most citedClosed-Form Waiting Time Approximations for Polling Systems

26 citations · 110 across the 14 of their papers we have counts for

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math.PR20161 cited

Optimal routing in two-queue polling systems

I. J. B. F. Adan, V. G. Kulkarni, N. Lee +1

We consider a polling system with two queues, exhaustive service, no switch-over times and exponential service times. The waiting cost depends on the position of the queue relative…

math.PR201426 cited

Closed-Form Waiting Time Approximations for Polling Systems

Marko Boon, Erik Winands, Ivo Adan +1

A typical polling system consists of a number of queues, attended by a single server in a fixed order. The vast majority of papers on polling systems focusses on Poisson arrivals,…

math.PR201412 cited

A Polling Model with Smart Customers

Marko Boon, Sandra van Wijk, Ivo Adan +1

In this paper we consider a single-server, cyclic polling system with switch-over times. A distinguishing feature of the model is that the rates of the Poisson arrival processes at…

math.PR201412 cited

Mixed Gated/Exhaustive Service in a Polling Model with Priorities

Marko Boon, Ivo Adan

In this paper we consider a single-server polling system with switch-over times. We introduce a new service discipline, mixed gated/exhaustive service, that can be used for queues…

math.PR2014

A Two-Queue Polling Model with Two Priority Levels in the First Queue

Marko Boon, Ivo Adan, Onno Boxma

In this paper we consider a single-server cyclic polling system consisting of two queues. Between visits to successive queues, the server is delayed by a random switch-over time. T…

math.PR2014

Corrected phase-type approximations of heavy-tailed queueing models in a Markovian environment

Eleni Vatamidou, Ivo J. B. F. Adan, Maria Vlasiou +1

We develop accurate approximations of the delay distribution of the MArP/G/1 queue that cap- ture the exact tail behavior and provide bounded relative errors. Motivated by statisti…