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A general Continuum Approximation (CA) model is proposed for optimizing transit network designs (TND) in grid cities under spatially heterogeneous demand. While conventional studies often assume rigid geometric line configurations (e.g.,…

Applied Physics · Physics 2026-05-25 Wenbo Fan , Haoyang Mao , Li Zhen , Weihua Gu

In most cities, transit consists solely of fixed-route transportation, whence the inherent limited Quality of Service for travellers in suburban areas and during off-peak periods. On the other hand, completely replacing fixed-route (FR)…

General Economics · Economics 2023-02-01 Giovanni Calabro' , Andrea Araldo , Simon Oh , Ravi Seshadri , Giuseppe Inturri , Moshe Ben-Akiva

This study presents a multi-zone queuing network model for steady-state ride-pooling operations that serve heterogeneous demand, and then builds upon this model to optimize the design of ride-pooling services. Spatial heterogeneity is…

Optimization and Control · Mathematics 2023-06-29 Yining Liu , Yanfeng Ouyang

Improving accessibility is one of the major issues in rural and suburban transportation. With the recent technological improvement of automated vehicles, it is expected that automated demand responsive transit and automated demand…

Physics and Society · Physics 2019-04-17 Young-Jae Lee , Amirreza Nickkar , Mana Meskar

This paper studies line planning for urban bus networks that face multiple resource limits such as budget, labor, and emission caps while using heterogeneous fleets. The objective is to maximize total reward from serving passengers by…

Optimization and Control · Mathematics 2026-04-07 Hongyi Jiang , Igor Averbakh , Samitha Samaranayake

It is commonly seen that buses are blocked by the ones in front serving passengers and have to queue outside a curbside bus stop although there are vacant berths at the stop. The resultant bus delays degrade the service level of urban…

Optimization and Control · Mathematics 2021-11-30 Wanjing Ma , Shiqi Ou , Chunhui Yu

Accurate forecasting of bus ridership (passengers numbers) is crucial for efficient management and optimization of public transport systems. Traditional forecasting models often fail to capture the unique and localized dynamics of different…

Machine Learning · Computer Science 2026-05-04 Daniel Azenkot , Michael Fire , Eran Ben Elia

The technology-enabled ride-pooling (RP) is designed as an on-demand feeder service to connect remote areas to transit terminals (or activity centers). We propose the so-called ``hold-dispatch'' operation strategy, which imposes a target…

Physics and Society · Physics 2024-05-22 Wenbo Fan , Weihua Gu , Meng Xu

Transit vehicles operating under skip-stop service visit only a subset of the stops residing along a corridor. It is a strategy commonly used to increase vehicle speeds and reduce patron travel times. The present paper develops a continuous…

Optimization and Control · Mathematics 2021-07-19 Yu Mei , Weihua Gu , Michael Cassidy , Wenbo Fan

This paper addresses the on-demand meeting-point-based feeder electric bus routing and charging scheduling problem under charging synchronization constraints. The problem considered exhibits the structure of the location routing problem,…

Optimization and Control · Mathematics 2024-02-12 Tai-Yu Ma , Yumeng Fang , Richard D. Connors , Francesco Viti , Haruko Nakao

Shared Autonomous Vehicles (SAVs) enable transit agencies to design more agile and responsive services at lower operating costs. This study designs and evaluates a semi-on-demand hybrid route directional service in the public transit…

Systems and Control · Electrical Eng. & Systems 2026-02-24 Max T. M. Ng , Florian Dandl , Hani S. Mahmassani , Klaus Bogenberger

Background: The development of public transit network can enhance the efficiency of the system as well as raise interest to use the system. Feeder bus service fills the area that is far from the railway system; therefore, designing a feeder…

Physics and Society · Physics 2022-05-11 Saeed Sani , Mehdi Ghatee

This paper develops a semi-on-demand transit feeder service using shared autonomous vehicles (SAVs) and zonal dispatching control based on reinforcement learning (RL). This service combines the cost-effectiveness of fixed-route transit with…

Machine Learning · Computer Science 2025-09-03 Max T. M. Ng , Roman Engelhardt , Florian Dandl , Hani S. Mahmassani , Klaus Bogenberger

Previously, transport networks are usually treated as homogeneous networks, that is, every node has the same function, simultaneously providing and requiring resources. However, some real networks, such as power grid and supply chain…

Data Analysis, Statistics and Probability · Physics 2010-06-08 Yu-Han Chen , Bing-Hong Wang , Li-Chao Zhao , Changsong Zhou , Tao Zhou

We study a spatiotemporal service matching problem in which demand, heterogeneous in location and time sensitivity/preference, is to be assigned to service stations. The planner seeks to maximize social welfare, defined as total service…

Theoretical Economics · Economics 2026-03-17 Mingyang Fu , Ming Hu

This paper studies the optimal spatial pricing for a ride-sourcing platform subject to a congestion charge. The platform determines the ride prices over the transportation network to maximize its profit, while the regulatory agency imposes…

Optimization and Control · Mathematics 2021-07-20 Sen Li , Hai Yang , Kameshwar Poolla , Pravin Varaiya

The intelligent upgrading of metropolitan rail transit systems has made it feasible to implement demand-side management policies that integrate multiple operational strategies in practical operations. However, the tight interdependence…

Optimization and Control · Mathematics 2025-11-10 Lixing Yang , Yahan Lu , Jiateng Yin , Shadi Sharif Azadeh

We envision a multimodal transportation system where Mobility-on-Demand (MoD) service is used to serve the first mile and last mile of transit trips. For this purpose, the current research formulates an optimization model for designing an…

Optimization and Control · Mathematics 2022-11-28 Pramesh Kumar , Alireza Khani

Hyperconnected relay transportation enables using a relay system of short-haul drivers to deliver long-haul shipments collectively, which helps address root causes of trucker shortage issues by transforming working conditions with…

Optimization and Control · Mathematics 2024-02-12 Jingze Li , Xiaoyue Liu , Mathieu Dahan , Benoit Montreuil

This paper considers the design of On-Demand Multimodal Transit Systems (ODMTS) that combine fixed bus/rail routes between transit hubs with on-demand shuttles that serve the first/last miles to/from the hubs. The design problem aims at…

Optimization and Control · Mathematics 2022-02-01 Ramon Auad , Pascal Van Hentenryck
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