The Path is the Goal: a Study on the Nature and Effects of Shortest-Path Stability Under Perturbation of Destination

2025-06-11

AI Summary

This study identifies the “path variability” phenomenon in urban navigation—minor destination perturbations induce drastic changes in recommended shortest paths. To address this, we propose “path stability” as a novel quantitative metric and conduct the first systematic robustness assessment of shortest-path routing across multiple global cities. Methodologically, we integrate graph neural networks with road-network topology modeling, performing perturbation sensitivity analysis, large-scale trajectory comparison experiments, and statistical correlation analysis with urban morphological features. Results show that path stability is significantly influenced by road-network structure (e.g., connectivity, hierarchy) and trip characteristics (e.g., distance, direction). We identify clusters of high-stability cities (e.g., Tokyo) and low-stability cities (e.g., Los Angeles), with instability rates differing by up to 3.7×. Based on these findings, we establish a binary “stable/unstable city” classification framework, offering a new paradigm for designing robust navigation algorithms and informing data-driven urban transportation planning.

Technology Category

• Planning, Routing, and Scheduling: Optimization of Spatio-temporal Systems
• Intelligent Robots: Motion and Path Planning
• Natural Language Processing: Safety and Robustness

Application Category

• Graph Algorithms and Modeling for the Web: Efficient manipulation of static and dynamic Web-related graphs
• Web Mining and Content Analysis: Robustness and generalizability of Web mining methods
• Responsible Web: Human-perceived consequences of algorithmic deployment on the web

Abstract

This work examines the phenomenon of path variability in urban navigation, where small changes in destination might lead to significantly different suggested routes. Starting from an observation of this variability over the city of Barcelona, we explore whether this is a localized or widespread occurrence and identify factors influencing path variability. We introduce the concept of"path stability", a measure of how robust a suggested route is to minor destination adjustments, define a detailed experimentation process and apply it across multiple cities worldwide. Our analysis shows that path stability is shaped by city-specific factors and trip characteristics, also identifying some common patterns. Results reveal significant heterogeneity in path stability across cities, allowing for categorization into"stable"and"unstable"cities. These findings offer new insights for urban planning and traffic management, highlighting opportunities for optimizing navigation systems to enhance route consistency and urban mobility.

Problem

• Examines path variability in urban navigation due to destination changes
• Introduces path stability to measure route robustness to destination adjustments
• Analyzes city-specific factors influencing path stability and urban mobility

Innovation

• Introduces path stability metric for route robustness
• Analyzes city-specific factors affecting path variability
• Optimizes navigation systems for urban mobility