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Routing and scheduling problems are fundamental problems in combinatorial optimization, and also have many applications. Most variations of these problems are NP-Hard, so we need to use heuristics to solve these problems on large instances,…

Data Structures and Algorithms · Computer Science 2015-02-20 Arindam Pal

Public transport is vital for meeting people's mobility needs. Providers need to plan their services well to offer high quality and low cost. Optimized planning can benefit providers, customers, and municipalities. The planning process for…

Optimization and Control · Mathematics 2023-10-23 Lucas Mertens , Lena-Antonia Wolbeck , David Rößler , Lin Xie , Natalia Kliewer

In recent years, learning-based approaches have revolutionized motion planning. The data generation process for these methods involves caching a large number of high quality paths for different queries (start, goal pairs) in various…

Robotics · Computer Science 2023-03-14 Sagar Suhas Joshi , Panagiotis Tsiotras

Planning in public transportation is traditionally done in a sequential process: After the network design process, the lines and their frequencies are planned. When these are fixed, a timetable is determined and based on the timetable, the…

Optimization and Control · Mathematics 2021-12-07 Philine Schiewe , Anita Schöbel

Every human likes choices. But today's fast route planning algorithms usually compute just a single route between source and target. There are beginnings to compute alternative routes, but this topic has not been studied thoroughly. Often,…

Data Structures and Algorithms · Computer Science 2010-02-24 Jonathan Dees , Robert Geisberger , Peter Sanders , Roland Bader

We develop efficient algorithms for a fundamental network design problem arising in potential-based flow models, which are central to many energy transport networks (e.g., hydrogen and electricity). In contrast to classical network flow…

Discrete Mathematics · Computer Science 2026-04-30 Max Klimm , Marc E. Pfetsch , Martin Skutella , Lea Strubberg

This paper studies strategies to optimize the lane configuration of a transportation network for a given set of Origin-Destination demands using a planning macroscopic network flow model. The lane reversal problem is, in general, NP-hard…

Optimization and Control · Mathematics 2021-07-16 Salomon Wollenstein-Betech , Ioannis Ch. Paschalidis , Christos G. Cassandras

We study real-time routing policies in smart transit systems, where the platform has a combination of cars and high-capacity vehicles (e.g., buses or shuttles) and seeks to serve a set of incoming trip requests. The platform can use its…

Optimization and Control · Mathematics 2021-03-22 Siddhartha Banerjee , Chamsi Hssaine , Noémie Périvier , Samitha Samaranayake

We investigate the problem of scheduling the maintenance of edges in a network, motivated by the goal of minimizing outages in transportation or telecommunication networks. We focus on maintaining connectivity between two nodes over time;…

Data Structures and Algorithms · Computer Science 2017-02-01 Fidaa Abed , Lin Chen , Yann Disser , Martin Groß , Nicole Megow , Julie Meißner , Alexander T. Richter , Roman Rischke

There are so many vehicles in the world and the number of vehicles is increasing rapidly. To alleviate the parking problems caused by that, the smart parking system has been developed. The parking planning is one of the most important parts…

Data Structures and Algorithms · Computer Science 2017-08-29 Xuejian Zhao , Kui Zhao , Feng Ha

This study evaluates path sets generation for route choice models in multimodal public transportation networks, using both conventional (network algorithms) and empirical (smart card data driven) methods. While the empirical approach can…

Physics and Society · Physics 2025-03-25 Georges Sfeir , Filipe Rodrigues , Ravi Seshadri , Carlos Lima Azevedo

Public transport routes sharing the same grid of streets and tracks are often found to proceed in parallel along shorter or longer sequences of stations. Similar phenomena are observed in other networks built with space consuming links such…

Physics and Society · Physics 2015-05-13 B. Berche , C. von Ferber , T. Holovatch

We study the problem of planning routes in road networks when certain streets or areas are closed at certain times. For heavy vehicles, such areas may be very large since many European countries impose temporary driving bans during the…

Data Structures and Algorithms · Computer Science 2020-04-21 Alexander Kleff , Frank Schulz , Jakob Wagenblatt , Tim Zeitz

We introduce a parallel machine scheduling problem in which the processing times of jobs are not given in advance but are determined by a system of linear constraints. The objective is to minimize the makespan, i.e., the maximum job…

Data Structures and Algorithms · Computer Science 2015-10-30 Kameng Nip , Zhenbo Wang , Zizhuo Wang

In this paper, we address a bicriteria network design problem that arises from practical applications in urban and rural public transportation planning. We establish the problem's complexity and demonstrate inapproximability results,…

Optimization and Control · Mathematics 2025-08-08 Dominik Leib , Susanne Fritzler , Neele Leithäuser

Designing fare systems for public transportation networks is a challenging task. A popular approach is to partition the network into fare zones (``zoning'') and fix journey prices depending on the number of traversed zones (``pricing''). In…

Data Structures and Algorithms · Computer Science 2026-04-27 Martin Hoefer , Lennart Kauther , Philipp Pabst , Britta Peis , Khai Van Tran

We study extensions of the classic \emph{Line Cover} problem, which asks whether a set of $n$ points in the plane can be covered using $k$ lines. Line Cover is known to be NP-hard, and we focus on two natural generalizations. The first is…

Computational Geometry · Computer Science 2026-03-26 Matthias Bentert , Fedor v. Fomin , Petr A. Golovach , Souvik Saha , Sanjay Seetharaman , Kirill Simonov , Anannya Upasana

The branched transport problem, a popular recent variant of optimal transport, is a non-convex and non-smooth variational problem on Radon measures. The so-called urban planning problem, on the contrary, is a shape optimization problem that…

Optimization and Control · Mathematics 2022-06-15 Julius Lohmann , Bernhard Schmitzer , Benedikt Wirth

Path planning in a changing environment is a challenging task in robotics, as moving objects impose time-dependent constraints. Recent planning methods primarily focus on the spatial aspects, lacking the capability to directly incorporate…

Robotics · Computer Science 2024-10-29 Xi Huang , Gergely Sóti , Christoph Ledermann , Björn Hein , Torsten Kröger

We consider a stylized formal model of public transportation, where a set of agents need to travel along a given road, and there is a bus that runs the length of this road. Each agent has a left terminal and a right terminal between which…

Computer Science and Game Theory · Computer Science 2025-09-24 Martin Bullinger , Edith Elkind , Mohamad Latifian