Optimal Structure of Sensor Systems with Two Failure Modes

An optimal sensor structure is developed for a sensor system which consists of several channels. Each channel monitors a particular plant state, e.g., temperature or pressure. When some states become abnormal, an event occurs. The channels which monitor these abnormal states then initiate appropriat...

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Bibliographic Details
Published in:IEEE transactions on reliability 1982-04, Vol.R-31 (1), p.119-120
Main Authors: Inoue, Koichi, Kohda, Takehisa, Kumamoto, Hiromitsu, Takami, Isao
Format: Article
Language:English
Subjects:
Costs
Extended Lawler & Bell algorithm
Fail-dangerous
Failsafe
Investments
Linear programming
Nonlinear integer programming problem
Optimal structure
Reliability engineering
Reliability theory
s-Coherent system
Safety
Sensor system
Sensor systems
Temperature sensors
Upper bound
Zinc
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Summary:An optimal sensor structure is developed for a sensor system which consists of several channels. Each channel monitors a particular plant state, e.g., temperature or pressure. When some states become abnormal, an event occurs. The channels which monitor these abnormal states then initiate appropriate safety systems. Sensors are either good, or failed-dangerous, or failed-safe. More than one sensor is available for each channel. The problem is to obtain the optimal s-coherent sensor structures for the channels. A theorem is proven and a nonlinear integer programming (NLIP) problem is derived to minimize s-expected total damage. The NLIP problem can be solved by the extended Lawler & Bell algorithm. For a 1-channel sensor system, the optimal structure can be obtained analytically by a simple formula.
ISSN:0018-9529
1558-1721
DOI:10.1109/TR.1982.5221257