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Combinatorial games lead to several interesting, clean problems in algorithms and complexity theory, many of which remain open. The purpose of this paper is to provide an overview of the area to encourage further research. In particular, we…

Computational Complexity · Computer Science 2009-09-25 Erik D. Demaine , Robert A. Hearn

Higher-dimensional orthogonal packing problems have a wide range of practical applications, including packing, cutting, and scheduling. Previous efforts for exact algorithms have been unable to avoid structural problems that appear for…

Data Structures and Algorithms · Computer Science 2007-05-23 Sandor P. Fekete , Joerg Schepers

Distributed online optimization and game have been increasingly researched in the last decade, mostly motivated by its wide applications in sensor networks, robotics (e.g., distributed target tracking and formation control), smart grids,…

Machine Learning · Computer Science 2023-01-24 Xiuxian Li , Lihua Xie , Na Li

Existing approaches to solving combinatorial optimization problems on graphs suffer from the need to engineer each problem algorithmically, with practical problems recurring in many instances. The practical side of theoretical computer…

Machine Learning · Computer Science 2020-07-15 Natalia Vesselinova , Rebecca Steinert , Daniel F. Perez-Ramirez , Magnus Boman

The Bin Packing Problem involves efficiently packing items into a limited number of bins without exceeding their capacity. In this paper, we try to answer a specific question in this field. Mathematically the combinatorial optimization…

General Mathematics · Mathematics 2025-08-25 Angshuman Robin Goswami

Atomic congestion games are a classic topic in network design, routing, and algorithmic game theory, and are capable of modeling congestion and flow optimization tasks in various application areas. While both the price of anarchy for such…

Computer Science and Game Theory · Computer Science 2024-10-23 Cornelius Brand , Robert Ganian , Subrahmanyam Kalyanasundaram , Fionn Mc Inerney

Routing and scheduling problems are fundamental problems in combinatorial optimization, and also have many applications. Most variations of these problems are NP-Hard, so we need to use heuristics to solve these problems on large instances,…

Data Structures and Algorithms · Computer Science 2015-02-20 Arindam Pal

The paper described a generalized integrated glance to bin packing problems including a brief literature survey and some new problem formulations for the cases of multiset estimates of items. A new systemic viewpoint to bin packing problems…

Artificial Intelligence · Computer Science 2016-05-25 Mark Sh. Levin

Recent years have witnessed significant advances in technologies and services in modern network applications, including smart grid management, wireless communication, cybersecurity as well as multi-agent autonomous systems. Considering the…

Multiagent Systems · Computer Science 2023-08-29 Tao Li , Guanze Peng , Quanyan Zhu , Tamer Basar

Many combinatorial optimization problems such as the bin packing and multiple knapsack problems involve assigning a set of discrete objects to multiple containers. These problems can be used to model task and resource allocation problems in…

Artificial Intelligence · Computer Science 2011-10-12 A. S. Fukunaga , R. E. Korf

Task scheduling is an important and complex problem in computational grid. A computational grid often covers a range of different kinds of nodes, which offers a complex environment. There is a need to develop algorithms that can capture…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-17 Ziyan Gao , Yong Wang , Yifan Gao , Xingtian Ren

Neural Combinatorial Optimization attempts to learn good heuristics for solving a set of problems using Neural Network models and Reinforcement Learning. Recently, its good performance has encouraged many practitioners to develop neural…

Artificial Intelligence · Computer Science 2022-05-04 Andoni I. Garmendia , Josu Ceberio , Alexander Mendiburu

Bin packing is a classic optimization problem with a wide range of applications, from load balancing to supply chain management. In this work, we study the online variant of the problem, in which a sequence of items of various sizes must be…

Data Structures and Algorithms · Computer Science 2024-04-18 Spyros Angelopoulos , Shahin Kamali , Kimia Shadkami

The use of game theoretic models has been quite successful in describing various cooperative and non-cooperative optimization problems in networks and other domains of computer systems. In this paper, we study an application of game…

Networking and Internet Architecture · Computer Science 2013-05-16 Sandip Chakraborty , Soumyadip Majumder , Diganta Goswami

The vehicle routing and scheduling problem has been studied with much interest within the last four decades. In this paper, some of the existing literature dealing with routing and scheduling problems with environmental issues is reviewed,…

Combinatorics · Mathematics 2012-03-08 Nora Touati , Vincent Jost

The use of game theory in the design and control of large scale networked systems is becoming increasingly more important. In this paper, we follow this approach to efficiently solve a network allocation problem motivated by peer-to- peer…

Optimization and Control · Mathematics 2017-01-23 Fabio Fagnani , Barbara Franci

Typical-case computation complexity is a research topic at the boundary of computer science, applied mathematics, and statistical physics. In the last twenty years the replica-symmetry-breaking mean field theory of spin glasses and the…

Disordered Systems and Neural Networks · Physics 2014-06-17 Jin-Hua Zhao , Hai-Jun Zhou

We refine existing general network optimization techniques, give new characterizations for the class of problems to which they can be applied, and show that they can also be used to solve various two-player games in almost linear time.…

Computer Science and Game Theory · Computer Science 2008-01-29 Daniel Andersson

Securing dynamic networks against adversarial actions is challenging because of the need to anticipate and counter strategic disruptions by adversarial entities within complex network structures. Traditional game-theoretic models, while…

Computational Complexity · Computer Science 2023-12-21 Dhananjay Raju , Georgios Bakirtzis , Ufuk Topcu

This paper takes a game theoretical approach to open shop scheduling problems with unit execution times to minimize the sum of completion times. By supposing an initial schedule and associating each job (consisting in a number of…

Computer Science and Game Theory · Computer Science 2019-07-31 Ata Atay , Pedro Calleja , Sergio Soteras
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