# Some Notes on Geometric Interpretation of Holding-Free Solution for Urban Intersection Model

## TL;DR

This paper explores the geometric interpretation of holding-free solutions in urban intersection models, revealing that deriving HFS is a Pareto frontier-finding problem rather than just an optimization task.

## Contribution

It introduces a geometric perspective on HFS derivation, highlighting its nature as a Pareto frontier-finding problem rather than a conventional optimization.

## Key findings

- HFS derivation is a Pareto frontier-finding problem.
- Geometric diagrams facilitate understanding of HFS.
- The approach offers new insights into urban intersection modeling.

## Abstract

Conventionally, methods to solve macroscopic node model are discussed in algorithm or in algebraic point of view. In this paper, the geometric interpretation is discussed, focusing on an example in Flotterod and Rohde (2011). Via observing these diagrams, it is easy to see that deriving holding-free solution (HFS) is not just an ordinary optimisation problem, but rather a Pareto frontier-finding problem.

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Source: https://tomesphere.com/paper/1702.00593