Analytical expressions of maximum throughput for long-frame communications in one-way string wireless multihop networks

It is important to obtain analytical expressions of the maximum throughput in IEEE 802.11 Distributed Coordination Function (DCF) multi-hop networks. In the previous works, the analytical expressions of the maximum throughput for one-way string multi-hop networks taking into account the signal capture effect were obtained. In other researches, the analytical expressions of the maximum throughput for one-way string multi-hop networks were also obtained, which are, however, valid only for short-frame communications. There is no analytical expression for maximum throughput, which is valid for long-frame communications. This paper presents the analytical expressions of the maximum throughput for long-frame communications. For this analysis, we should make a different assumption from the previous-analyses. In the short-frame communication analyses, it is assumed that all nodes always have frames. In the presented analysis, however, we should assume that every equal to or more than three than three nodes in a string-topology network have frames. This is the most important progression in this paper. The assumptions and the analytical expressions are validated by the simulation results.