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Related papers: On Branch-and-Price for Project Scheduling

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In this study, we examine a two-dimensional bin-packing problem in printed circuit board manufacturing. Among other objectives, the number of bins, but also the number of different bin layouts, is to be minimized. As the running times of an…

Data Structures and Algorithms · Computer Science 2025-09-03 Christof Groschke , Steffen Goebbels , Jochen Rethmann

The talent scheduling problem is a simplified version of the real-world film shooting problem, which aims to determine a shooting sequence so as to minimize the total cost of the actors involved. In this article, we first formulate the…

Artificial Intelligence · Computer Science 2014-01-24 Zizhen Zhang , Hu Qin , Xiaocong Liang , Andrew Lim

We present a branch-cut-and-price framework to solve Cutting Stock Problems with strong relaxations using Set Covering (Packing) Formulations, which are solved by column generation. The main contributions of this paper include an extended…

Optimization and Control · Mathematics 2025-05-15 Renan F. F. da Silva , Rafael C. S. Schouery

In this work, a graph partitioning problem in a fixed number of connected components is considered. Given an undirected graph with costs on the edges, the problem consists of partitioning the set of nodes into a fixed number of subsets with…

Optimization and Control · Mathematics 2024-11-12 Mishelle Cordero , Andrés Miniguano-Trujillo , Diego Recalde , Ramiro Torres , Polo Vaca

In this paper, we study a multi-agent scheduling problem for organising the operations within the operating room department. The head of the surgeon group and individual surgeons are together responsible for the surgeon schedule and…

Computer Science and Game Theory · Computer Science 2025-09-30 Broos Maenhout , Přemysl Šůcha , Viktorie Valdmanová , Ondřej Tkadlec , Jana Thao Rozlivková

We propose a randomized method for solving linear programs with a large number of columns but a relatively small number of constraints. Since enumerating all the columns is usually unrealistic, such linear programs are commonly solved by…

Optimization and Control · Mathematics 2023-11-29 Yi-Chun Akchen , Velibor V. Mišić

This paper presents a new column-and-constraint generation method for two-stage robust mixed-integer programs with finite uncertainty sets. Our method combines and extends speed-up techniques used in previous column-and-constraint…

Optimization and Control · Mathematics 2025-11-04 Marc Goerigk , Dorothee Henke , Johannes Kager , Fabian Schäfer , Clemens Thielen

This paper studies the Graph-Connected Clique-Partitioning Problem (GCCP), a clustering optimization model in which units are characterized by both individual and relational data. This problem, introduced by Benati et al. (2017) under the…

Optimization and Control · Mathematics 2021-04-13 Stefano Benati , Diego Ponce , Justo Puerto , Antonio M. Rodríguez-Chía

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

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

The energy efficiency of future networks is becoming a significant and urgent issue, calling for greener network designs. At the same time, rapid development of wireless networks shows a trend of increasing complexity in network structure…

Networking and Internet Architecture · Computer Science 2017-06-08 Lu Liu , Yu Cheng , Xianghui Cao , Sheng Zhou , Zhisheng Niu , Ping Wang

Submodular optimization is a special class of combinatorial optimization arising in several machine learning problems, but also in cooperative control of complex systems. In this paper, we consider agents in an asynchronous, unreliable and…

Systems and Control · Computer Science 2018-12-17 Andrea Testa , Ivano Notarnicola , Giuseppe Notarstefano

Given an undirected graph, the k-vertex cut problem (k-VCP) asks for a minimum-cost set of vertices whose removal yields at least k connected components in the resulting graph. The k-VCP is an important problem in network optimization, with…

Optimization and Control · Mathematics 2026-02-06 Fabio Ciccarelli , Fabio Furini , Christopher Hojny , Marco Lübbecke

We propose an extended variant of the reformulation and decomposition algorithm for solving a special class of mixed-integer bilevel linear programs (MIBLPs) where continuous and integer variables are involved in both upper- and lower-level…

Optimization and Control · Mathematics 2018-07-03 Dajun Yue , Jiyao Gao , Bo Zeng , Fengqi You

We consider range minimization problems featuring exponentially many variables, as frequently arising in fairness-oriented or bi-objective optimization. While branch and price is successful at solving cost-oriented problems with many…

Optimization and Control · Mathematics 2025-05-08 Bart van Rossum , Rui Chen , Andrea Lodi

Generalized Disjunctive Programming (GDP) provides a powerful framework for combining algebraic constraints with logical disjunctions. To solve these problems, mixed-integer reformulations are required, but traditional reformulation…

Optimization and Control · Mathematics 2026-01-21 Albert Joon Lee , David E. Bernal Neira

Classical list scheduling is a very popular and efficient technique for scheduling jobs in parallel and distributed platforms. It is inherently centralized. However, with the increasing number of processors, the cost for managing a single…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-07-20 Marc Tchiboukdjian , Nicolas Gast , Denis Trystram

This paper addresses the problem of scheduling a set of jobs that are released over the time on a set of identical parallel machines, aiming at the minimization of the total weighted completion time. This problem, referred to as $P|r_j|\sum…

Optimization and Control · Mathematics 2020-06-30 Arthur Kramer , Mauro Dell'Amico , Dominique Feillet , Manuel Iori

This paper addresses a new vehicle routing problem that simultaneously involves time windows, split collection and linear weight-related cost, which is a generalization of the split delivery vehicle routing problem with time windows…

Data Structures and Algorithms · Computer Science 2014-01-28 Zhixin Luo , Hu Qin , Wenbin Zhu , Andrew Lim

In this paper, we provide a column generation-based approach for solving the airport flight-to-gate assignment problem, where the goal is to minimize the on-ground portion of arrival delays by optimally assigning each scheduled flight to a…

Optimization and Control · Mathematics 2021-05-07 Yijiang Li , John-Paul Clarke , Santanu Dey