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We consider the problem of learning optimal binary classification trees. Literature on the topic has burgeoned in recent years, motivated both by the empirical suboptimality of heuristic approaches and the tremendous improvements in…

机器学习 · 统计学 2020-05-14 Sina Aghaei , Andres Gomez , Phebe Vayanos

Efficient methods for large-scale security constrained unit commitment (SCUC) problems have long been an important research topic and a challenge especially in market clearing computation. For large-scale SCUC, the Lagrangian relaxation…

最优化与控制 · 数学 2018-10-23 Xuan Li , Qiaozhu Zhai , Jingxuan Zhou , Xiaohong Guan

Hub location problems are central to optimizing logistics, telecommunications, and transportation networks by consolidating flows through strategically placed hubs. While existing models assume symmetric allocation, where hubs handle…

最优化与控制 · 数学 2026-04-14 I. Espejo , M. Landete , M. Leal , A. Marín

In this paper, we develop a new formulation of changeover constraints for mixed integer programming problem (MIP) that emerges in solving a short-term production scheduling problem. The new model requires fewer constraints than the original…

最优化与控制 · 数学 2014-08-28 Pavel A. Borisovsky , Anton V. Eremeev , Josef Kallrath

The problem of multilevel diversity coding with regeneration is considered in this work. Two new outer bounds on the optimal tradeoffs between the normalized storage capacity and repair bandwidth are established, by which the optimality of…

信息论 · 计算机科学 2015-12-16 Shuo Shao , Tie Liu , Chao Tian

Mixed-Integer Linear Programming (MILP) is a powerful framework used to address a wide range of NP-hard combinatorial optimization problems, often solved by Branch and Bound (B&B). A key factor influencing the performance of B&B solvers is…

机器学习 · 计算机科学 2025-10-23 Paul Strang , Zacharie Alès , Côme Bissuel , Olivier Juan , Safia Kedad-Sidhoum , Emmanuel Rachelson

The standard single picker routing problem (SPRP) seeks the cost-minimal tour to collect a set of given articles in a rectangular single-block warehouse with parallel picking aisles and a dedicated storage policy, i.e, each SKU is only…

数据结构与算法 · 计算机科学 2019-10-01 Dominik Goeke , Michael Schneider

Transportation occupies one-third of the amount in the logistics costs, and accordingly transportation systems largely influence the performance of the logistics system. This work presents an adaptive data-driven innovative modular approach…

人工智能 · 计算机科学 2020-01-08 Emir Zunic , Dzenana Donko , Emir Buza

Maritime Inventory Routing Problem (MIRP) plays a crucial role in the integration of global maritime commerce levels. However, there are still no well-established methodologies capable of efficiently solving large MIRP instances or their…

人工智能 · 计算机科学 2025-06-13 Nathalie Sanghikian , Rafael Meirelles , Rafael Martinelli , Anand Subramanian

In this article, we introduce and study the Quadratic Bin Packing Problem (QBPP), which generalizes the classical bin packing problem by introducing a fixed cost for each used bin and a pairwise cost (or profit) incurred whenever two items…

最优化与控制 · 数学 2026-04-06 Vítor Gomes Chagas , Alberto Locatelli , Flávio Keidi Miyazawa , Manuel Iori

Most state-of-the-art branch-and-bound solvers for mixed-integer linear programming rely on limited-precision floating-point arithmetic and use numerical tolerances when reasoning about feasibility and optimality during their search. While…

最优化与控制 · 数学 2025-04-04 Alexander Hoen , Ambros Gleixner

Random backpropagation (RBP) is a variant of the backpropagation algorithm for training neural networks, where the transpose of the forward matrices are replaced by fixed random matrices in the calculation of the weight updates. It is…

机器学习 · 计算机科学 2017-12-25 Pierre Baldi , Peter Sadowski , Zhiqin Lu

The labeled MRPP (Multi-Robot Path Planning) problem involves routing robots from start to goal configurations efficiently while avoiding collisions. Despite progress in solution quality and runtime, its complexity and industrial relevance…

机器人学 · 计算机科学 2025-06-12 Teng Guo

The maximum covering location problem (MCLP) is a key problem in facility location, with many applications and variants. One such variant is the dynamic (or multi-period) MCLP, which considers the installation of facilities across multiple…

最优化与控制 · 数学 2023-10-27 Steven Lamontagne , Margarida Carvalho , Ribal Atallah

The Online Bin Packing Problem (OBPP) is a sequential decision-making task in which each item must be placed immediately upon arrival, with no knowledge of future arrivals. Although recent deep-reinforcement-learning methods achieve…

机器人学 · 计算机科学 2025-07-15 Ziyan Gao , Lijun Wang , Yuntao Kong , Nak Young Chong

This paper considers the problems of unconstrained minimization of large scale smooth convex functions having block-coordinate-wise Lipschitz continuous gradients. The block coordinate descent (BCD) method are among the first optimization…

最优化与控制 · 数学 2016-08-18 Ziqiang Shi , Rujie Liu

We study the two-dimensional hierarchical rectangle packing problem, motivated by applications in analog integrated circuit layout, facility layout, and logistics. Unlike classical strip or bin packing, the dimensions of the container are…

计算几何 · 计算机科学 2025-12-24 Josef Grus , Zdeněk Hanzálek , Christian Artigues , Cyrille Briand , Emmanuel Hebrard

This paper studies an extension of the rural postman problem with multiple depots and rechargeable and reusable vehicles capable of multiple trips with capacity constraints. This paper presents a new Mixed Integer Linear Programming (MILP)…

多智能体系统 · 计算机科学 2024-11-20 Eashwar Sathyamurthy , Jeffrey W. Herrmann , Shapour Azarm

A key ingredient in branch and bound (B&B) solvers for mixed-integer programming (MIP) is the selection of branching variables since poor or arbitrary selection can affect the size of the resulting search trees by orders of magnitude. A…

最优化与控制 · 数学 2020-08-31 Daniel Anderson , Pierre Le Bodic , Kerri Morgan

We study the Joint Routing-Assignment (JRA) problem in which items must be assigned one-to-one to placeholders while simultaneously determining a Hamiltonian cycle visiting all nodes exactly once. Extending previous exact MIP solvers with…

人工智能 · 计算机科学 2025-12-23 Yuan Qilong , Michal Pavelka