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M/M/c Queues and the Poisson Clumping Heuristic

2019/04/08 by Steven R. Finch, Finch, Steven
Business, Management and Accounting · Engineering · Computer Science · #Advanced Queuing Theory Analysis #Scheduling and Optimization Algorithms #Petri Nets in System Modeling

paper · pdf · doi:10.48550/arxiv.1904.04054

Abstract

In continuous time, customers arrive at random. Each waits until one of c servers is available; each thereafter departs at random. The distribution of maximum line length of idle customers was studied over 25 years ago. We revisit two good approximations of this, employing a discrete Gumbel formulation and detailed graphics to describe simulation outcomes.

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