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We give a column generation based branch and bound algorithm for coalition structure generation over graphs problem using valuation functions for which this problem is proven to be NP-complete. For a given graph G = (V;E) and a valuation…

Computer Science and Game Theory · Computer Science 2020-04-29 Emanuel Florentin Olariu , Cristian Frasinaru , Albert Abel Policiuc

Background: The kidney exchange problem (KEP) addresses the matching of patients in need for a replacement organ with compatible living donors. Ideally many medical institutions should participate in a matching program to increase the…

Cryptography and Security · Computer Science 2022-04-22 Timm Birka , Kay Hamacher , Tobias Kussel , Helen Möllering , Thomas Schneider

In the Minimum Clique Routing Problem on Cycles \textsc{MCRPC} we are given a cycle together with a set of demands (weighted origin-destination pairs) and the goal is to route all the pairs minimizing the maximum weighted clique of the…

Data Structures and Algorithms · Computer Science 2023-11-17 Mariana Escalante , Martín Matamala , Iván Rapaport , Paola Tolomei , Luis Miguel Torres

The feeder reconfiguration problem chooses the on/off status of the switches in a distribution network in order to minimize a certain cost such as power loss. It is a mixed integer nonlinear program and hence hard to solve. A popular…

Optimization and Control · Mathematics 2015-12-22 Qiuyu Peng , Steven H. Low

Cycles in graphs often signify interesting processes. For example, cyclic trading patterns can indicate inefficiencies or economic dependencies in trade networks, cycles in food webs can identify fragile dependencies in ecosystems, and…

Data Structures and Algorithms · Computer Science 2019-09-04 Florian Adriaens , Cigdem Aslay , Tijl De Bie , Aristides Gionis , Jefrey Lijffijt

The replica exchange method is a powerful tool for overcoming slow relaxation in molecular simulations, but its efficiency depends strongly on the choice of the number and interval of replicas and their exchange probabilities. Here, we…

Statistical Mechanics · Physics 2025-06-04 Akie Kowaguchi , Katsuhiro Endo , Kentaro Nomura , Shuichi Kurabayashi , Paul E. Brumby , Kenji Yasuoka

Motivated by the real-world problem of international kidney exchange (IKEP), recent literature introduced a generalized transferable utility matching game featuring a partition of the vertex set of a graph into players, and analyzed its…

Computer Science and Game Theory · Computer Science 2026-02-24 Gergely Csáji , Tamás Király , Zsuzsa Mészáros-Karkus

Training deep neural networks (DNNs) is computationally expensive, which is problematic especially when performing duplicated or similar training runs in model ensemble or fine-tuning pre-trained models, for example. Once we have trained…

Machine Learning · Computer Science 2023-10-04 Daiki Chijiwa

When a store sells items to customers, the store wishes to determine the prices of the items to maximize its profit. Intuitively, if the store sells the items with low (resp. high) prices, the customers buy more (resp. less) items, which…

Data Structures and Algorithms · Computer Science 2011-09-29 Ryoso Hamane , Toshiya Itoh , Kouhei Tomita

In many manufacturing processes, batch processing is frequently needed for capacity reasons. This applies both to parallel and serial batching. However, while the serial batch processing is largely studied in the literature, as it is…

Optimization and Control · Mathematics 2024-02-14 Arianna Alfieri , Alessandro Druetto , Andrea Grosso , Fabio Salassa

We consider joint caching, routing, and channel assignment for video delivery over coordinated small-cell cellular systems of the future Internet. We formulate the problem of maximizing the throughput of the system as a linear program in…

Networking and Internet Architecture · Computer Science 2016-05-31 Abdallah Khreishah , Jacob Chakareski , Ammar Gharaibeh

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

To evaluate the translational capabilities of foundation models, we develop a pathological concept learning approach focused on kidney cancer. By leveraging TNM staging guidelines and pathology reports, we build comprehensive pathological…

Artificial Intelligence · Computer Science 2025-10-01 Shangqi Gao , Sihan Wang , Yibo Gao , Boming Wang , Xiahai Zhuang , Anne Warren , Grant Stewart , James Jones , Mireia Crispin-Ortuzar

The purpose of this work is to develop an algorithmic optimization approach for a capacitated Multi-Commodity flow problem, where the objective is to minimize the total link costs, where the cost of each arc increases convexly with its…

Networking and Internet Architecture · Computer Science 2026-03-11 Guillaume Beraud-Sudreau , Lucas Létocart , Youcef Magnouche , Sébastien Martin

Identifying discrete patterns in binary data is an important dimensionality reduction tool in machine learning and data mining. In this paper, we consider the problem of low-rank binary matrix factorisation (BMF) under Boolean arithmetic.…

Optimization and Control · Mathematics 2021-08-05 Reka A. Kovacs , Oktay Gunluk , Raphael A. Hauser

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

We consider a fashion discounter that supplies any of its many branches with an integral multiple of lots whose size assortment structure stems from a set of many applicable lot-types. We design a column generation algorithm for the optimal…

Optimization and Control · Mathematics 2016-03-26 Miriam Kießling , Sascha Kurz , Jörg Rambau

In this paper, we generalize the recently studied Stochastic Matching problem to more accurately model a significant medical process, kidney exchange, and several other applications. Up until now the Stochastic Matching problem that has…

Data Structures and Algorithms · Computer Science 2022-05-31 Alireza Farhadi , Jacob Gilbert , MohammadTaghi Hajiaghayi

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

The key issue in importance sampling is the choice of the alternative sampling distribution, which is often chosen from the exponential tilt family of the underlying distribution. However, when the problem exhibits certain kind of…

Probability · Mathematics 2013-05-15 Hui Wang , Xiang Zhou