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Abstract: This paper describes a novel technique, based on interval methods, for the estimation of reliability using fault trees. The approach encodes inherent uncertainty in the input data by modeling this data in terms of intervals. Appropriate interval arithmetic is then used to propagate the data through standard fault trees to generate output distributions which reflect the uncertainty in the input data. Through a canonical example of reliability estimation for a robot manipulator system, we show... (Update)
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BibTeX entry: (Update)
@misc{ carreras-interval,
author = "Carlos Carreras and Ian D. Walker",
title = "Interval Methods for Fault-Tree Analyses in Robotics",
url = "citeseer.ist.psu.edu/638484.html" }
Citations (may not include all citations):225 Introduction to Interval Computations (context) - Alefeld, Herzberger - 1983
204 Methods and Applications of Interval Analysis (context) - Moore - 1979
95 Numerical Recipes in FORTRAN: The Art of Scientific Computin.. (context) - Press, Teukolsky et al. - 1992
63 Computer Methods for the Range of Functions (context) - Ratschek, Rokne - 1988
15 Bounding the Results of Arithmetic Operations on Random Vari.. (context) - Berleant - 1998
11 Interval Mathematics (context) - Nickel - 1985
11 Interval Mathematics (context) - Nickel - 1980
5 Automatically Verified Reasoning with Both Intervals and Pro.. (context) - Berleant - 1993
5 Robot Reliability Through Fuzzy Markov Models - Leuschen, Walker et al. - 1998
5 Analysis of Robots for Hazardous Environments - Harpel, Dugan et al. - 1997
4 Interval Approach Challenges Monte Carlo Simulation - Pesonen - 1995
4 Failure Mode Analysis for a Hazardous Waste Clean-Up Manipul.. (context) - Walker, Cavallaro - 1996
4 Robot Reliability Estimation Using Interval Methods (context) - Carreras, Walker et al. - 1999
4 The Use of Fault Trees for the Design of Robots for Hazardou.. (context) - Walker, Cavallaro - 1996
3 Fault-Tree Analysis by Fuzzy Probability (context) - Tanaka, Fan et al. - 1983
3 Bit-width Selection in Data-path Implementations (context) - Carreras, Lopez et al. - 1999
2 Robot Fault Detection and Fault Tolerance: A Survey (context) - Visinsky, Cavallaro et al. - 1994
2 A Fuzzy Set Approach to Fault Tree and Reliability Analysis (context) - Singer - 1990
2 Standard Deviation As an Alternative to Fuzziness in Fault T.. (context) - Page, Perry - 1994
2 US Nuclear Regulatory Commission (context) - Vesley, Goldberg et al. - 1981
2 Interval Methods for Improved Robot Reliability Estimation - Carreras, Walker - 2000
2 New Results in Fault-Tree Analysis (context) - Dugan, Doyle - 1996
2 A Comparison of Failure Probability Estimates by Monte Carlo.. (context) - Zeeb, Burns - 1998
2 Fast Data Flow Characterization (context) - Carreras, Nieto et al. - 1998
1 Fault-Tree Analysis: A Knowledge-Engineering Approach (context) - amd, Ebecken - 1995
1 A Probabilistic Foundation for Vagueness and Imprecision in .. (context) - Guth - 1991
1 Assessment of the Reliability of Robotic Systems for Use in .. (context) - Lauridsen, Christensen et al. - 1996
1 The Use of Imprecise Component Reliability Distributions in .. (context) - Roberts, Samuel - 1996
1 Retrieval of Underground Storage Tank Wastes: The Hanford Ch.. (context) - Shen - 1995
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