TCP/IP 是現今主要的網際網路協定，它原本只是針對有線環境的擁塞控制而設定的。封包在無線環境中經常的random loss是有線環境中所沒有的。因此，TCP在無線環境的效能比在有線環境還差。所以用數學分析來模擬無線TCP的效能是有必要的，此外在我們的分析中也考慮到RED及DropTail路由的效應。因而無線TCP的傳輸率可以用RED路由的平均佇列長度及無線環境random loss機率的函式來表示。

此外我們也使用Forward Error Correction 來減低封包的遺失率，並且自動的調整Reed-Solomon碼的比率來最佳化無線TCP的傳輸效能。而使用Reed-Solomon碼的無線TCP傳輸率也以數學來加以分析。

TCP/IP is the dominant protocol in today’s Internet. Basically, it was designed only to perform congestion control for wired environment. The wireless environment is quite different from wired one, and packet loss in the wireless environment is due to random loss frequently. For this reason, the performance of TCP in the wireless environment is worse than in the wired one. Therefore, modeling the wireless TCP throughput by mathematical analysis is a desirable method to understand the performance of TCP in wireless. In addition, the effect of RED and DropTail routers are considered in our mathematical analysis. The wireless TCP throughput is modeled as a function of wireless loss rate and average queue length of RED router.

Moreover, we use Forward Error Correction to improve the packet loss rate and maximize the wireless TCP performance by adjusting the Reed-Solomon code rate automatically. The throughput of wireless TCP with Reed-Solomon codes was also modeled.

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