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In This Article, a two level lot sizing problem with multi production methods and fuzzy demand is presented.The objective of the model is to minimize the costs.Various approaches like Genetic Algorithm (GA), Simulated Annealing (SA) and Vibration Damping Optimization (VDO) are applied to solve the model. Taguchi method has been utilized to calibrate the parameters of algorithms. Then, in order to prove the appropriate performance of the presented solving methods and choosing the most efficient method in order to solve the presented model, first, trial issues created with different dimensions and next solved by Lingo software and the proposed algorithms.Finally, we analyzed the responses.According to the statistical analysis and the results shown by the graph,Vibration Damping Optimization algorithm responses in large dimension issues is better than Simulated Annealing and Genetic Algorithm. Also Simulated annealing responses in large dimensionissues is better than Genetic Algorithm.