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Strong Approximation Method and the(Functional) Law of Itera

發(fā)布時間:2021-01-19 09:08
  In this paper, a unified method based on the strong approximation(SA) of renewal process(RP) is developed for the law of the iterated logarithm(LIL) and the functional LIL(FLIL), which quantify the magnitude of the asymptotic rate of the increasing variability around the mean value of the RP in numerical and functional forms respectively. For the GI/G/1 queue, the method provides a complete analysis for both the LIL and the FLIL limits for four performance functions: The queue length, workload, ... 

【文章來源】:Journal of Systems Science & Complexity. 2017,30(05)

【文章頁數(shù)】:10 頁

【文章目錄】:
1 Introduction
2 SA Method
3 GI/G/1 Queue Model and Its LIL and FLIL
    3.1 GI/G/1 Queue Model
    3.2 The LIL and FLIL Results
4 Conclusions



本文編號:2986724

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