A diffusion approximation to a single airport queue
This paper illustrates a continuum approximation to queuing problems at a single airport, adapted from the well-known diffusion approximation, as encapsulated in the Kolmogorov forward equation of stochastic processes or the Fokker–Planck equation of physics. The continuum model is derived using special artifacts of the airport problem context, and a numerical solution scheme based on the finite element method is presented. The results are compared against known stationary results from the M/M/1 process, as well as against airport scenarios generated from real demand and supply data. In both cases, a Monte Carlo simulation is used to provide ground truth results against which to compare the diffusion model, and is shown that the results between the Monte Carlo and diffusion models match quite closely.
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Availability:
- Find a library where document is available. Order URL: http://worldcat.org/issn/0968090X
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Supplemental Notes:
- Abstract reprinted with permission from Elsevier.
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Authors:
- Lovell, David J
- Vlachou, Kleoniki
- Rabbani, Tarek
- Bayen, Alexandre
- Publication Date: 2013-8
Language
- English
Media Info
- Media Type: Print
- Features: Figures; References;
- Pagination: pp 227-237
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Serial:
- Transportation Research Part C: Emerging Technologies
- Volume: 33
- Issue Number: 0
- Publisher: Elsevier
- ISSN: 0968-090X
- Serial URL: http://www.sciencedirect.com/science/journal/0968090X
Subject/Index Terms
- TRT Terms: Airport operations; Finite element method; Flight delays; Mathematical models; Traffic queuing
- Identifier Terms: National Airspace System
- Subject Areas: Aviation; Operations and Traffic Management; I72: Traffic and Transport Planning; I73: Traffic Control;
Filing Info
- Accession Number: 01489557
- Record Type: Publication
- Files: TRIS
- Created Date: Aug 12 2013 4:45PM