At the moment the big data issues develop. Fairly natural to query processing in cloud technologies, namely hybrid cloud infrastructure. However, most of the problems are not resolved, it is economic and technical and communication issues. It is important to develop technologies for porting applications lossless data access speed and providing QoS. To optimize queries traditionally used model graph theory, algorithm theory and other methods of discrete mathematics. They cannot get the correct assessment of conformity of theoretical research into practical implementations in the cloud technologies.