The location transportation problem is a combination of location, routing and inventory facilities. The problem of transportation locations consists of strategic decisions and operational decisions. Strategy decisions consist of location and facility capacity to meet demand, while operational decisions consist of final production and optimal distribution. However, sometimes there is uncertainty in demand, which influences operational decisions. Robust Optimization is a method for solving problems that are affected by uncertainty in data. This study aims to apply single-stage with an ellipsoid approach to the problem of transportation locations with uncertainty in demand. Robust optimization through the ellipsoidal uncertainty set approach provides costs for strategic and operational decisions that tend to remain for each production period. As for the optimization model, the influence of uncertainty in demand can affect the uncertainty of strategic and operational costs.
 V. Gabrel, M. Lacroix and N. Remli, N, Robust Location Transportation Problems Under Uncertain Demands. Discrete Applied Mathematics 164 (1) (2011) 100-111
 A. Ardestani-Jaafari, E. Delage, Affinely Adjustable Robust Location Transportation Problem. Proceedings of 2014 Industrial and Systems Engineering Research Conference Y. Guan and H. Liao, Eds. (2014)
 A. Atamturk, and M. Zhang, Two-Stage Robust Network Flow and Design Under Demand Uncertainty. Operations Research 55(4) (2007) 662-673
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