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Polling Systems: Moment Stability of Station Times and Central Limit Theorems

机译：轮询系统：台站时间和中心极限定理的矩稳定性

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摘要

The station times are an important measure of performance in polling systems, andare often used to determine efficiently other performance measures, such as waiting times. In this paper the authors give sufficient and necessary conditions for the existence of all moments of station times in steady state. Moreover, they show that the transient moments converge geometrically fast. They then address the question of the rate of convergence of the sample averages of functions of the station times. They establish the applicability of central limit theorems (CLT) and the law of iterated logarithm (LIL) for all moments of the station times. In particular, they compute explicitly the constants involved in the CLT and LIL for the cycle durations.

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