deletions | additions       diff --git a/section_Pre_positioning_disaster_response__.tex b/section_Pre_positioning_disaster_response__.tex  index 0513307..cf90264 100644  --- a/section_Pre_positioning_disaster_response__.tex  +++ b/section_Pre_positioning_disaster_response__.tex 
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\textbf{Verma and Gaukler} \cite{VermaGaukler2015} propose a stochastic optimization models for pre-positioning the disaster response facilities. They allow the demand and the inventory level to be uncertain parameters due to the unknown impacts of disaster on the facilities as well as the populated areas.   In particular, they consider an extension to the traditional k-median problems by allowing the 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.    The authors propose a two-stage stochastic program in which the number of required facilities is determined at the first stage of the model. In the second stage, the amount of items to be transferred from the facility to the affected people is determined. To solve the model, the authors propose a modified version of the L-Shaped method which employs a greedy heuristic equipped with a local engine to solve the master problem. In the computational study section of this work, the authors consider a earthquake scenario in California state as a case-study with twenty 20  demand points and fifty eight 58  locations for the facilities. }