| In queuing theory, M/M/C/∞and M/M/m/k are the models that the reaching of the customers and the service of the system are distributed to Poisson distribution, the service desks in this system are multiple. The M/M/m/k model is a special form of the queuing model. And the capacity of model is limited. This model used to find out the regulation of the customers and the queue system, and based on these regulations, the theory can be used to optimize the systems. Thus, we use the queuing theory model to optimize and improve the performance of the real-time communication of the Ethernet.Through the studying of the status and future development of the Ethernet, we find out that the number of the channels, the capacity of the channels and the service ability of the real-time communication over Ethernet can determine the performance of the Ethernet. The uncertainty delay of the communication system over Ethernet is the key reason that the system cannot be timely and accurate delivery of information. Therefore, to improve the speed of the communication we have to focus on all these reasons and decide to use the M/M/C/∞model to improve the performance of the Ethernet communication. By using the model M/M/C/∞of queuing theory, we can change the original communication model of single-input and single-output into a single-input and multiple output models. Because in the actual production of the Ethernet, the capacity of the channel is limited, the space for the information in the channel is limited and the information has its own priority, we choose the mixed M/M/m/k model with priority queuing in order to improve the performance of the real-time communication of the Ethernet.Based on the proposed mathematical model, combining real-time Ethernet communication system, we set the efficiency and the parameters to estimate the system. And we use this information to set the best captain of the queue. Then the validity and the accuracy of the system can be proved by the experiments. |
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