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Main Title: Flows over Time: Towards a more Realistic and Computationally Tractable Model
Author(s): Hall, Alex
Schilling, Heiko
Type: Research Paper
Abstract: We introduce a novel model for "Flows over Time" which captures the behavior of cars traveling through a road network better than previous models. We show that computing an optimal solution in the new model is NP-hard and present an LP-based algorithm which we evaluate with several experiments on real world data of road networks and generated requests. Among other things we compare the quality of the solutions with solutions generated by an FPTAS for a related but considerably less realistic model.
Subject(s): approximation algorithms
dynamic flow
flow over time
graph algorithms
network flow
traffic models
Issue Date: 2004
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 90C27 Combinatorial optimization
90B10 Network models, deterministic
90B20 Traffic problems
90C35 Programming involving graphs or networks
05C85 Graph algorithms
90C59 Approximation methods and heuristics
68W25 Approximation algorithms
68Q25 Analysis of algorithms and problem complexity
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2004, 35
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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