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1672. Analysis of Waiting Times in a Novel Two-Class Queueing Model Motivated by Road Traffic

Invited abstract in session MB-40: Advances in Stochastic Modelling and Applied Probability Ι, stream Advances in Stochastic Modelling and Learning Methods.

Monday, 10:30-12:00
Room: 96 (building: 306)

Authors (first author is the speaker)

1. Joris Walraevens
Ghent University
2. Sara Sasaninejad
Ghent University
3. Sabine Wittevrongel
TELIN, Ghent University

Abstract

Multiple vehicle types typically use the same roads simultaneously. These different types do not only differ in attainable speeds but also in feasible accelerations and decelerations. For instance, freight vehicles accelerate at a slower pace than normal vehicles leading to slower queue dissipation at for instance intersections and creating gaps in these queues. In this paper, we propose a novel discrete-time FCFS queueing model with two types of traffic (freight and regular vehicles for instance) where service times depend on whether freight vehicles are present or not at the start of these service times. We analyze the delay of individual vehicles of both types and characterize gap lengths created by different accelerations of different vehicle types.

Keywords

Status: accepted


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