Stochastic Reliability Analysis — Its Application to Complex Redundancy Systems

The paper reviews the development of reliability assessment in structural analysis under consideration of the non-traditional uncertainty model fuzzy randomness. Starting froma discussion of sources of variability and imprecision, uncertainty models are introduced. On this basis, numerical approaches are displayed for uncertain structural analysis and reliability assessment. Thereby, variations in time are considered which results in a time-dependent reliability measure. Capacity and applicability of the approaches are demonstrated by means of an example.

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Reply to Parry's comments on ‘basic aspects of stochastic reliability analysis for redundancy systems’

Reliability Engineering & System Safety ◽

10.1016/0951-8320(89)90039-2 ◽

1989 ◽

Vol 24 (4) ◽

pp. 381-385

Author(s):

Peter Dörre

Keyword(s):

Reliability Analysis ◽

Stochastic Reliability

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Pressure dependent stochastic reliability analysis of water distribution networks

Water Science & Technology Water Supply ◽

10.2166/ws.2004.0045 ◽

2004 ◽

Vol 4 (3) ◽

pp. 81-90 ◽

Cited By ~ 3

Author(s):

M. Tabesh ◽

T.T. Tanyimboh ◽

R. Burrows

Keyword(s):

Reliability Analysis ◽

System Reliability ◽

Water Distribution ◽

Extended Period ◽

Distribution Networks ◽

Water Distribution Networks ◽

Simulation Based ◽

Diurnal Profile ◽

Stochastic Reliability ◽

Probabilistic Nature

Any reliability analysis based on just deterministic values of daily average or peak demands, cannot represent the overall system reliability realistically. Using a stochastic model in this paper variations of the system and nodal reliability values are investigated through a period of time. Considering probabilistic nature of demands, this paper combines the extended period simulation of water distribution networks with the head driven simulation based reliability analysis that presents the nodal and system reliabilities more realistically than conventional demand driven simulation based analysis. A sample network with possibility of one link failure is examined and diurnal profile of reliability values due to mechanical and hydraulic failures and known probabilities of demands is presented. It is seen that considering the probabilistic nature of demands the severity of mechanical and hydraulic failures on the hydraulic performance of the system are illustrated properly and realistically, especially at the critical times or nodes, in comparison with the deterministic values.

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