Iraj Mahdavi - Department of Industrial Engineering, Mazandaran University of Science & Technology Babol, Iran
Mehdi Amiri Aref - Department of Industrial Engineering, Mazandaran University of Science & Technology Babol, Iran
Saber Shiripour - Department of Industrial Engineering, Mazandaran University of Science & Technology Babol, Iran
Mojtaba Mohammadnia - Department of Industrial Engineering, Mazandaran University of Science & Technology Babol, Iran

In this paper, we design the multi-facility location-allocation problem in the Euclidean plane and in the presence of polyhedral barriers .The deterministic version of the problem, which assumes that customer locations and demands are known with certainty, is a non-convex optimization problem .We focus on the probabilistic multi Weber problem with polyhedral barriers(PMWPB), and consider the situation in which customer location are randomly distributed according to a bivariate probability distribution . For the resulting multi-dimensional mixed-integer optimization problem an alternate location and allocation procedure is valuated for the proposed model.

Multi facility location; uncapacitated multisource Weber problem; probabilistic customer location