Software-Defined Networking (SDN) makes it possible to create networks that are adaptable and programmable through creating ways in which switches are able to forward the packets that are received based on the flow entries. The current work presents the model towards the visual representation of a network as well as evaluating its performance using OpenFlow SDN and MMPP. Mininet was used to evaluate the packet traffic in the network topology, whereas, the MMPP queue model was evaluated with matrix engineering. They help in network planning, in evaluating the consequences of traffic increase on the network and in understanding how various traffic rates are influenced by the network. It helps the network managers and planners to es-timate how much the performance of the whole network can change because of the difference in the traffic conditions and presents a precise tool facilitating the analysis, planning and scaling of IP networks. Further, it is suggested to apply the MMPP analysis to enhance knowledge of trends and performance indicators of the network. Lastly, issues and limitations of SDN and MMPP are discussed as part of reception improvements and to deal with areas that were considered in-sufficient in managing and evaluating the performance of the corresponding network.