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A distributed computing network (DCN), such as a content delivery network, not only improves the response time to clients but also reduce the traffic from/to the data center over a wide area network (WAN), thereby decreasing the power consumed in the WAN. In this paper, we focus on the energy-saving aspect of the DCN and evaluate its effectiveness, especially considering traffic locality, i.e., the amount of traffic related to the geographical vicinity. Numerical evaluations show that the DCN has a small advantage when the traffic has no locality. Meanwhile, when there is strong traffic locality, the system's power consumption is reduced to 64 % of the power consumption in the case where a DCN is not used.