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By allowing a mobile device to offload computationintensive tasks to a base station, mobile edge computing (MEC) is a promising solution for saving the mobile device's energy. In real applications, the offloading may span multiple fading blocks. In this paper, we investigate energy-efficient offloading over multiple fading blocks with random channel gains. An optimization problem is formulated, which optimizes the amount of data for offloading to minimize the total expected energy consumption of the mobile device. Although the formulated optimization problem is non-convex, we prove that the objective function of the problem is piecewise convex, and accordingly develop an optimal solution for the problem. Numerical results verify the correctness of our findings and the effectiveness of our proposed method.

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According to blue-tooth viruses spread actuality, an epidemic model of blue-tooth phone virus is proposed in this paper. In this epidemic model, we proposed four basic statues to represent smart phones in different states. We also introduced some factors which can affect the basic trend of virus spreading, such as density of smart phones, length of malicious code and so on. But we mainly focused on parameter of spreading rate, and defined it as a variable which could change with time. At the end of this model, the simulation results showed the development tendency of this propagation model.