A Palm calculus approach to functional versions of Little's law

Michael A Zazanis

Stochastic Processes and their Applications, 1998, vol. 74, issue 2, 195-201

Abstract: Using the generalized Campbell theorem, a functional (distributional) version of Little's law is obtained for general FIFO systems with non-anticipating arrivals. Our approach generalizes existing results and, in particular, points out the intimate relation between the Palm-Khintchine equations and the distributional law of Little. A multidimensional version of the Palm-Khintchine equations and the related version of Little's law for multiclass systems is also given, as well as an ordinal version for distributions.

Keywords: Stationary; point; processes; Palm; distributions; Stationary; queues; Little's; law (search for similar items in EconPapers)
Date: 1998
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