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We consider cooperative multi-agent consensus optimization problems over an undirected network of agents, where only those agents connected by an edge can directly communicate. The objective is to minimize the sum of agent-specific…

Optimization and Control · Mathematics 2016-07-12 Necdet Serhat Aybat , Erfan Yazdandoost Hamedani

Solving a collision-aware multi-agent mission planning (task allocation and path finding) problem is challenging due to the requirement of real-time computational performance, scalability, and capability of handling static/dynamic obstacles…

Robotics · Computer Science 2023-03-01 Zehui Lu , Tianyu Zhou , Shaoshuai Mou

In this work, we address a task allocation problem for human multi-robot settings. Given a set of tasks to perform, we formulate a general Mixed-Integer Linear Programming (MILP) problem aiming at minimizing the overall execution time while…

Robotics · Computer Science 2021-09-20 Martina Lippi , Alessandro Marino

Real-world problems of operations research are typically high-dimensional and combinatorial. Linear programs are generally used to formulate and efficiently solve these large decision problems. However, in multi-period decision problems, we…

Machine Learning · Computer Science 2019-02-27 Wouter van Heeswijk , Han La Poutré

Nonlinear programming targets nonlinear optimization with constraints, which is a generic yet complex methodology involving humans for problem modeling and algorithms for problem solving. We address the particularly hard challenge of…

Robotics · Computer Science 2021-01-29 David Hägele , Moataz Abdelaal , Ozgur S. Oguz , Marc Toussaint , Daniel Weiskopf

We consider the problem of determining the optimal composition of a heterogeneous multi-agent team for coverage problems by including costs associated with different agents and subject to an upper bound on the maximal allowable number of…

Systems and Control · Electrical Eng. & Systems 2020-06-30 Chuangchuang Sun , Shirantha Welikala , Christos G. Cassandras

An algorithm capable of finding a likely global optimum (minimum) and a set of sub-optimal points for arbitrary generic functions of several variables is presented. The algorithm is designed to deal even with functions of complex behavior,…

Optimization and Control · Mathematics 2017-08-23 Glauco Masotti

The paper studies a distributed constrained optimization problem, where multiple agents connected in a network collectively minimize the sum of individual objective functions subject to a global constraint being an intersection of the local…

Optimization and Control · Mathematics 2016-03-08 Jinlong Lei , Han-Fu Chen , Hai-Tao Fang

The main challenge of multiagent reinforcement learning is the difficulty of learning useful policies in the presence of other simultaneously learning agents whose changing behaviors jointly affect the environment's transition and reward…

Through the collaboration of multiple LLM-empowered agents possessing diverse expertise and tools, multi-agent systems achieve impressive progress in solving real-world problems. Given the user queries, the meta-agents, serving as the brain…

Artificial Intelligence · Computer Science 2025-03-12 Ao Li , Yuexiang Xie , Songze Li , Fugee Tsung , Bolin Ding , Yaliang Li

In multi-agent tasks, the central challenge lies in the dynamic adaptation of strategies. However, directly conditioning on opponents' strategies is intractable in the prevalent deep reinforcement learning paradigm due to a fundamental…

Computer Science and Game Theory · Computer Science 2025-12-25 Yue Lin , Shuhui Zhu , Wenhao Li , Ang Li , Dan Qiao , Pascal Poupart , Hongyuan Zha , Baoxiang Wang

Deep learning has enabled traditional reinforcement learning methods to deal with high-dimensional problems. However, one of the disadvantages of deep reinforcement learning methods is the limited exploration capacity of learning agents. In…

Machine Learning · Computer Science 2019-07-30 Thanh Nguyen , Ngoc Duy Nguyen , Saeid Nahavandi

We study a public event scheduling problem, where multiple public events are scheduled to coordinate the availability of multiple agents. The availability of each agent is determined by solving a separate flexible interval job scheduling…

Data Structures and Algorithms · Computer Science 2024-04-19 Bo Li , Lijun Li , Minming Li , Ruilong Zhang

In this paper, we present an exact algorithm for optimizing two linear fractional over the efficient set of a multi-objective integer quadratic problem. This type of problems arises when two decision-makers, such as firms, each have a…

Optimization and Control · Mathematics 2024-02-05 Ali Bencheikh , Mustapha Moulai , Ilies Badaoui

This paper considers the hidden-action model of the principal-agent problem, in which a principal incentivizes an agent to work on a project using a contract. We investigate whether contracts with bounded payments are learnable and…

Computer Science and Game Theory · Computer Science 2024-02-23 Yurong Chen , Zhaohua Chen , Xiaotie Deng , Zhiyi Huang

Multi-agent systems have extended the capability of agentic AI. Instead of single inference passes, multiple agents perform collective reasoning to derive high quality answers. However, existing multi-agent orchestration relies on static…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-24 Chaoyi Ruan , Yiliang Wang , Ziji Shi , Jialin Li

Consensus planning is a method for coordinating decision making across complex systems and organizations, including complex supply chain optimization pipelines. It arises when large interdependent distributed agents (systems) share common…

Optimization and Control · Mathematics 2025-11-25 Alvaro Maggiar , Lee Dicker , Michael Mahoney

It is always a challenging task to service sudden events in non-convex and uncertain environments, and multi-agent coverage control provides a powerful theoretical framework to investigate the deployment problem of mobile robotic networks…

Optimization and Control · Mathematics 2022-09-07 Chao Zhai , Pengyang Fan

We consider an extension of the rollout algorithm that applies to constrained deterministic dynamic programming, including challenging combinatorial optimization problems. The algorithm relies on a suboptimal policy, called base heuristic.…

Optimization and Control · Mathematics 2020-04-28 Dimitri Bertsekas

A new class of multi agent single machine scheduling problems is introduced, where each job is associated with a self interested agent with a utility function decreasing in completion time. We aim to achieve a fair solution by maximizing…

Computer Science and Game Theory · Computer Science 2026-04-01 Gaia Nicosia , Andrea Pacifici , Ulrich Pferschy