Low probability-high consequence considerations in a multiobjective approach to risk management

The goal of this research is to develop a mathematical model for determining a route that attempts to reduce the risk of low probability, high consequence accidents by trying to minimize the conditional expected risk given that an accident has occurred. However, if this were the only objective of the model, then poor decisions could result. Therefore, the model formulated is a bicriterion network optimization model that considers trade-offs between the conditional expectation of a catastrophic outcome and more traditional measure of risk dealing with the expected value of the consequence. More specifically, the problem we wish to address involves finding a path that minimizes the conditional expectation of a catastrophic outcome such that the expected risk is lesser than or equal to a pre-determined value, v. The value v, is user-prescribed and is prompted by the solution to the shortest path problem which minimizes the expected risk. Two approaches are investigated. First, we apply a suitable k-shortest path algorithm to rank the extreme points for which the objective function value remains lesser than or equal to v. This enables the selection of a best path with respect to the conditional expectation objective function Second, we develop a fractional programming branch-and-bound approach that IS more robust with respect to the selected value of v. A simple numerical example is provided for the sake of illustration, and the model is also tested using real data Both data acquisition issues as well as algorithmic computational Issues are discussed.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Industrial and Systems Engineering

Department dc:contributor.department

Industrial and Systems Engineering

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1994

Author dc:creator

• Brizendine, Laora Dauberman

Chair dc:contributor.committeechair

• Sherali, Hanif D.

Committee members dc:contributor.committeemember

• Hobeika, Antoine G.
• Koelling, C. Patrick

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en

Dc Identifier Other

etd-07112009-040353

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/43674