Mobility Compass

• Walraevens, Joris
• Mélange, Willem
• Bruneel, Herwig

Abstract

No one likes to wait in line. Even worse is having to wait in a line that has nothing to do with your own interests. Take for instance a road split, for example a T junction. Cars on that T junction heading straight ahead may be hindered or even blocked by cars wanting to turn left, even when the road ahead is free. This is simply because they have to wait in line in a rst-come-rst-served (FCFS) manner on the road leading to the T junction. Or vice versa, cars wanting to turn left can get stuck in a trac jam of cars that have to go straight ahead. In both cases, cars have to wait in a trac jam that has nothing to do with their own destination. Our goal is to model this phenomenon and to estimate its (negative) impact. The model representing this phenomenon is a two-class queueing system with two dedicated servers and one innite queue. The system uses a %5Cglobal FCFS" service discipline, i.e. all arriving customers are accommodated in one single FCFS queue, regardless of their types. We solve this queueing system using techniques used in queueing theory. In the future, we intend to be able to give advise about the optimal length of the filter lane, i.e. a lane reserved for those making a specific turn at the next junction.

Topics

• customer
• queuing
• theory
• automobile
• estimate
• Statistic
• filter
• T intersection

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