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 inComputers & operations research Vol. 37; no. 10; pp. 1708 - 1719
Main Authors Peeta, Srinivas, Sibel Salman, F., Gunnec, Dilek, Viswanath, Kannan
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 01.10.2010
Elsevier
Pergamon Press Inc
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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.
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
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  surname: Peeta
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  surname: Sibel Salman
  fullname: Sibel Salman, F.
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  givenname: Dilek
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  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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Issue 10
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
Language English
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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
URI https://dx.doi.org/10.1016/j.cor.2009.12.006
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https://www.proquest.com/docview/753737411
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