The future of mobile banking will be represented by such applications that support mobile, Internet banking and EFT (Electronic Funds Transfer) transactions in a single user interface. In such a way, the mobile banking will be able to cover all the types of applications demanded at the market level. The parallel processing of credit card bank transactions could be performed with the help of a grid network. Excluding some limitations, the grid processing offers huge opportunities to exploit the parallelism. For this reason, a lot of applications of waiting queues in grid processing were developed in the last years. Grid networks represent a distinctive and very modern field of the parallel and distributed processing.