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4376. A Mean Value Approach to Continuous Polling Models with Batch Arrivals

Invited abstract in session MD-39: Stochastic Models in Manufacturing, stream Stochastic Modelling.

Monday, 14:30-16:00
Room: 35 (building: 306)

Authors (first author is the speaker)

1. Tim Engels
Eindhoven University of Technology

Abstract

Polling models are classes of queueing models in which a server attends to
several queues. By cyclically visiting the queues, the server serves awaiting customers. The analysis of these systems is involved and provides computationally involved results. Therefore, the approximation of these models by their continuous counterparts can be quite helpful. In this talk, we analyze continuous polling models with batch arrivals and deploy a novel mean value analysis to (i) find the average spread of customers and (ii) derive some key performance statistics of polling models; delivery times and batch sojourn times. The resulting approximations are shown to already be quite accurate for polling systems with small numbers of queues.

Keywords

Status: accepted


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