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Modelling and simulation of Big data (BD) networks used to be technical problem before years, but now is opportunity. BD processioning and analytics are developing every day, useful teletraffic models describe and suggest decisions in such networks. Some of the untapped data are coming from sensors, devices, third parties, Web applications, and social media. Some BD sources feed data unceasingly in real time. Combining this, BD is not just about giant data volumes, it is also about an extraordinary diversity of data types, delivered at various speeds and frequencies. In this paper we analyzed the teletraffic models, modelling and analytical solutions for BD networks and are simulated heavy traffic models.