It has been always critical and inevitable to select and assess the appropriate and efficient vendors for the companies such that all the\r\naspects and factors leading to the importance of the select process should be considered. This paper studies the process of selecting\r\nthe vendors simultaneously in three aspects of multiple criteria, random factors, and reaching efficient solutions with the objective\r\nof improvement. Thus, selecting the vendors is introduced in the form of a mixed integer multiobjective stochastic problem and\r\nfor the first time it is converted by CCGC (min-max) model to a mixed integer nonlinear single objective deterministic problem.\r\nAs the converted problem is nonlinear and solving it in large scale will be time-consuming then the artificial bee colony (ABC)\r\nalgorithm is used to solve it. Also, in order to better understand ABC efficiency, a comparison is performed between this algorithm\r\nand the particle swarmoptimization (PSO) and the imperialist competitive algorithm (ICA) and Lingo software output.The results\r\nobtained from a real example show that ABC offers more efficient solutions to the problem solving in large scale and PSO spends\r\nless time to solve the same problem.
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