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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

We propose a new pricing strategy for column generation (CG), referred to as Template pricing. This method is motivated by the desire to coordinate solutions of different pricing subproblems in order to accelerate the convergence of the CG…

Optimization and Control · Mathematics 2026-04-15 Luke Marshall , Prachi Shah , Santanu S. Dey

We present a neural network-enhanced column generation (CG) approach for a parallel machine scheduling problem. The proposed approach utilizes an encoder-decoder attention model, namely the transformer and pointer architectures, to develop…

Machine Learning · Computer Science 2024-10-22 Amira Hijazi , Osman Ozaltin , Reha Uzsoy

High-speed railway stations are crucial junctions in high-speed railway networks. Compared to operations on the tracks between stations, trains have more routing possibilities within stations. As a result, track allocation at a station is…

Optimization and Control · Mathematics 2024-05-03 Qin Zhang , Richard Martin Lusby , Pan Shang , Chang Liu , Wenqian Liu

Meal delivery services provided by platforms with integrated delivery systems are becoming increasingly popular. This paper adopts a rolling horizon approach to solve the meal delivery routing problem (MDRP). To improve delivery efficiency…

Systems and Control · Electrical Eng. & Systems 2023-05-10 Lejun Zhou , Anke Ye , Simon Hu

Temporal graphs represent graph evolution over time, and have been receiving considerable research attention. Work on expressing temporal graph patterns or discovering temporal motifs typically assumes relatively simple temporal…

Databases · Computer Science 2022-05-31 Amir Pouya Aghasadeghi , Jan Van den Bussche , Julia Stoyanovich

In this paper, we study the complexity of the periodic temporal graph realization problem with respect to upper bounds on the fastest path durations among its vertices. This constraint with respect to upper bounds appears naturally in…

Data Structures and Algorithms · Computer Science 2025-04-22 George B. Mertzios , Hendrik Molter , Nils Morawietz , Paul G. Spirakis

We propose an analytic solution to the problem of finding optimal driving strategies that minimize total tractive energy consumption for a fleet of trains travelling on the same track in the same direction subject to clearance-time equality…

Optimization and Control · Mathematics 2022-06-17 Amie Albrecht , Phil Howlett , Peter Pudney

This paper presents a method based on linear programming for trajectory planning of automated vehicles, combining obstacle avoidance, time scheduling for the reaching of waypoints and time-optimal traversal of tube-like road segments.…

Systems and Control · Computer Science 2017-07-25 Mogens Graf Plessen

The discrete Wasserstein barycenter problem is a minimum-cost mass transport problem for a set of discrete probability measures. Although an exact barycenter is computable through linear programming, the underlying linear program can be…

Optimization and Control · Mathematics 2022-02-09 Steffen Borgwardt , Stephan Patterson

The growth in online shopping and third party logistics has caused a revival of interest in finding optimal solutions to the large scale in-transit freight consolidation problem. Given the shipment date, size, origin, destination, and due…

Optimization and Control · Mathematics 2018-01-29 Abdulkader S Hanbazazah , Luis E. Abril , Nazrul I Shaikh , Murat Erkoc

We consider the problem of coordinating a fleet of robots in a warehouse so as to maximize the reward achieved within a time limit while respecting problem and robot specific constraints. We formulate the problem as a weighted set packing…

Artificial Intelligence · Computer Science 2020-06-11 Naveed Haghani , Jiaoyang Li , Sven Koenig , Gautam Kunapuli , Claudio Contardo , Julian Yarkony

Tensor train (TT) format is a common approach for computationally efficient work with multidimensional arrays, vectors, matrices, and discretized functions in a wide range of applications, including computational mathematics and machine…

Numerical Analysis · Mathematics 2022-09-30 Andrei Chertkov , Gleb Ryzhakov , Georgii Novikov , Ivan Oseledets

Given a graph whose arc traversal times vary over time, the Time-Dependent Travelling Salesman Problem consists in finding a Hamiltonian tour of least total duration covering the vertices of the graph. The main goal of this work is to…

Artificial Intelligence · Computer Science 2023-01-05 Tommaso Adamo , Gianpaolo Ghiani , Pierpaolo Greco , Emanuela Guerriero

Generation and Transmission Expansion Planning (GTEP) problems co-optimize generation and transmission expansion, enabling them to provide better planning decisions than traditional Generation Expansion Planning or Transmission Expansion…

Optimization and Control · Mathematics 2026-04-01 David L. Cole , Michael Lau , Xinliang Dai , Sambuddha Chakrabarti , Jesse D. Jenkins

Passenger clustering based on trajectory records is essential for transportation operators. However, existing methods cannot easily cluster the passengers due to the hierarchical structure of the passenger trip information, including…

Machine Learning · Statistics 2023-11-01 Ziyue Li , Hao Yan , Chen Zhang , Lijun Sun , Wolfgang Ketter , Fugee Tsung

Column generation (CG) is a well-established method for solving large-scale linear programs. It involves iteratively optimizing a subproblem containing a subset of columns and using its dual solution to generate new columns with negative…

Optimization and Control · Mathematics 2024-05-21 Yunzhuang Shen , Yuan Sun , Xiaodong Li , Zhiguang Cao , Andrew Eberhard , Guangquan Zhang

Periodic messages transfer data from sensors to actuators in cars, planes, and complex production machines. When considering a given routing, the unicast message starts at its source and goes over several dedicated resources to reach its…

Networking and Internet Architecture · Computer Science 2025-06-18 Josef Grus , Claire Hanen , Zdeněk Hanzálek

This paper considers real-time dispatching for large-scale ride-sharing services over a rolling horizon. It presents RTDARS which relies on a column-generation algorithm to minimize wait times while guaranteeing short travel times and…

Optimization and Control · Mathematics 2023-03-07 Connor Riley , Antoine Legrain , Pascal Van Hentenryck

Hoist scheduling has become a bottleneck in electroplating industry applications with the development of autonomous devices. Although there are a few approaches proposed to target at the challenging problem, they generally cannot scale to…

Artificial Intelligence · Computer Science 2022-12-13 Kebing Jin , Yingkai Xiao , Hankz Hankui Zhuo , Renyong Ma
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