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An M/MMGI/1/K queuing model is developed for the analysis of IEEE 802.11 DCF using RTS/CTS. Results are based on arbitrary contention conditions, namely, collision probabilities, transmission probabilities and contention window sizes vary arbitrarily among nodes contending for channel access. This is fundamentally different from earlier work. Results are… (More)
In this paper, two Markov chain queuing models have been developed to obtain closed-form solutions for packet delay and packet throughput distributions in a real-time wireless communication environment using IEEE 802.11 DCF. An M/G/1/K queuing model is incorporated in both models. In the first model results are based on arbitrary contention conditions,… (More)
Hidden nodes are a basic problem that can potentially influence any multi-hop wireless networks where nodes cannot hear each other. Even though the hidden node problem is well known, its effects have not been quantified so well in a comprehensive manner up to now. This paper presents a novel framework for the queuing analysis towards getting a quantitative… (More)
In this paper, real matrix representations of split quaternions are examined in terms of the casual character of quaternion. Then, we give De-Moivre' s formula for real matrices of timelike and spacelike split quaternions, separately. Finally, we state the Euler theorem for real matrices of pure split quaternions.
In this paper, we investigate the surfaces generated by binormal motion of Bertrand curves, which is called Razzaboni surface, in Minkowski 3-space. We discussed the geometric properties of these surfaces in M 3 according to the character of Bertrand geodesics. Then, we define the Razzaboni transformation for a given Razzaboni surface. In other words, we… (More)