An exact analysis and performance evaluation of framed ALOHA with capture

The authors present an exact analysis of framed ALOHA for the case of a finite number of users. This analysis, which is based on the use of a novel combinatorial technique, does not require any restrictive assumptions on channel traffic. This model can accommodate a general model for capture, in which the probability that one packet is received successfully depends on the number of packets involved in the collision. Performance results are presented for both uncontrolled and dynamically controlled systems.<
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