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Rahman Khorramfar edited section_A_Stochastic_Optimization_Model__1.tex
almost 8 years ago
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For solving the problem, the authors implemented L-shape algorithm and a computational case study is carried out on California state.
{ \sf
\textbf{Verma and Gaukler} \cite{VermaGaukler2011} consider a stochastic version of the k-median optimization problem, which has applications in disaster management. In their proposed two-stage stochastic program, the location of the so-called relief distribution centers (RDCs) is determined as the first-stage variables followed by the computation of the flows of relief items from the RDCs to affected areas (AA), which form the second-stage variables. In particular, they consider an extension to the traditional k-median problems by allowing the \emph{performance} of each open RDC to vary depending on the distance from the center of the disaster (e.g., earthquake's epicenter). More precisely, the performance of each open RDC is a function of its distance from the disaster epicenter, where the function is obtained form available historical data. For the computational study, the authors consider a
case study on an earthquake
scenario in California
state and
adopt their proposed two-stage model to a real-world problem. The the resulting model is then solved by applying the classical L-Shaped method in stochastic programming framework. \\ \\
}