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Sensitivity Analysis of Model Output with Input Constraints: A Generalized Rationale for Local Methods

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  • Emanuele Borgonovo

Abstract

In this work, we introduce a generalized rationale for local sensitivity analysis (SA) methods that allows to solve the problems connected with input constraints. Several models in use in the risk analysis field are characterized by the presence of deterministic relationships among the input parameters. However, SA issues related to the presence of constraints have been mainly dealt with in a heuristic fashion. We start with a systematic analysis of the effects of constraints. The findings can be summarized in the following three effects. (i) Constraints make it impossible to vary one parameter while keeping all others fixed. (ii) The model output becomes insensitive to a parameter if a constraint is solved for that parameter. (iii) Sensitivity analysis results depend on which parameter is selected as dependent. The explanation of these effects is found by proposing a result that leads to a natural extension of the local SA rationale introduced in Helton (1993). We then extend the definitions of the Birnbaum, criticality, and the differential importance measures to the constrained case. In addition, a procedure is introduced that allows to obtain constrained sensitivity results at the same cost as in the absence of constraints. The application to a nonbinary event tree concludes the article, providing a numerical illustration of the above findings.

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  • Emanuele Borgonovo, 2008. "Sensitivity Analysis of Model Output with Input Constraints: A Generalized Rationale for Local Methods," Risk Analysis, John Wiley & Sons, vol. 28(3), pages 667-680, June.
    • Handle: RePEc:wly:riskan:v:28:y:2008:i:3:p:667-680
    DOI: 10.1111/j.1539-6924.2008.01052.x
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    1. Joost Reyes Santos & Yacov Y. Haimes, 2004. "Applying the Partitioned Multiobjective Risk Method (PMRM) to Portfolio Selection," Risk Analysis, John Wiley & Sons, vol. 24(3), pages 697-713, June.
    2. John H. Kessler & Robin K. McGuire, 1999. "Total System Performance Assessment for Waste Disposal Using a Logic Tree Approach," Risk Analysis, John Wiley & Sons, vol. 19(5), pages 915-931, October.
    3. Borgonovo, E. & Peccati, L., 2006. "The importance of assumptions in investment evaluation," International Journal of Production Economics, Elsevier, vol. 101(2), pages 298-311, June.
    4. Ronald L. Iman & Mark E. Johnson & Charles C. Watson, 2005. "Uncertainty Analysis for Computer Model Projections of Hurricane Losses," Risk Analysis, John Wiley & Sons, vol. 25(5), pages 1299-1312, October.
    5. Stanley Kaplan & B. John Garrick, 1981. "On The Quantitative Definition of Risk," Risk Analysis, John Wiley & Sons, vol. 1(1), pages 11-27, March.
    6. H. Christopher Frey & Sumeet R. Patil, 2002. "Identification and Review of Sensitivity Analysis Methods," Risk Analysis, John Wiley & Sons, vol. 22(3), pages 553-578, June.
    7. Borgonovo, E. & Peccati, L., 2004. "Sensitivity analysis in investment project evaluation," International Journal of Production Economics, Elsevier, vol. 90(1), pages 17-25, July.
    8. Saltelli A. & Tarantola S., 2002. "On the Relative Importance of Input Factors in Mathematical Models: Safety Assessment for Nuclear Waste Disposal," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 702-709, September.
    9. Ronald A. Howard, 1988. "Decision Analysis: Practice and Promise," Management Science, INFORMS, vol. 34(6), pages 679-695, June.
    10. Emanuele Borgonovo, 2006. "Measuring Uncertainty Importance: Investigation and Comparison of Alternative Approaches," Risk Analysis, John Wiley & Sons, vol. 26(5), pages 1349-1361, October.
    11. Sumeet R. Patil & H. Christopher Frey, 2004. "Comparison of Sensitivity Analysis Methods Based on Applications to a Food Safety Risk Assessment Model," Risk Analysis, John Wiley & Sons, vol. 24(3), pages 573-585, June.
    12. Ronald L. Iman & Mark E. Johnson & Charles C. Watson, 2005. "Sensitivity Analysis for Computer Model Projections of Hurricane Losses," Risk Analysis, John Wiley & Sons, vol. 25(5), pages 1277-1297, October.
    13. Borgonovo, E., 2007. "Differential, criticality and Birnbaum importance measures: An application to basic event, groups and SSCs in event trees and binary decision diagrams," Reliability Engineering and System Safety, Elsevier, vol. 92(10), pages 1458-1467.
    14. Andrea Saltelli, 2002. "Sensitivity Analysis for Importance Assessment," Risk Analysis, John Wiley & Sons, vol. 22(3), pages 579-590, June.
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    1. Isadora Antoniano‐Villalobos & Emanuele Borgonovo & Sumeda Siriwardena, 2018. "Which Parameters Are Important? Differential Importance Under Uncertainty," Risk Analysis, John Wiley & Sons, vol. 38(11), pages 2459-2477, November.
    2. S. Cucurachi & E. Borgonovo & R. Heijungs, 2016. "A Protocol for the Global Sensitivity Analysis of Impact Assessment Models in Life Cycle Assessment," Risk Analysis, John Wiley & Sons, vol. 36(2), pages 357-377, February.
    3. Aliee, Hananeh & Borgonovo, Emanuele & Glaß, Michael & Teich, Jürgen, 2017. "On the Boolean extension of the Birnbaum importance to non-coherent systems," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 191-200.
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    5. Mikko V. Pohjola & Pasi Pohjola & Marko Tainio & Jouni T. Tuomisto, 2013. "Perspectives to Performance of Environment and Health Assessments and Models—From Outputs to Outcomes?," IJERPH, MDPI, vol. 10(7), pages 1-22, June.

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