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System level modeling and design space exploration has an important role in Multi processor embedded system on chip design. Y-chart modeling is a well-known method for solving design space exploration problem. One of the most important stages in Y-chart approach is mapping an application onto architecture. In this paper, MOPSO algorithm has been proposed to obtain optimized solutions for mapping. The proposed method is tested using the MJPEG application as a case study in terms of accuracy and efficiency. Simulation results show that proposed algorithm will provide the designer with accurate solutions with a considerable reduction in design time. Finally a number of multi objective optimization results are simulated and verified by the Sesame framework.