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We introduce several generalizations of classical computer science problems obtained by replacing simpler objective functions with general submodular functions. The new problems include submodular load balancing, which generalizes load…

Data Structures and Algorithms · Computer Science 2010-06-02 Zoya Svitkina , Lisa Fleischer

The optimization of submodular functions on the integer lattice has received much attention recently, but the objective functions of many applications are non-submodular. We provide two approximation algorithms for maximizing a…

Data Structures and Algorithms · Computer Science 2018-05-21 Alan Kuhnle , J. David Smith , Victoria G. Crawford , My T. Thai

In various online/offline multi-agent networked environments, it is very popular that the system can benefit from coordinating actions of two interacting agents at some cost of coordination. In this paper, we first formulate an optimization…

Systems and Control · Computer Science 2018-09-14 Hyeryung Jang , Jinwoo Shin , Yung Yi

We consider the problem of maximizing the multilinear extension of a submodular function subject a single matroid constraint or multiple packing constraints with a small number of adaptive rounds of evaluation queries. We obtain the first…

Data Structures and Algorithms · Computer Science 2018-11-12 Alina Ene , Huy L. Nguyen , Adrian Vladu

The Submodular Welfare Maximization problem (SWM) captures an important subclass of combinatorial auctions and has been studied extensively from both computational and economic perspectives. In particular, it has been studied in a natural…

Data Structures and Algorithms · Computer Science 2018-11-20 Niv Buchbinder , Moran Feldman , Yuval Filmus , Mohit Garg

We address the problem of load shaping within a network of coupled microgrids (MGs) in a bilevel optimisation framework. To this end, we consider the charging/discharging rates of residential energy storage devices within each MG on the…

Optimization and Control · Mathematics 2022-05-17 Philipp Sauerteig

We study the problem of minimizing the sum of potentially non-differentiable convex cost functions with partially overlapping dependences in an asynchronous manner, where communication in the network is not coordinated. We study the…

Optimization and Control · Mathematics 2021-02-17 Yankai Lin , Iman Shames , Dragan Nesic

This paper presents a unified approach for maximizing continuous DR-submodular functions that encompasses a range of settings and oracle access types. Our approach includes a Frank-Wolfe type offline algorithm for both monotone and…

Machine Learning · Computer Science 2024-01-15 Mohammad Pedramfar , Christopher John Quinn , Vaneet Aggarwal

Motivated by a wide variety of applications, this paper introduces a general class of networks of stochastic loss systems in which congestion renders lost revenue due to customers or jobs being permanently removed from the system. We seek…

Networking and Internet Architecture · Computer Science 2022-05-12 Brendan Patch , Mark S. Squillante , Peter M. Van de Ven

Performance and reliability of content access in mobile networks is conditioned by the number and location of content replicas deployed at the network nodes. Facility location theory has been the traditional, centralized approach to study…

Networking and Internet Architecture · Computer Science 2009-09-11 Chi-Anh La , Pietro Michiardi , Claudio Casetti , Carla-Fabiana Chiasserini , Marco Fiore

Content caching at the edge of network is a promising technique to alleviate the burden of backhaul networks. In this paper, we consider content caching along time in a base station with limited cache capacity. As the popularity of contents…

Networking and Internet Architecture · Computer Science 2020-01-14 Ghafour Ahani , Di Yuan

In this paper we design a new primal-dual algorithm for the classic discrete optimization problem of maximizing a monotone submodular function subject to a cardinality constraint achieving the optimal approximation of $(1-1/e)$. This…

Data Structures and Algorithms · Computer Science 2023-11-15 Deeparnab Chakrabarty , Luc Cote

This paper addresses dynamic task allocation in resource-constrained multi-agent systems (MASs) with sequentially updated assignments. We develop a submodular maximization framework integrated with $q$-independence systems, demonstrating…

Multiagent Systems · Computer Science 2026-05-11 Jing Liu , Fangfei Li , Xin Jin , Yang Tang

Mobile-edge computing (MEC) has recently emerged as a cost-effective paradigm to enhance the computing capability of hardware-constrained wireless devices (WDs). In this paper, we first consider a two-user MEC network, where each WD has a…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-24 Jia Yan , Suzhi Bi , Ying-Jun Angela Zhang , Meixia Tao

We briefly discuss the greedy method and a couple of its more efficient variants for approximately maximizing monotone submodular functions.

Optimization and Control · Mathematics 2025-10-21 Alen Alexanderian

Constrained maximization of submodular functions poses a central problem in combinatorial optimization. In many realistic scenarios, a number of agents need to maximize multiple submodular objectives over the same ground set. We study such…

Data Structures and Algorithms · Computer Science 2024-07-22 Georgios Amanatidis , Georgios Birmpas , Philip Lazos , Stefano Leonardi , Rebecca Reiffenhäuser

An edge computing environment features multiple edge servers and multiple service clients. In this environment, mobile service providers can offload client-side computation tasks from service clients' devices onto edge servers to reduce…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-13 Wei Du , Tao Lei , Qiang He , Wei Liu , Qiwang Lei , Hailiang Zhao , Wei Wang

Consider the following problem: given a set system (U,I) and an edge-weighted graph G = (U, E) on the same universe U, find the set A in I such that the Steiner tree cost with terminals A is as large as possible: "which set in I is the most…

Data Structures and Algorithms · Computer Science 2011-02-25 Anupam Gupta , Viswanath Nagarajan , R. Ravi

In this work, we design and analyze novel distributed scheduling algorithms for multi-user MIMO systems. In particular, we consider algorithms which do not require sending channel state information to a central processing unit, nor do they…

Information Theory · Computer Science 2015-03-20 Joseph Kampeas , Asaf Cohen , Omer Gurewitz

We consider the following two deterministic inventory optimization problems over a finite planning horizon $T$ with non-stationary demands. (a) Submodular Joint Replenishment Problem: This involves multiple item types and a single retailer…

Data Structures and Algorithms · Computer Science 2015-04-27 Viswanath Nagarajan , Cong Shi
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