Managing Multiple Sources of Epistemic Uncertainty in Engineering Decision Making

Managing uncertainty is an integral part of making well-informed engineering decisions. When formulating a design problem, many of the variables and models contain epistemic uncertainty, uncertainty due to lack of knowledge. If this lack of knowledge is significant, it may be advantageous to acquire additional information before making a design decision. In this paper, we develop a framework for identifying which sources of epistemic uncertainty should be reduced to improve the overall quality of the design decision. Using principles of information economics, utility theory, and probability bounds analysis, we determine how much additional information should be acquired for each uncertain quantity in the decision problem. Our approach is illustrated with an example for the environmentally benign design of an electric vehicle.

[1]  J. Berger Statistical Decision Theory and Bayesian Analysis , 1988 .

[2]  Christiaan J. J. Paredis,et al.  Managing the collection of information under uncertainty using information economics , 2006 .

[3]  M. Goedkoop,et al.  The Eco-indicator 99, A damage oriented method for Life Cycle Impact Assessment , 1999 .

[4]  Robert T. Clemen,et al.  Making Hard Decisions: An Introduction to Decision Analysis , 1997 .

[5]  Alice M. Agogino,et al.  An Intelligent Real Time Design Methodology for Component Selection: An Approach to Managing Uncertainty , 1994 .

[6]  S Kafandaris,et al.  The Economic Value of Information , 2001, J. Oper. Res. Soc..

[7]  Genichi Taguchi System Of Experimental Design: Engineering Methods To Optimize Quality And Minimize Costs , 1987 .

[8]  Marc Despontin,et al.  Decision theory: An introduction to the mathematics of rationality: Ellis Horwood, Chichester, 1986, 448 + pages, £55.00 , 1987 .

[9]  Morgan C. Bruns,et al.  Propagation of Imprecise Probabilities through Black Box Models , 2006 .

[10]  Isaac Levi,et al.  Extensions of Expected Utility Theory and Some Limitations of Pairwise Comparisons , 2003, ISIPTA.

[11]  George A. Hazelrigg,et al.  A Framework for Decision-Based Engineering Design , 1998 .

[12]  S. French Decision Theory: An Introduction to the Mathematics of Rationality , 1986 .

[13]  Ronald A. Howard,et al.  Information Value Theory , 1966, IEEE Trans. Syst. Sci. Cybern..

[14]  James E. Matheson,et al.  The Economic Value of Analysis and Computation , 1968, IEEE Trans. Syst. Sci. Cybern..

[15]  E. Rowland Theory of Games and Economic Behavior , 1946, Nature.

[16]  Satyandra K. Gupta,et al.  Estimating the Optimal Number of Alternatives to Be Explored in Large Design Spaces: A Step Towards Incorporating Decision Making Cost in Design Decision Models , 2002 .

[17]  Bert Bras,et al.  INCLUDING LIFE CYCLE CONSIDERATIONS IN THE DESIGN OF AN ELECTRIC VEHICLE SPACE FRAME , 1998 .

[18]  Scott Ferson,et al.  Probability bounds analysis , 1998 .

[19]  Christiaan J. J. Paredis,et al.  An Information Economic Approach for Model Selection In Engineering Design , 2006 .

[20]  P. Walley Statistical Reasoning with Imprecise Probabilities , 1990 .

[21]  Christiaan J. J. Paredis,et al.  Eliminating Design Alternatives Based on Imprecise Information , 2006 .

[22]  Daniel A. McAdams,et al.  A Methodology for Model Selection in Engineering Design , 2005 .

[23]  Christiaan J. J. Paredis,et al.  A Comparison of Probability Bounds Analysis and Sensitivity Analysis in Environmentally Benign Design and Manufacture , 2006, DAC 2006.

[24]  C. Paredis,et al.  The Value of Using Imprecise Probabilities in Engineering Design , 2006 .

[25]  K. McConway,et al.  Decision Theory: An Introduction to the Mathematics of Rationality , 1986 .

[26]  Abraham Wald,et al.  Statistical Decision Functions , 1951 .

[27]  Efstratios Nikolaidis,et al.  Types of Uncertainty in Design Decision Making , 2004 .