Pre-disaster investment decisions for strengthening a highway network
We address a pre-disaster planning problem that seeks to strengthen a highway network whose links are subject to random failures due to a disaster. Each link may be either operational or non-functional after the disaster. The link failure probabilities are assumed to be known a priori, and investmen...
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Published in | Computers & operations research Vol. 37; no. 10; pp. 1708 - 1719 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Kidlington
Elsevier Ltd
01.10.2010
Elsevier Pergamon Press Inc |
Subjects | |
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Abstract | We address a pre-disaster planning problem that seeks to strengthen a highway network whose links are subject to random failures due to a disaster. Each link may be either operational or non-functional after the disaster. The link failure probabilities are assumed to be known a priori, and investment decreases the likelihood of failure. The planning problem seeks connectivity for first responders between various origin–destination (O–D) pairs and hence focuses on uncapacitated road conditions. The decision-maker's goal is to select the links to invest in under a limited budget with the objective of maximizing the post-disaster connectivity and minimizing traversal costs between the origin and destination nodes. The problem is modeled as a two-stage stochastic program in which the investment decisions in the first stage alter the survival probabilities of the corresponding links. We restructure the objective function into a monotonic non-increasing multilinear function and show that using the first order terms of this function leads to a knapsack problem whose solution is a local optimum to the original problem. Numerical experiments on real-world data related to strengthening Istanbul's urban highway system against earthquake risk illustrate the tractability of the method and provide practical insights for decision-makers. |
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AbstractList | We address a pre-disaster planning problem that seeks to strengthen a highway network whose links are subject to random failures due to a disaster. Each link may be either operational or non-functional after the disaster. The link failure probabilities are assumed to be known a priori, and investment decreases the likelihood of failure. The planning problem seeks connectivity for first responders between various origin–destination (O–D) pairs and hence focuses on uncapacitated road conditions. The decision-maker's goal is to select the links to invest in under a limited budget with the objective of maximizing the post-disaster connectivity and minimizing traversal costs between the origin and destination nodes. The problem is modeled as a two-stage stochastic program in which the investment decisions in the first stage alter the survival probabilities of the corresponding links. We restructure the objective function into a monotonic non-increasing multilinear function and show that using the first order terms of this function leads to a knapsack problem whose solution is a local optimum to the original problem. Numerical experiments on real-world data related to strengthening Istanbul's urban highway system against earthquake risk illustrate the tractability of the method and provide practical insights for decision-makers. We address a pre-disaster planning problem that seeks to strengthen a highway network whose links are subject to random failures due to a disaster. Each link may be either operational or non-functional after the disaster. The link failure probabilities are assumed to be known a priori, and investment decreases the likelihood of failure. The planning problem seeks connectivity for first responders between various origin-destination (O-D) pairs and hence focuses on uncapacitated road conditions. The decision-maker's goal is to select the links to invest in under a limited budget with the objective of maximizing the post-disaster connectivity and minimizing traversal costs between the origin and destination nodes. The problem is modeled as a two-stage stochastic program in which the investment decisions in the first stage alter the survival probabilities of the corresponding links. We restructure the objective function into a monotonic non-increasing multilinear function and show that using the first order terms of this function leads to a knapsack problem whose solution is a local optimum to the original problem. Numerical experiments on real-world data related to strengthening Istanbul's urban highway system against earthquake risk illustrate the tractability of the method and provide practical insights for decision-makers. [PUBLICATION ABSTRACT] |
Author | Sibel Salman, F. Viswanath, Kannan Gunnec, Dilek Peeta, Srinivas |
Author_xml | – sequence: 1 givenname: Srinivas surname: Peeta fullname: Peeta, Srinivas email: peeta@purdue.edu organization: School of Civil Engineering, Purdue University, W. Lafayette, IN 47907, USA – sequence: 2 givenname: F. surname: Sibel Salman fullname: Sibel Salman, F. email: ssalman@ku.edu.tr organization: Department of Industrial Engineering, Koc University, Istanbul 34450, Turkey – sequence: 3 givenname: Dilek surname: Gunnec fullname: Gunnec, Dilek email: dgunnec@rhsmith.umd.edu organization: Robert H. Smith School of Business, University of Maryland, MD 20742, USA – sequence: 4 givenname: Kannan surname: Viswanath fullname: Viswanath, Kannan email: viswanak@purdue.edu organization: Krannert School of Management, Purdue University, W. Lafayette, IN 47907, USA |
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Keywords | Earthquake mitigation Decision-dependent probability distribution Networks Two-stage stochastic program Retrofitting highways Random link failures Costs Disaster Modeling Earthquakes Freeway Budget Survival probability Monotonic function Probabilistic approach Decision making Local optimum Highway Rupture Road network Failures Knapsack problem Stochastic programming Multilinear function Objective function Planning Reliability Investment |
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Snippet | We address a pre-disaster planning problem that seeks to strengthen a highway network whose links are subject to random failures due to a disaster. Each link... |
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SubjectTerms | Applied sciences Decision making models Decision theory. Utility theory Decision-dependent probability distribution Disasters Earthquake mitigation Emergency preparedness Exact sciences and technology Failure Financing Flows in networks. Combinatorial problems Ground, air and sea transportation, marine construction Highways Investment Knapsack problem Links Mathematical analysis Mathematical models Mathematical programming Networks Operational research and scientific management Operational research. Management science Random link failures Retrofitting highways Road transportation and traffic Roads & highways Stochastic models Studies Two-stage stochastic program |
Title | Pre-disaster investment decisions for strengthening a highway network |
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