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The rise of battery-powered vehicles has led to many new technical and methodological hurdles. Among these, the efficient planning of an electric fleet to fulfill passenger transportation requests still represents a major challenge. This is…

最优化与控制 · 数学 2023-02-07 Axel Parmentier , Rafael Martinelli , Thibaut Vidal

Kidney exchange programs among hospitals in the United States and across European countries improve efficiency by pooling donors and patients on a centralized platform. Sustaining such cooperation requires stability. When the core is empty,…

计算机科学与博弈论 · 计算机科学 2026-02-12 Gergely Csáji , Thánh Nguyen

Column generation is used alongside Dantzig-Wolfe Decomposition, especially for linear programs having a decomposable pricing step requiring to solve numerous independent pricing subproblems. We propose a filtering method to detect which…

离散数学 · 计算机科学 2025-09-05 Abdellah Bulaich Mehamdi , Mathieu Lacroix , Sébastien Martin

The kidney paired donation (KPD) program provides an innovative solution to overcome incompatibility challenges in kidney transplants by matching incompatible donor-patient pairs and facilitating kidney exchanges. To address unequal access…

统计方法学 · 统计学 2026-01-21 Mingrui Zhang , Xiaowu Dai , Lexin Li

Motivated by kidney exchange, we study a stochastic cycle and chain packing problem, where we aim to identify structures in a directed graph to maximize the expectation of matched edge weights. All edges are subject to failure, and the…

人工智能 · 计算机科学 2020-07-08 Hoda Bidkhori , John P Dickerson , Duncan C McElfresh , Ke Ren

In this work, we consider the dynamic unsplittable flow problem. This variation of the unsplittable flow problem has received little attention so far. The unsplittable flow problem is an NP-hard extension of the multi-commodity flow problem…

最优化与控制 · 数学 2023-03-29 François Lamothe , Emmanuel Rachelson , Alain Haït , Cédric Baudoin , Jean-Baptiste Dupé

Integer programs for resource-constrained project scheduling problems are notoriously hard to solve due to their weak linear relaxations. Several papers have proposed reformulating project scheduling problems via Dantzig-Wolfe decomposition…

最优化与控制 · 数学 2025-01-09 Maximilian Kolter , Martin Grunow , Rainer Kolisch

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…

最优化与控制 · 数学 2019-04-08 Tasnim Ibn Faiz , Chrysafis Vogiatzis , Md. Noor-E-Alam

This paper presents a comprehensive review of the last two decades of research on Kidney Exchange Programs (KEPs), systematically categorizing and classifying key contributions to provide readers with a structured understanding of…

人工智能 · 计算机科学 2025-02-13 Shayan Sharifi

Column Generation (CG) is a popular method dedicated to enhancing computational efficiency in large scale Combinatorial Optimization (CO) problems. It reduces the number of decision variables in a problem by solving a pricing problem. For…

机器学习 · 计算机科学 2025-04-18 Abdo Abouelrous , Laurens Bliek , Adriana F. Gabor , Yaoxin Wu , Yingqian Zhang

In this article we introduce Graph Generation, an enhanced Column Generation (CG) algorithm for solving expanded linear programming relaxations of mixed integer linear programs. To apply Graph Generation, we must be able to map any given…

最优化与控制 · 数学 2021-10-05 Julian Yarkony , Naveed Haghani , Amelia Regan

In kidney exchange programmes patients with end-stage renal failure may exchange their willing, but incompatible living donors among each other. National kidney exchange programmes are in operation in ten European countries, and some of…

最优化与控制 · 数学 2019-04-22 Péter Biró , Márton Gyetvai , Radu Stefan Mincu , Alexandru Popa , Utkarsh Verma

This article provides an overview of the performance and the theoretical complexity of approximate and exact methods for various versions of the shortest path problem. The proposed study aims to improve the resolution of a more general…

数据结构与算法 · 计算机科学 2008-12-18 Olivier Laval , Sophie Toulouse , Anass Nagih

We study the parameterized complexity of a recently introduced multi-agent variant of the Kidney Exchange problem. Given a directed graph $G$ and integers $d$ and $k$, the standard problem asks whether $G$ contains a packing of…

数据结构与算法 · 计算机科学 2025-10-13 Bart M. P. Jansen , Jeroen S. K. Lamme , Ruben F. A. Verhaegh

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…

最优化与控制 · 数学 2021-05-07 Yijiang Li , John-Paul Clarke , Santanu Dey

Kidney exchange programs have been developed to overcome the compatibility challenges for patients with incompatible donors in kidney transplantation. A registry of such incompatible donor-recipient pairs is created, and compatibility is…

最优化与控制 · 数学 2025-08-07 Utkarsh Verma , Narayan Rangaraj

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…

Graph Generation is a recently introduced enhanced Column Generation algorithm for solving expanded Linear Programming relaxations of mixed integer linear programs without weakening the expanded relaxations which characterize these methods.…

最优化与控制 · 数学 2022-02-04 Julian Yarkony , Amelia Regan

Kidney exchange programs (KEPs) form an innovative approach to increasing the donor pool through allowing the participation of renal patients together with a willing but incompatible donor. The aim of a KEP is to identify groups of…

计算机科学与博弈论 · 计算机科学 2022-06-24 Danny Blom , Bart Smeulders , Frits C. R. Spieksma

Disruptions in the operational flow of rail traffic can lead to conflicts between train movements, such that a scheduled timetable can no longer be realised. This is where dispatching is applied, existing conflicts are resolved and a…

最优化与控制 · 数学 2025-02-26 Maik Schälicke , Karl Nachtigall