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We consider the problem of assigning items to platforms in the presence of group fairness constraints. In the input, each item belongs to certain categories, called classes in this paper. Each platform specifies the group fairness…

Data Structures and Algorithms · Computer Science 2021-05-21 Govind S. Sankar , Anand Louis , Meghana Nasre , Prajakta Nimbhorkar

Managing radio spectrum resources is a crucial issue. The frequency assignment problem (FAP) basically aims to allocate, in an efficient manner, limited number of frequencies to communication links. Geographically close links, however,…

Networking and Internet Architecture · Computer Science 2016-05-17 H. Birkan Yilmaz , Bon-Hong Koo , Sung-Ho Park , Hwi-Sung Park , Jae-Hyun Ham , Chan-Byoung Chae

This paper presents two real-world scheduling problems and their algorithmic solutions through polynomial-time reductions. First, we address the Hospital Patient-to-Bed Assignment problem, demonstrating its reduction to Maximum Bipartite…

Data Structures and Algorithms · Computer Science 2026-01-13 Anay Sinhal , Arpana Sinhal , Amit Sinhal , Amit Hirawat

This work proposes a neural network architecture that learns policies for multiple agent classes in a heterogeneous multi-agent reinforcement setting. The proposed network uses directed labeled graph representations for states, encodes…

Artificial Intelligence · Computer Science 2020-10-22 Douglas De Rizzo Meneghetti , Reinaldo Augusto da Costa Bianchi

r-gathering problem is a variant of facility location problems. In this problem, we are given a set of users and a set of facilities on same metric space. We open some of the facilities and assign each user to an open facility, so that at…

Data Structures and Algorithms · Computer Science 2019-07-10 Soh Kumabe , Takanori Maehara

We consider the problem of locating a facility on a network, represented by a graph. A set of strategic agents have different ideal locations for the facility; the cost of an agent is the distance between its ideal location and the…

Computer Science and Game Theory · Computer Science 2009-07-14 Noga Alon , Michal Feldman , Ariel D. Procaccia , Moshe Tennenholtz

We study fair division of indivisible goods under the maximin share (MMS) fairness criterion in settings where agents are grouped into a small number of types, with agents within each type having identical valuations. For the special case…

Computer Science and Game Theory · Computer Science 2025-03-05 Jugal Garg , Parnian Shahkar

We consider fair allocation of indivisible items under an additional constraint: there is an undirected graph describing the relationship between the items, and each agent's share must form a connected subgraph of this graph. This framework…

Computer Science and Game Theory · Computer Science 2017-06-07 Sylvain Bouveret , Katarína Cechlárová , Edith Elkind , Ayumi Igarashi , Dominik Peters

We consider a multi agent optimization problem where a set of agents collectively solves a global optimization problem with the objective function given by the sum of locally known convex functions. We focus on the case when information…

Optimization and Control · Mathematics 2016-03-14 Ali Makhdoumi , Asuman Ozdaglar

First, we study geometric variants of the standard set cover motivated by assignment of directional antenna and shipping with deadlines, providing the first known polynomial-time exact solutions. Next, we consider the following general…

Computational Complexity · Computer Science 2009-09-30 Piotr Berman , Marek Karpinski , Andrzej Lingas

We study the task of node classification for graph neural networks (GNNs) and establish a connection between group fairness, as measured by statistical parity and equal opportunity, and local assortativity, i.e., the tendency of linked…

Social and Information Networks · Computer Science 2022-11-16 Donald Loveland , Jiong Zhu , Mark Heimann , Ben Fish , Michael T. Schaub , Danai Koutra

In recent work, Gourv\`es, Lesca, and Wilczynski propose a variant of the classic housing markets model where the matching between agents and objects evolves through Pareto-improving swaps between pairs of adjacent agents in a social…

Computer Science and Game Theory · Computer Science 2021-10-11 Fu Li , C. Gregory Plaxton , Vaibhav B. Sinha

We present a method for solving service allocation problems in which a set of services must be allocated to a set of agents so as to maximize a global utility. The method is completely distributed so it can scale to any number of services…

Multiagent Systems · Computer Science 2007-05-23 Jose M Vidal

We present a multi-scale forward search algorithm for distributed agents to solve single-query shortest path planning problems. Each agent first builds a representation of its own search space of the common environment as a multi-resolution…

Multiagent Systems · Computer Science 2019-10-10 Jaein Lim , Panagiotis Tsiotras

We introduce and analyze an extension to the matching problem on a weighted bipartite graph: Assignment with Type Constraints. The two parts of the graph are partitioned into subsets called types and blocks; we seek a matching with the…

Artificial Intelligence · Computer Science 2020-10-06 Nawal Benabbou , Mithun Chakraborty , Vinh Ho Xuan , Jakub Sliwinski , Yair Zick

We address the problem of planning collision-free paths for multiple agents using optimization methods known as proximal algorithms. Recently this approach was explored in Bento et al. 2013, which demonstrated its ease of parallelization…

Robotics · Computer Science 2015-04-14 José Bento , Nate Derbinsky , Charles Mathy , Jonathan S. Yedidia

Schelling's model considers $k$ types of agents each of whom needs to select a vertex on an undirected graph, where every agent prefers to neighbor agents of the same type. We are motivated by a recent line of work that studies solutions…

Data Structures and Algorithms · Computer Science 2022-01-19 Argyrios Deligkas , Eduard Eiben , Tiger-Lily Goldsmith

We develop an algorithm to solve the Bottleneck Assignment Problem (BAP) that is amenable to having computation distributed over a network of agents. This consists of exploring how each component of the algorithm can be distributed, with a…

Optimization and Control · Mathematics 2020-11-20 Mitchell Khoo , Tony A. Wood , Chris Manzie , Iman Shames

We study nonconvex distributed optimization in multi-agent networks with time-varying (nonsymmetric) connectivity. We introduce the first algorithmic framework for the distributed minimization of the sum of a smooth (possibly nonconvex and…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-02 Paolo Di Lorenzo , Gesualdo Scutari

The problem of search by multiple agents to find and localize objects arises in many important applications. In this paper, we study a class of multi-agent search problems in which each agent can access only a subset of a discrete search…

Optimization and Control · Mathematics 2017-09-13 Huanyu Ding , David Castanon