A Robust Approach to Location-Allocation Problem under Uncertainty
نویسندگان
چکیده
This paper presents a new mathematical model for location-allocation problem considering uncertain parameter. In real-world cases, demand, distance, traveling time or any parameters in classical models may change over the period of time. So, considering uncertainty yields more flexibility for the results and its applications. In our study, environmental uncertainty is described by discrete scenarios where probability of occurrence each of them is not known. So, we use robust optimization technique to analyze the model. Therefore, we introduce a formulation of the robust locationallocation problem in which we have budget constraint. Also, we present mean value model where each uncertain parameter is replaced by its mean to compare with robust model. Finally, some numerical examples are illustrated to show effectiveness of the robust solutions. © 2009 World Academic Press, UK. All rights reserved.
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