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In this study, the periodic train timetabling problem is formulated using a time-space graph formulation. Three solution methods are proposed and compared where solutions are built by what we define as a dive-and-cut-and-price procedure. An…

Data Structures and Algorithms · Computer Science 2021-03-02 Bernardo Martin-Iradi , Stefan Ropke

Periodic timetabling for public transportation networks is typically modelled as a Periodic Event Scheduling Problem (PESP). Solving instances of the benchmark library PESPlib to optimality continues to pose a challenge. As a further…

Optimization and Control · Mathematics 2025-10-15 Stephanie Riedmüller , Niels Lindner

This paper introduces the Trailer Path Optimization with Schedule Services Problem (TPOSSP) and proposes a column-generation heuristic (CG-heuristic) to find high-quality solutions to large-scale instances. The TPOSSP aims at determining…

Optimization and Control · Mathematics 2025-07-29 Mohammed Faisal Ahmed , Pascal Van Hentenryck , Ahmed El Nashar

Column generation is an iterative method used to solve a variety of optimization problems. It decomposes the problem into two parts: a master problem, and one or more pricing problems (PP). The total computing time taken by the method is…

Optimization and Control · Mathematics 2022-01-10 Mouad Morabit , Guy Desaulniers , Andrea Lodi

Problem definition: To mitigate excessive crowding in public transit networks, network expansion is often not feasible due to financial and time constraints. Instead, operators are required to make use of existing infrastructure more…

Optimization and Control · Mathematics 2025-01-24 Yahan Lu , Rolf N. van Lieshout , Layla Martin , Lixing Yang

The team formation and routing problem is a challenging optimization problem with several real-world applications in fields such as airport, healthcare, and maintenance operations. To solve this problem, exact solution methods based on…

Machine Learning · Computer Science 2025-09-22 Giacomo Dall'Olio , Rainer Kolisch , Yaoxin Wu

In unsplittable network flow problems, certain nodes must satisfy a combinatorial requirement that the incoming arc flows cannot be split or merged when routed through outgoing arcs. This so-called "no-split no-merge" requirement arises in…

Optimization and Control · Mathematics 2024-03-27 Hosseinali Salemi , Danial Davarnia

In light of the need for design and analysis of intermodal transportation systems, we propose an algorithmic framework to determine the system optimum of an intermodal transportation system. To this end, we model an intermodal…

Optimization and Control · Mathematics 2022-10-18 Benedikt Lienkamp , Maximilian Schiffer

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 railway operations, a timetable is established to determine the departure and arrival times for the trains or other rolling stock at the different stations or relevant points inside the rail network or a subset of this network. The…

Artificial Intelligence · Computer Science 2014-11-26 Diego Arenas , Remy Chevirer , Said Hanafi , Joaquin Rodriguez

This paper investigates the column generation (CG) for solving cutting stock problems (CSP). Traditional CG method, which repeatedly solves a restricted master problem (RMP), often suffers from two critical issues in practice -- the loss of…

Optimization and Control · Mathematics 2023-05-24 Mingjie Hu , Jie Yan , Liting Chen , Qingwei Lin

The package shipment problem requires to optimally co-design paths for both packages and a heterogeneous fleet in a transit center network (TCN). Instances arising from the package delivery industry in China usually involve more than ten…

Systems and Control · Electrical Eng. & Systems 2022-02-09 Zhuolin Wang , Rongping Zhu , Jian-Ya Ding , Yu Yang , Keyou You

We introduce the multimodal car- and ride-sharing problem (MMCRP), in which a pool of cars is used to cover a set of ride requests while uncovered requests are assigned to other modes of transport (MOT). A car's route consists of one or…

Artificial Intelligence · Computer Science 2022-09-29 Miriam Enzi , Sophie N. Parragh , David Pisinger , Matthias Prandtstetter

This paper introduces a differential dynamic programming (DDP) based framework for polynomial trajectory generation for differentially flat systems. In particular, instead of using a linear equation with increasing size to represent…

Optimization and Control · Mathematics 2021-09-13 Kun Cao , Muqing Cao , Shenghai Yuan , Lihua Xie

We study a class of nested path problems, in which every path-based variable can be decomposed into a sequence of subpaths. Subpaths must satisfy local resources, while paths must satisfy additional global resources. This paper develops a…

Optimization and Control · Mathematics 2026-05-28 Bart van Rossum , Rolf van Lieshout , Alexandre Jacquillat

During natural or anthropogenic disasters, humanitarian organizations face a series of time-sensitive tasks. One of the tasks involves picking up critical resources (e.g., first aid kits, blankets, water) from warehouses and delivering them…

Optimization and Control · Mathematics 2019-04-08 Tasnim Ibn Faiz , Chrysafis Vogiatzis , Md. Noor-E-Alam

Every day, railways experience disturbances and disruptions, both on the network and the fleet side, that affect the stability of rail traffic. Induced delays propagate through the network, which leads to a mismatch in demand and offer for…

Artificial Intelligence · Computer Science 2023-06-14 Valerio Agasucci , Giorgio Grani , Leonardo Lamorgese

Train marshalling is the process of reordering the railcars of a train in such a way that the railcars with the same destination appear consecutively in the final, reassembled train. The process takes place in the shunting yard by means of…

Data Structures and Algorithms · Computer Science 2020-08-10 Hossein Falsafain , Mohammad Tamannaei

The Set Partitioning Problem is a combinatorial optimization problem with wide-ranging applicability, used to model various real-world tasks such as facility location and crew scheduling. However, real-world applications often require…

Optimization and Control · Mathematics 2025-03-24 Yasuyuki Ihara

With the abundance of available data, many enterprises seek to implement data-driven prescriptive analytics to help them make informed decisions. These prescriptive policies need to satisfy operational constraints, and proactively eliminate…

Optimization and Control · Mathematics 2022-07-22 Shivaram Subramanian , Wei Sun , Youssef Drissi , Markus Ettl
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