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The paper is dealing with the analysis, design and performance evaluation of a hybrid electro-optical Intra-Data Center Network, based on the Long-Range Dependence (LRD) traffic-generation model, as well as the so called "Fat-Tree" architecture. A thorough simulation of the data generation at Server level is performed, followed by the aggregation of data streams at the Top-of-Rack, Aggregation and Core Switch levels. An important contribution in this context is the differentiation of bursty, short traffic patterns from bulky, longer-lasting data streams, which are routed through Electrical Packet Switches (EPS) and Optical Circuit Switches (OCS), respectively. Based on the obtained results, a subsequent CapEx and OpEx cost evaluation is conducted.