A continuum approximation approach to reliable facility location design under correlated probabilistic disruptions

This paper studies the reliable uncapacitated fixed charge location problem (RUFL) where facilities are subject to spatially correlated disruptions that occur with location-dependent probabilities (due to reasons such as natural or man-made disasters). If a facility fails, its customers are diverted...

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Bibliographic Details
Published inTransportation research. Part B: methodological Vol. 44; no. 4; pp. 535 - 548
Main Authors Li, Xiaopeng, Ouyang, Yanfeng
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 01.05.2010
Elsevier
SeriesTransportation Research Part B: Methodological
Subjects
Applied sciences
Buildings. Public works
Continuum approximation
Continuums
Correlation
Customers
Disruption
Exact sciences and technology
Ground, air and sea transportation, marine construction
Mathematical analysis
Mathematical models
Position (location)
Project management. Process of design
Reliable facility location
Reliable facility location Continuum approximation Spatial correlation Disruption
Spatial correlation
Transportation
Transportation planning, management and economics
Reliable facility location
Continuum approximation
Disruption
Spatial correlation
Construction cost
Approximation
Probability
Disaster
Economy of transports
Modeling
Equipment
Site selection
Formulation
Reliability
Localization
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Summary:This paper studies the reliable uncapacitated fixed charge location problem (RUFL) where facilities are subject to spatially correlated disruptions that occur with location-dependent probabilities (due to reasons such as natural or man-made disasters). If a facility fails, its customers are diverted to other facilities and incur excessive transportation cost. We develop a continuum approximation (CA) model to minimize the sum of initial facility construction costs and expected customer transportation costs under normal and failure scenarios. The paper presents ways to formulate the correlation among adjacent facility disruptions, and incorporates such correlations into the CA model. Numerical experiments are conducted to illustrate how the proposed model can be used to optimize facility location design, and how the correlations influence the total system cost.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0191-2615
1879-2367
DOI:10.1016/j.trb.2009.09.004