A model of large-scale Device Collaboration system based on PI-Calculus for green communication

In recent years, there has been an increasing interest to reduce the electricity bill and increase the energy efficiency of large-scale distributed systems. How to model device collaboration system for green communication is an important issue for distributed large-scale devices integration and collaboration in a seamless and green way. Although PI-Calculus has an advantage of modeling concurrent and dynamic systems, only functional aspects of device collaboration have been addressed, non-functional aspects such as energy consumption have been ignored due to the fact that PI-Calculus lacks for capability of modeling and analyze them. This paper proposes a PI-Calculus extended with price information - Price PI-Calculus. Firstly, it associates energy cost with process in PI-Calculus through price function. Second, with the help of the semantics of PI-Calculus transitional and price function, it associates the change of collaboration cost with the system evolution. After that a large-scale device control system modeling method based on Price PI-Calculus is presented. Finally, take advantage of operational and transitional semantics and a formal deduction, function correctness of device collaboration has been checked, in the meantime the system energy consumption has also been analyzed, it is very useful for choosing the energy-saving flow of device collaboration.