【摘 要】
：
Two types of the law of the iterated logarithm(LIL)and one functional LIL(FLIL)are established for a two-stage tandem queue.The LIL and FLIL limits quantify
【机 构】
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BeijingUniversityofPostsandTelecommunications,China
【出 处】
：
2016随机微分方程和随机过程研讨会(Workshop on SDEs and Stochastic Processes
论文部分内容阅读
Two types of the law of the iterated logarithm(LIL)and one functional LIL(FLIL)are established for a two-stage tandem queue.The LIL and FLIL limits quantify the magnitude of asymptotic stochastic fluctuations of stochastic processes compensated by their deterministic fluid limits in two forms: the numerical and functional,respectively.The LIL and FLIL limits are established in twelve cases covering three regimes: underloaded,critically loaded and overloaded,for five processes: the queue length,workload,busy,idle and departure processes.The proofs are based on a strong approximation,which approximates discrete performance processes with reflected Brownian motions.
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