The Supermarket Model with Bounded Queue Lengths in Equilibrium
نویسندگان
چکیده
منابع مشابه
On the Maximum Queue Length in the Supermarket Model
There are n queues, each with a single server. Customers arrive in a Poisson process at rate λn, where 0< λ < 1. Upon arrival each customer selects d ≥ 2 servers uniformly at random, and joins the queue at a least-loaded server among those chosen. Service times are independent exponentially distributed random variables with mean 1. We show that the system is rapidly mixing, and then investigate...
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There are n queues, each with a single server. Customers arrive in a Poisson process at rate λn, where 0 < λ < 1. Upon arrival each customer selects d ≥ 2 servers uniformly at random, and joins the queue at a leastloaded server among those chosen. Service times are independent exponentially distributed random variables with mean 1. We show that the system is rapidly mixing, and then investigate...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2018
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-018-2044-7