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Column generation (CG) is a powerful technique for solving optimization problems that involve a large number of variables or columns. This technique begins by solving a smaller problem with a subset of columns and gradually generates…

Neural and Evolutionary Computing · Computer Science 2024-07-03 Hongjie Xu , Yunzhuang Shen , Yuan Sun , Xiaodong Li

Travel time in urban centers is a significant contributor to the quality of living of its citizens. Mobility on Demand (MoD) services such as Uber and Lyft have revolutionized the transportation infrastructure, enabling new solutions for…

Optimization and Control · Mathematics 2019-03-27 Yue Guan , Anuradha M. Annaswamy , H. Eric Tseng

This study addresses the urban transit pattern design problem, optimizing stop sequences, headways, and fleet sizes across multiple routes and periods simultaneously to minimize user costs (composed of riding, waiting, and transfer times)…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Max T. M. Ng , Draco Tong , Hani S. Mahmassani , Omer Verbas , Taner Cokyasar

Space missions, particularly complex, large-scale exploration campaigns, can often involve many discrete decisions or events in their concepts of operations. Whilst a variety of methods exist for the optimisation of continuous variables in…

Optimization and Control · Mathematics 2024-12-04 Nicholas Gollins , Masafumi Isaji , Koki Ho

Telecommunication networks frequently face technological advancements and need to upgrade their infrastructure. Adapting legacy networks to the latest technology requires synchronized technicians responsible for migrating the equipment. The…

Optimization and Control · Mathematics 2023-05-11 Maryam Daryalal , Hamed Pouya

In the governance of the shared mobility market of a city or of a metropolitan area, there are two conflicting principles: 1) the healthy competition between multiple platforms, such as between Uber and Lyft in the United States, and 2)…

Optimization and Control · Mathematics 2024-10-29 Xiaotong Guo , Ao Qu , Hongmou Zhang , Peyman Noursalehi , Jinhua Zhao

Motivated by widespread electrification targets, this paper studies an Electric Vehicle Routing Problem with Time Windows and Nonlinear Charging (EVRPTWNL) that jointly optimizes routing-scheduling decisions and charging decisions given…

Optimization and Control · Mathematics 2026-03-18 Alexandre Jacquillat , Sean Lo

In this paper, we address the problem of Column Generation (CG) using Reinforcement Learning (RL). Specifically, we use a RL model based on the attention-mechanism architecture to find the columns with most negative reduced cost in the…

Machine Learning · Computer Science 2025-08-20 Abdo Abouelrous , Laurens Bliek , Adriana F. Gabor , Yaoxin Wu , Yingqian Zhang

Stochastic programming provides a natural framework for modeling sequential optimization problems under uncertainty; however, the efficient solution of large-scale multistage stochastic programs remains a challenge, especially in the…

Optimization and Control · Mathematics 2025-03-11 Tushar Rathi , Benjamin P. Riley , Angela Flores-Quiroz , Qi Zhang

Microtransit offers a promising blend of rideshare flexibility and public transit efficiency. In practice, it faces unanticipated but spatially aligned requests, passengers seeking to join ongoing schedules, leading to underutilized…

Optimization and Control · Mathematics 2025-06-27 Hongli Li , Zengxiang Lei , Xinwu Qian , Satish V. Ukkusuri

Electric utility companies perform numerous technical interventions every day. Since it is generally not possible to complete all planned interventions within a single day, companies face two objectives: maximizing the total duration of…

Optimization and Control · Mathematics 2026-04-08 Elise Bangerter , David Schindl , Meritxell Pacheco Paneque , Nour Elhouda Tellache , Rodolphe Griset

In this research we consider the problem of accelerating the convergence of column generation (CG) for the weighted set cover formulation of the capacitated vehicle routing problem with time windows (CVRPTW). We adapt two new techniques,…

Optimization and Control · Mathematics 2023-04-25 Udayan Mandal , Amelia Regan , Louis Martin Rousseau , Julian Yarkony

Nowadays, autonomous taxis become a highly promising transportation mode, which helps relieve traffic congestion and avoid road accidents. However, it hinders the wide implementation of this service that traditional models fail to…

Machine Learning · Computer Science 2020-10-21 Yue Yang , Wencang Bao , Mohsen Ramezani , Zhe Xu

We look at the problem of choosing a fleet of vehicles to carry out delivery tasks across a very long time horizon -- up to one year. The delivery quantities may vary markedly day to day and season to season, and the the underlying routing…

Optimization and Control · Mathematics 2017-11-27 Francesco Bertoli , Philip Kilby , Tommaso Urli

This paper presents a scheduling algorithm that divides a manufacturing/warehouse floor into zones that an Autonomous Mobile Robot (AMR) will occupy and complete part pick-up and drop-off tasks. Each zone is balanced so that each AMR will…

Robotics · Computer Science 2024-11-13 Russell Keith , Hung La

Column generation (CG) is one of the most successful approaches for solving large-scale linear programming (LP) problems. Given an LP with a prohibitively large number of variables (i.e., columns), the idea of CG is to explicitly consider…

Optimization and Control · Mathematics 2024-04-09 Haofeng Yuan , Lichang Fang , Shiji Song

The unit commitment problem is an important optimization problem in the energy industry used to compute the most economical operating schedules of power plants. Typically, this problem has to be solved repeatedly with different data but…

Optimization and Control · Mathematics 2023-12-18 Nagisa Sugishita , Andreas Grothey , Ken McKinnon

In this paper, we propose a novel, computational efficient, dynamic ridesharing algorithm. The beneficial computational properties of the algorithm arise from casting the ridesharing problem as a linear assignment problem between fleet…

Optimization and Control · Mathematics 2021-01-05 Andrea Simonetto , Julien Monteil , Claudio Gambella

Optimizing car sharing systems under demand uncertainty is an emerging problem for ensuring profitable and sustainable operations of these services while taking into account quality of service concerns. With the increasing adoption of…

Optimization and Control · Mathematics 2023-07-18 Sinan Emre Kosunda , Beste Basciftci , Esra Koca

Column Generation (CG) is an effective method for solving large-scale optimization problems. CG starts by solving a sub-problem with a subset of columns (i.e., variables) and gradually includes new columns that can improve the solution of…

Optimization and Control · Mathematics 2022-03-09 Yunzhuang Shen , Yuan Sun , Xiaodong Li , Andrew Eberhard , Andreas Ernst