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Medium access control (MAC) protocols have a large impact on the system performance for wireless ad hoc networks. Because of the limitations of existing analytical models for ad hoc networks, many researchers have to study the impact of MAC protocols via discrete simulations. In this paper, in order to improve this disadvantage, we provided an analytical model to compute of 802.11 DCF wireless multi-hop networkspsila throughput, with the assumption of finite number of terminals. This analytical model considers wireless network MAC layer in multi-hop non-saturated situation and also quantitatively computes the function of packet discard ratio factor. The simulation result shows that even in multi-hop situation, this network throughput model is still matching well with the actual wireless Ad-Hoc networks.