.2014.2299191 ◽

2014 ◽

Vol 63 (1) ◽

pp. 239-250 ◽

Cited By ~ 28

Author(s):

Mohammad Javad Feizollahi ◽

Shabbir Ahmed ◽

Mohammad Modarres

Keyword(s):

Parallel Systems ◽

Allocation Problem ◽

Redundancy Allocation Problem ◽

Redundancy Allocation ◽

In Series ◽

Budgeted Uncertainty

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Stochastic order for redundancy allocations in series and parallel systems

Advances in Applied Probability ◽

10.2307/1427734 ◽

1992 ◽

Vol 24 (1) ◽

pp. 161-171 ◽

Cited By ~ 64

Author(s):

Philip J. Boland ◽

Emad El-Neweihi ◽

Frank Proschan

Keyword(s):

Stochastic Order ◽

Parallel Systems ◽

Reliability Theory ◽

Mathematical Statistics ◽

In Series ◽

Redundant Component

The problem of where to allocate a redundant component in a system in order to optimize the lifetime of a system is an important problem in reliability theory which also poses many interesting questions in mathematical statistics. We consider both active redundancy and standby redundancy, and investigate the problem of where to allocate a spare in a system in order to stochastically optimize the lifetime of the resulting system. Extensive results are obtained in particular for series and parallel systems.

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