Find the throughput for the given assumptions

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Reference no: EM131466368

Question: Consider an unslotted CSMA/CD system in which the propagation delay is negligible compared to the time β required for a node to detect that the channel is idle or busy. Assume that each packet requires one time unit for transmission. Assume that β time units after either a successful transmission or a collision ends, all backlogged nodes attempt transmission after a random delay and that the composite process of initiation times is Poisson of rate G (up to time β after the first initiation). For simplicity, assume that each collision lasts for β time units.

(a) Find the probability that the first transmission initiation after a given idle detection is successful.

(b) Find the expected time from one idle detection to the next.

(d) Optimize the throughput numerically over G.

Reference no: EM131466368

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