IEEE Transactions on Automatic Control · 1983 · 57 citations · 4 references
Numerical AnalysisMathematical ProgrammingIndependent InterestNumerical ComputationEngineeringComputer EngineeringSystems EngineeringNumerical StabilityParallel ProgrammingInfinite User ModelParallel ComputingStatistical EquilibriumAlgorithmic Development
The slotted ALOHA multiaccess algorithm for the infinite user model is shown to be unstable via a martingale method of independent interest. Consequently, the hypothesis of statistical equilibrium used to calculate the maximum throughput is not valid.
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