People | Locations | Statistics |
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Ziakopoulos, Apostolos | Athens |
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Vigliani, Alessandro | Turin |
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Catani, Jacopo | Rome |
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Statheros, Thomas | Stevenage |
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Utriainen, Roni | Tampere |
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Guglieri, Giorgio | Turin |
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Martínez Sánchez, Joaquín |
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Tobolar, Jakub |
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Volodarets, M. |
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Piwowar, Piotr |
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Tennoy, Aud | Oslo |
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Matos, Ana Rita |
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Cicevic, Svetlana |
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Sommer, Carsten | Kassel |
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Liu, Meiqi |
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Pirdavani, Ali | Hasselt |
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Niklaß, Malte |
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Lima, Pedro | Braga |
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Turunen, Anu W. |
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Antunes, Carlos Henggeler |
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Krasnov, Oleg A. |
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Lopes, Joao P. |
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Turan, Osman |
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Lučanin, Vojkan | Belgrade |
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Tanaskovic, Jovan |
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Bruneel, Herwig
in Cooperation with on an Cooperation-Score of 37%
Topics
- vehicle
- customer
- queuing
- highway traffic
- intersection
- motivation
- turning lane
- road
- variable
- production
- employee
- communication system
- public transport
- theory
- comfort
- estimating
- density
- submarine
- traffic density
- travel
- engineering
- neighborhood
- traffic flow
- transient
- travel time
- local traffic
- flux
- traffic model
- fluid
- commuter
- game theory
- waiting time
- Statistic
- infrastructure
- chain
- contrast
- Markov chain
- airport
- security
- automobile
- estimate
- filter
- T intersection
- show 13 more
Publications (6/6 displayed)
- 2022Performance analysis of a continuous-time two-class global first-come-first-served queue with two servers and presortingcitations
- 2016Discrete-time queues with variable service capacity: a basic model and its analysiscitations
- 2015Public vs. personal transportation: a rational choice based on queueing theory
- 2014Rush hour roulette and the public transport choice
- 2014A continuous-time queueing model with class clustering and global FCFS service disciplinecitations
- 2011Road splits: smooth or rough passage?
Places of action
conferencepaper
Public vs. personal transportation: a rational choice based on queueing theory
Abstract
One’s choice between public and personal transport for the daily commute depends on various factors including convenience, comfort, monetary cost and travel times. Abstracting convenience, comfort and monetary cost in a single fixed cost, we focus on the tradeoff between travel times and this cost, assuming fixed travel times for public transport. Such a tradeoff obviously depends on the decisions of other commuters, as travel times for personal transport depend on traffic density. This dependency is very well captured by the so-called fundamental diagram of traffic flow. The diagram relates traffic flux (and therefore also the travel times) to traffic density, an increased density leading to increased travel times. We propose a simple Markovian queueing model to study congestion at a macroscopic scale. Noting that travel times are hardly influenced by the presence of traffic when there is limited traffic, and that travel times are dominated by the limited capacity of the road when there is congestion, we adopt a Markovian level-dependent queueing system, service rates being sub-linear in terms of the queue content. For this queueing system we first study the stationary waiting times assuming fixed arrival rates. As the arrival rate is typically not stationary during rush hour, we then study the transient waiting times in the fluid limit. Our fluid approximation is motivated by the large amounts of road users during rush hour. Based on the fluid approximation, we determine the fraction of road users choosing for public transport at any time by game theoretic arguments. Finally, we discuss several extensions of the macroscopic model. First, the implicit assumption of exponential travel times is relaxed to phase-type distributed travel times. Secondly, we introduce a notion of local traffic density, say at the level of a neighbourhood. We then obtain a traffic model at a mesoscopic scale: the travel times no longer depend on the global density (or queue content) but on the local density.
Topics
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