In the present paper an introduction is initially given on the interpretation of uncertainty and probability in engineering decision analysis and it is explained how, in some cases, uncertainties may change type depending on the “scale” of the applied modeling and as a function of time. Thereafter it is attempted to identify and outline the generic character of different engineering decision problems and to categorize these as prior, posterior, and preposterior decision problems, in accordance with the Bayesian decision theory. Finally, input is given to an ongoing discussion concerning the correctness and consistency of uncertainty modeling applied in the most recent reliability updating analysis for structural requalification and inspection and maintenance planning. To this end an outline is given in regard to appropriate uncertainty treatment in the probabilistic modeling for different types of decision problems.

1.
Freudenthal
,
A. M.
,
Garrelts
,
J. M.
, and
Shinozuka
,
M.
, 1966, “
The Analysis of Structural Safety
,”
J. Struct. Div. ASCE
0044-8001,
1
, pp.
267
325
.
2.
Turkstra
,
K.
, 1970, “
Applications of Bayesian Decision Theory, Study No. 3: Structural Reliability and Codified Design
,” University of Waterloo, Canada.
3.
Ferry-Borges
,
J.
, and
Castanheta
,
M.
, 1971,
Structural Safety
, 2nd ed.,
National Civil Eng. Lab.
, Lisbon, Portugal.
4.
Apostolakis
,
G.
, 1990,
The Concept of Probability in Safety Assessment of Technical Systems
,
Science
,
New Series
, Vol.
250
, Issue 4986, pp.
1359
1364
.
5.
JCSS
, 2001, “
Probabilistic Model Code for Reliability Based Design
,” The Joint Committee on Structural Safety.
6.
Paté-Cornell
,
M. E.
, 1996,
Uncertainties in Risk Analysis: Six Levels of Treatment
,
Reliability Engineering and Systems Safety
,
Elsevier Science Limited
, Northern Ireland, Vol.
54
, pp.
95
111
.
7.
Lindley
,
D. V.
, 1976,
Introduction to Probability and Statistics from a Bayesian Viewpoint
,
Cambridge University Press
, Cambridge.
8.
Ditlevsen
,
O.
, and
Madsen
,
H. O.
, 1996,
Structural Reliability Methods
,
Wiley
, Chichester.
9.
Von Neumann
,
J.
, and
Morgenstern
,
O.
, 1943,
Theory of Games and Economical Behavior
,
Princeton University Press
, Princeton, NJ.
10.
Nathwani
,
J. S.
,
Lind
,
N. C.
, and
Pandey
,
M. D.
, 1997,
Affordable Safety by Choice: The Life Quality Method
,
Institute for Risk Research
,
University of Waterloo
, Canada.
11.
Rackwitz
,
R.
, 2001, “
A New Approach for Setting Target Reliabilities
,”
Proc. Safety, Risk and Reliability—Trends in Engineering—Malta
, 21–23, March 2001,
IABSE
, Zürich, pp.
531
536
.
12.
Raiffa
,
H.
, and
Schlaifer
,
R.
, 1961,
Applied Statistical Decision Theory
,
Harvard University Press
,
Cambridge University Press
, Cambridge, MA.
13.
Benjamin
,
J. R.
, and
Cornell
,
C. A.
, 1970,
Probability, Statistics and Decision for Civil Engineers
,
McGraw-Hill
, New York.
14.
Faber
,
M. H.
, and
Stewart
,
M. G.
, 2003, “
Risk Assessment for Civil Engineering Facilities: Critical Overview and Discussion
,”
Journal of Reliability Engineering and Systems Safety
,
80
, pp.
173
184
.
15.
JCSS
2000,
Guideline for Reliability Based Assessment of Existing Structures
,
The Joint Committee on Structural Safety
, Rilem.
16.
Faber
,
M. H.
, 2000, “
Reliability Based Assessment of Existing Structures
,”
Journal of “Progress in Structural Engineering and Materials,”
John Wiley & Sons
, New York Vol.
2
, Issue 2.
17.
Aitchison
,
J.
, and
Dunsmore
,
I. R.
, 1975,
Statistical Prediction Analysis
,
Cambridge University Press
, Cambridge.
18.
Madsen
,
H. O.
,
Krenk
,
S.
, and
Lind
,
N. C.
, 1986,
Methods of Structural Safety
,
Prentice–Hall
, Englewood Cliffs, NJ.
19.
Faber
,
M. H.
, 2002, “
Risk Based Inspection: the Framework
,”
Journal of the International Association for Bridge and Structural Engineering (IABSE)
,
SEI
Volume
12
, Number 3, August 2002, pp.
186
194
.
20.
Faber
,
M. H.
, 2003, “
New Approaches to Inspection Planning of Fatigue Damaged Offshore Platforms
,”
Journal of UK Safety and Reliability Society
,
23
(
1
), pp.
35
50
.
21.
Heckerman
,
D.
, 1995, “
A Tutorial on Learning Bayesian Networks
,” Technical Report 95-06, Microsoft.
22.
Stahl
,
B.
, and
Bea
,
R.
, 2001, private communication.
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