Abstract
The familiar queueing principle expressed by the formulaL=λW can be interpreted as a relation among strong laws of large numbers. In a previous paper, we showed that this principle can be extended to include relations among other classical limit theorems such as central limit theorems and laws of the iterated logarithm. Here we provide sufficient conditions for these limit theorems using regenerative structure.
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Supported by the National Science Foundation under Grant No. ECS-8404809 and by the U.S. Army under Contract No. DAAG29-80-C-0041.
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Glynn, P.W., Whitt, W. Sufficient conditions for functional-limit-theorem versions ofL = λW . Queueing Syst 1, 279–287 (1987). https://doi.org/10.1007/BF01149539
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DOI: https://doi.org/10.1007/BF01149539