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Symmetry in mathematical optimisation is of broad and current interest. In problem classes such as mixed-integer linear programming (MILP), equivalent solutions created by symmetric variables and constraints may combinatorially increase the…

最优化与控制 · 数学 2017-11-08 Georgia Kouyialis , Ruth Misener

Stock portfolio optimization is the process of constant re-distribution of money to a pool of various stocks. In this paper, we will formulate the problem such that we can apply Reinforcement Learning for the task properly. To maintain a…

机器学习 · 计算机科学 2020-12-14 Le Trung Hieu

We consider the problem of finding an n-agent joint-policy for the optimal finite-horizon control of a decentralized Pomdp (Dec-Pomdp). This is a problem of very high complexity (NEXP-hard in n >= 2). In this paper, we propose a new…

人工智能 · 计算机科学 2016-03-28 Raghav Aras , Alain Dutech , François Charpillet

In large-scale systems there are fundamental challenges when centralised techniques are used for task allocation. The number of interactions is limited by resource constraints such as on computation, storage, and network communication. We…

人工智能 · 计算机科学 2022-05-12 Niall Creech , Natalia Criado Pacheco , Simon Miles

This paper presents a mercantile framework for the decentralised sharing of navigation expertise amongst a fleet of robots which perform regular missions into a common but variable environment. We build on our earlier work and allow…

机器人学 · 计算机科学 2018-01-18 Matthew Gadd , Paul Newman

The increasing penetration of intermittent renewables, storage devices, and flexible loads is introducing operational challenges in distribution grids. The proper coordination and scheduling of these resources using a distributed approach…

Column-sparse packing problems arise in several contexts in both deterministic and stochastic discrete optimization. We present two unifying ideas, (non-uniform) attenuation and multiple-chance algorithms, to obtain improved approximation…

数据结构与算法 · 计算机科学 2019-08-07 Brian Brubach , Karthik Abinav Sankararaman , Aravind Srinivasan , Pan Xu

In the new wave of artificial intelligence, deep learning is impacting various industries. As a closely related area, optimization algorithms greatly contribute to the development of deep learning. But the reverse applications are still…

机器学习 · 计算机科学 2019-11-06 Zhengxuan Ling , Xinyu Tao , Yu Zhang , Xi Chen

In this paper, a novel distributed optimization framework has been proposed. The key idea is to convert optimization problems into optimal control problems where the objective of each agent is to design the current control input minimizing…

最优化与控制 · 数学 2025-04-01 Ziyuan Guo , Yue Sun , Yeming Xu , Liping Zhang , Huanshui Zhang

A current trend in networking and cloud computing is to provide compute resources at widely dispersed places; this is exemplified by developments such as Network Function Virtualisation. This paves the way for wide-area service deployments…

网络与互联网体系结构 · 计算机科学 2016-08-31 Matthias Keller , Holger Karl

The Joint Replenishment Problem (JRP) is a fundamental optimization problem in supply-chain management, concerned with optimizing the flow of goods from a supplier to retailers. Over time, in response to demands at the retailers, the…

The real-time joint optimization of inventory replenishment and vehicle routing is essential for cost-efficiently operating one-warehouse, multiple-retailer systems. This is complex, as future demand predictions should capture correlation…

最优化与控制 · 数学 2024-10-30 Menglei Jia , Albert H. Schrotenboer , Feng Chen

Combinatorial sequential decision making problems are typically modeled as mixed integer linear programs (MILPs) and solved via branch and bound (B&B) algorithms. The inherent difficulty of modeling MILPs that accurately represent…

人工智能 · 计算机科学 2025-12-15 Akhil S Anand , Elias Aarekol , Martin Mziray Dalseg , Magnus Stalhane , Sebastien Gros

Fair re-ranking aims to redistribute ranking slots among items more equitably to ensure responsibility and ethics. The exploration of redistribution problems has a long history in economics, offering valuable insights for conceptualizing…

信息检索 · 计算机科学 2024-04-30 Chen Xu , Xiaopeng Ye , Wenjie Wang , Liang Pang , Jun Xu , Tat-Seng Chua

In recent years, data mining researchers have developed efficient association rule algorithms for retail market basket analysis. Still, retailers often complain about how to adopt association rules to optimize concrete retail marketing-mix…

数据库 · 计算机科学 2007-05-23 Tom Brijs , Bart Goethals , Gilbert Swinnen , Koen Vanhoof , Geert Wets

We consider the distributed version of the Multiple Knapsack Problem (MKP), where $m$ items are to be distributed amongst $n$ processors, each with a knapsack. We propose different distributed approximation algorithms with a tradeoff…

数据结构与算法 · 计算机科学 2017-02-06 Ananth Murthy , Chandan Yeshwanth , Shrisha Rao

We study the averaging-based distributed optimization solvers over random networks. We show a general result on the convergence of such schemes using weight-matrices that are row-stochastic almost surely and column-stochastic in expectation…

最优化与控制 · 数学 2020-10-06 Adel Aghajan , Behrouz Touri

In this era of large-scale data, distributed systems built on top of clusters of commodity hardware provide cheap and reliable storage and scalable processing of massive data. Here, we review recent work on developing and implementing…

分布式、并行与集群计算 · 计算机科学 2015-07-28 Jiyan Yang , Xiangrui Meng , Michael W. Mahoney

We study the problem of computing maximin share guarantees, a recently introduced fairness notion. Given a set of $n$ agents and a set of goods, the maximin share of a single agent is the best that she can guarantee to herself, if she would…

计算机科学与博弈论 · 计算机科学 2018-06-12 Georgios Amanatidis , Evangelos Markakis , Afshin Nikzad , Amin Saberi

Technology of formal quantitative estimation of the conformity of the mathematical models to the available dataset is presented. Main purpose of the technology is to make easier the model selection decision-making process for the…

最优化与控制 · 数学 2020-04-21 Alexander Sokolov , Vladimir Voloshinov