TL;DR
This paper explores the possibility of defining a travel-time metric that accurately reflects travel times between points, proposing a max-min approach to construct such a metric.
Contribution
It introduces a novel travel-time function that satisfies metric properties, providing a mathematical foundation for travel-time based mapping.
Findings
Proposes a max-min approach for travel-time metric
Demonstrates the metric properties of the proposed function
Lays groundwork for travel-time based cartography
Abstract
Inspired by the question of whether one can create a visually informative map in which distances reflect travel-times rather than physical proximity, we examine whether it is possible to construct a meaningful travel time function between points in a region. We argue that such a function should constitute a mathematical metric, and we offer a reasonable candidate using a max-min approach.
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Taxonomy
TopicsData Visualization and Analytics · Data Management and Algorithms · Time Series Analysis and Forecasting