Column Generation for the Micro-Transit Zoning Problem

Fuente: arXiv
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Main Authors: Hu, Hins, Sen, Rishav, Talusan, Jose Paolo, Dubey, Abhishek, Laszka, Aron, Samaranayake, Samitha
Format: Preprint
Published: 2026
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author Hu, Hins
Sen, Rishav
Talusan, Jose Paolo
Dubey, Abhishek
Laszka, Aron
Samaranayake, Samitha
author_facet Hu, Hins
Sen, Rishav
Talusan, Jose Paolo
Dubey, Abhishek
Laszka, Aron
Samaranayake, Samitha
contents Along with the rapid development of new urban mobility options like ride-sharing over the past decade, on-demand micro-transit services stand out as a middle ground, bridging the gap between fixed-line mass transit and single-request ride-hailing, balancing ridership maximization and travel time minimization. Micro-transit adoption can have significant social impact. It improves urban sustainability, through lower energy consumption and reduced emissions, while enhancing equitable mobility access for disadvantaged communities, thanks to its lower vehicle miles per passenger, flexible schedules, and affordable pricing. However, effective operation of micro-transit services requires planning geo-fenced zones in advance, which involves solving a challenging combinatorial optimization problem. Existing approaches enumerate candidate zones first and selects a fixed number of optimal zones in the second step. In this paper, we generalize the Micro-Transit Zoning Problem (MZP) to allow a global budget rather than imposing a size limit for candidate zones. We also design a Column Generation (CG) framework to solve the problem and several pricing heuristics to accelerate computation. Extensive numerical experiments across major U.S. cities demonstrate that our approach produces higher-quality solutions more efficiently and scales better in the generalized setting.
format Preprint
id arxiv_https___arxiv_org_abs_2603_07821
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Column Generation for the Micro-Transit Zoning Problem
Hu, Hins
Sen, Rishav
Talusan, Jose Paolo
Dubey, Abhishek
Laszka, Aron
Samaranayake, Samitha
Optimization and Control
Artificial Intelligence
Along with the rapid development of new urban mobility options like ride-sharing over the past decade, on-demand micro-transit services stand out as a middle ground, bridging the gap between fixed-line mass transit and single-request ride-hailing, balancing ridership maximization and travel time minimization. Micro-transit adoption can have significant social impact. It improves urban sustainability, through lower energy consumption and reduced emissions, while enhancing equitable mobility access for disadvantaged communities, thanks to its lower vehicle miles per passenger, flexible schedules, and affordable pricing. However, effective operation of micro-transit services requires planning geo-fenced zones in advance, which involves solving a challenging combinatorial optimization problem. Existing approaches enumerate candidate zones first and selects a fixed number of optimal zones in the second step. In this paper, we generalize the Micro-Transit Zoning Problem (MZP) to allow a global budget rather than imposing a size limit for candidate zones. We also design a Column Generation (CG) framework to solve the problem and several pricing heuristics to accelerate computation. Extensive numerical experiments across major U.S. cities demonstrate that our approach produces higher-quality solutions more efficiently and scales better in the generalized setting.
title Column Generation for the Micro-Transit Zoning Problem
topic Optimization and Control
Artificial Intelligence
url https://arxiv.org/abs/2603.07821