Graphs, Ideal Flow, and the Transportation Network
Kardi Teknomo

TL;DR
This paper explores the mathematical relationship between transportation network structure and utilization, highlighting how the graph's pattern influences agent trajectories and overall network efficiency.
Contribution
It introduces a formal analysis linking network graph structure with utilization patterns, providing insights into how structural features affect transportation flow.
Findings
Structural patterns correlate with utilization levels.
Graph topology influences agent trajectory distribution.
Mathematical relationships between structure and flow are established.
Abstract
This lecture discusses the mathematical relationship between network structure and network utilization of transportation network. Network structure means the graph itself. Network utilization represent the aggregation of trajectories of agents in using the network graph. I show the similarity and relationship between the structural pattern of the network and network utilization.
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Taxonomy
TopicsTransportation Planning and Optimization · Data Management and Algorithms · Human Mobility and Location-Based Analysis
