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arXiv · 1906.07021

How Long Might We Wait at Random?

Steven Finch
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Abstract

In discrete time, customers arrive at random. Each waits until one of three servers is available; each thereafter departs at random. We seek the distribution of maximum line length of idle customers. Algebraic expressions obtained for the two-server scenario do not appear feasible here. We also review well-known distributional results for maximum wait time associated with an M/M/1 queue and speculate about their generalization.

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Steven Finch. 2019-06-14. How Long Might We Wait at Random?. https://arxiv.org/abs/1906.07021

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