Online Companion for “Heavy Traffic Analysis of Polling Systems in Tandem”

نویسندگان

  • Martin I. Reiman
  • Lawrence M. Wein
چکیده

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Heavy Traffic Analysis of Polling Systems in Tandem

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Decomposition results for general polling systems and their applications

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Expected Delay Analysis of Polling Systems in Heavy Traffic

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Heavy traffic analysis of polling models by mean value analysis

In this paper we present a new approach to derive heavy-traffic asymptotics for polling models. We consider the classical cyclic polling model with exhaustive or gated service at each queue, and with general service-time and switch-over time distributions, and study its behavior when the load tends to one. For this model, we explore the recently proposed mean value analysis (MVA), which takes a...

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Heavy Traffic Limit Theorems for Two Tandem Polling Stations

We consider two tandem single-server stations in heavy traffic. There are two job types and they visit both stations in order. The first station processes jobs in an exhaustive service or gated service fashion and the second station uses an arbitrary nonidling service discipline. The stations have zero switch-over times. We prove heavy traffic limit theorems for the two-dimensional total worklo...

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تاریخ انتشار 1999