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The Urban Rail Transit (URT) has been one of the major trip modes in cities worldwide. As the passengers arrive at variable rates in different time slots, e.g., rush and non-rush hours, the departure frequency at a site directly relates to…

Computer Science and Game Theory · Computer Science 2017-01-10 Jiao Ma , Changle Li , Weiwei Dong , Zhe Liu , Tom H. Luan , Lina Zhu , Lei Xiong

Schematic maps are in daily use to show the connectivity of subway systems and to facilitate travellers to plan their journeys effectively. This study surveys up-to-date algorithmic approaches in order to give an overview of the state of…

Physics and Society · Physics 2022-08-16 Hsiang-Yun Wu , Benjamin Niedermann , Shigeo Takahashi , Martin Nöllenburg

Neural operators have proven to be a promising approach for modeling spatiotemporal systems in the physical sciences. However, training these models for large systems can be quite challenging as they incur significant computational and…

Machine Learning · Computer Science 2023-12-12 Michael McCabe , Peter Harrington , Shashank Subramanian , Jed Brown

Motivated by applications to a wide range of assemble-to-order systems, operations scheduling, healthcare systems and collaborative economy applications, we introduce a stochastic matching model on hypergraphs, extending the model in [15]…

Probability · Mathematics 2019-07-31 Youssef Rahmé , Pascal Moyal

Determination of the most economic strategies for supply and transmission of electricity is a daunting computational challenge. Due to theoretical barriers, so-called NP-hardness, the amount of effort to optimize the schedule of generating…

Optimization and Control · Mathematics 2017-07-13 Ramtin Madani , Alper Atamturk , Ali Davoudi

We consider the line planning problem in public transportation, under a robustness perspective. We present a mechanism for robust line planning in the case of multiple line pools, when the line operators have a different utility function…

Computer Science and Game Theory · Computer Science 2015-05-27 Apostolos Bessas , Spyros Kontogiannis , Christos Zaroliagis

In this study, we propose a three-stage framework for the planning and scheduling of high-capacity mobility-on-demand services (e.g., micro transit and flexible transit) at urban activity hubs. The proposed framework consists of (1) the…

Optimization and Control · Mathematics 2020-08-26 Xinwu Qian , Jiawei Xue , Satish V. Ukkusuri

Railway systems form an important means of transport across the world. However, congestions or disruptions may significantly decrease these systems' efficiencies, making predicting and understanding the resulting train delays a priority for…

Physics and Society · Physics 2021-05-14 Mark M. Dekker , Alexey N. Medvedev , Jan Rombouts , Grzegorz Siudem , Liubov Tupikina

Real-life parallel machine scheduling problems can be characterized by: (i) limited information about the exact task duration at scheduling time, and (ii) an opportunity to reschedule the remaining tasks each time a task processing is…

Optimization and Control · Mathematics 2023-11-22 Izack Cohen , Krzysztof Postek , Shimrit Shtern

Microtransit offers opportunities to enhance urban mobility by combining the reliability of public transit and the flexibility of ride-sharing. This paper optimizes the design and operations of a deviated fixed-route microtransit system…

Optimization and Control · Mathematics 2025-06-12 Bernardo Martin-Iradi , Alexandria Schmid , Kayla Cummings , Alexandre Jacquillat

This thesis proposes mathematical traffic models and control laws for metro lines with one junction. The models are based on the ones developed for linear metro lines (without junction) in [12, 14]. The train dynamics are described with a…

Optimization and Control · Mathematics 2020-10-27 Florian Schanzenbächer

This paper addresses the problem of scheduling jobs on identical machines with conflict constraints, where certain jobs cannot be scheduled simultaneously on different machines. We focus on the case where conflicts can be represented by a…

Discrete Mathematics · Computer Science 2025-07-03 Nour ElHouda Tellache , Lydia Aoudia , Mourad Boudhar

A line plan is an important aspect of the quality of the service provided to railway passengers. Although it is well-known that railway demand is varying throughout the day in volume and structure, the line plan is often still fixed…

Optimization and Control · Mathematics 2025-09-03 Renate J. H. van der Knaap , Niels van Oort , Menno de Bruyn , Rob M. P. Goverde

Neural forecasting of spatiotemporal time series drives both research and industrial innovation in several relevant application domains. Graph neural networks (GNNs) are often the core component of the forecasting architecture. However, in…

Machine Learning · Computer Science 2023-02-21 Andrea Cini , Ivan Marisca , Filippo Maria Bianchi , Cesare Alippi

Graph convolutional networks (GCNs) have gained popularity due to high performance achievable on several downstream tasks including node classification. Several architectural variants of these networks have been proposed and investigated…

Machine Learning · Computer Science 2020-04-09 Rahul Ragesh , Sundararajan Sellamanickam , Vijay Lingam , Arun Iyer

Spatial-temporal (ST) graph modeling, such as traffic speed forecasting and taxi demand prediction, is an important task in deep learning area. However, for the nodes in graph, their ST patterns can vary greatly in difficulties for…

Machine Learning · Computer Science 2022-11-29 Hongjun Wang , Jiyuan Chen , Tong Pan , Zipei Fan , Boyuan Zhang , Renhe Jiang , Lingyu Zhang , Yi Xie , Zhongyi Wang , Xuan Song

Combinatorial optimization algorithms for graph problems are usually designed afresh for each new problem with careful attention by an expert to the problem structure. In this work, we develop a new framework to solve any combinatorial…

Efficiently solving the Job Shop Scheduling Problem in real-world industrial applications requires policies that are both computationally lean and topologically robust. While Reinforcement Learning has shown potential in automating…

Machine Learning · Computer Science 2026-04-28 Jonathan Hoss , Moritz Link , Noah Klarmann

Uncertainty in surgery durations continues to be difficult to account for in operating room scheduling. In particular, it remains complex to accurately incorporate uncertainty in surgical overtime constraints within mixed-integer linear…

Optimization and Control · Mathematics 2026-04-29 Cindy Pistorius , J. Theresia van Essen

Regenerating braking energy is one major pathway to make rail traffic energy-efficient. It is therefore desirable to design timetables that exploit this feature. However, timetables that allow to regenerate energy are often bad for the…

Optimization and Control · Mathematics 2026-05-05 Sarah Roth , Sven Jäger , Niels Lindner , Anita Schöbel