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This letter presents a simple method to simultaneously optimize a mult
iplicity of design parameters for the adaptive automatic repeat reques
t strategy previously reported, and subsequently provides a quantitati
ve measurement that rec fleets the appropriateness of the selected par
ameters. An exact analytical expression that allows us to compute the
throughput crossover probability between the two different protocols i
s derived. The results provide fundamental insights into how these key
parameters interact and determine the system performance.