Big data has different characteristics from the traditional data. It has large volume and various type and requires real-time processing. To process the big data, cluster based parallel and distributed computing model, Map/Reduce has been introduced. The Map/Reduce is basically designed for the cluster where the processing units are connected to each other with wired network, called data center. However, in the future, the wireless data center would be introduced since it has low installation and management complexity and cost. To introduce the wireless data center, we need to answer the fundamental question, 'How does Map/Reduce framework would operate in the wireless data center?' To answer the question, in this paper, we perform simulation study of the Map/Reduce application in the wireless environment. We introduce the basic simulation model and the results of the simulation study to verify the potential of the wireless data center.