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Many problems in machine learning and game theory can be formulated as saddle-point problems, for which various first-order methods have been developed and proven efficient in practice. Under the general convex-concave assumption, most…

Machine Learning · Computer Science 2020-06-16 Yuan Gao , Christian Kroer , Donald Goldfarb

We initiate the work on maximin share (MMS) fair allocation of m indivisible chores to n agents using only their ordinal preferences, from both algorithmic and mechanism design perspectives. The previous best-known approximation is 2-1/n by…

Computer Science and Game Theory · Computer Science 2020-12-29 Haris Aziz , Bo Li , Xiaowei Wu

Ranking algorithms are deployed widely to order a set of items in applications such as search engines, news feeds, and recommendation systems. Recent studies, however, have shown that, left unchecked, the output of ranking algorithms can…

Data Structures and Algorithms · Computer Science 2018-07-31 L. Elisa Celis , Damian Straszak , Nisheeth K. Vishnoi

We consider the {\em matroid median} problem \cite{KrishnaswamyKNSS11}, wherein we are given a set of facilities with opening costs and a matroid on the facility-set, and clients with demands and connection costs, and we seek to open an…

Data Structures and Algorithms · Computer Science 2016-09-30 Chaitanya Swamy

In this paper, we study the following robust optimization problem. Given an independence system and candidate objective functions, we choose an independent set, and then an adversary chooses one objective function, knowing our choice. Our…

Data Structures and Algorithms · Computer Science 2018-05-22 Yasushi Kawase , Hanna Sumita

In this contribution, we establish a model for multichannel cognitive radio networks (CRNs) using the theory of priority queues. This model enables us to conduct a performance analysis in the most general form by the derivation of the…

Networking and Internet Architecture · Computer Science 2014-01-28 Navid Tadayon , Sonia Aissa

Real-time end-to-end task scheduling in networked control systems (NCSs) requires the joint consideration of both network and computing resources to guarantee the desired quality of service (QoS). This paper introduces a new model for…

Networking and Internet Architecture · Computer Science 2022-10-21 Peng Wu , Chenchen Fu , Tianyu Wang , Minming Li , Yingchao Zhao , Chun Jason Xue , Song Han

When building recommendation systems, we seek to output a helpful set of items to the user. Under the hood, a ranking model predicts which of two candidate items is better, and we must distill these pairwise comparisons into the user-facing…

Information Retrieval · Computer Science 2022-07-05 Anastasios N. Angelopoulos , Karl Krauth , Stephen Bates , Yixin Wang , Michael I. Jordan

We design novel mechanisms for welfare-maximization in two-sided markets. That is, there are buyers willing to purchase items and sellers holding items initially, both acting rationally and strategically in order to maximize utility. Our…

Computer Science and Game Theory · Computer Science 2021-06-01 Alexander Braun , Thomas Kesselheim

In the online simple knapsack problem items are presented in an iterative fashion and an algorithm has to decide for each item whether to reject or permanently include it into the knapsack without any knowledge about the rest of the…

Data Structures and Algorithms · Computer Science 2022-02-07 Hans-Joachim Boeckenhauer , Elisabet Burjons , Fabian Frei , Juraj Hromkovic , Henri Lotze , Peter Rossmanith

We re-visit the global - relative to control policies - stability of multiclass queueing networks. In these, as is known, it is generally insufficient that the nominal utilization at each server is below 100%. Certain policies, although…

Optimization and Control · Mathematics 2024-03-08 Feiyang Zhao , Itai Gurvich , John Hasenbein

In this paper we study a periodic-review single-commodity setup-cost inventory model with backorders and holding/backlog costs satisfying quasiconvexity assumptions. We show that the Markov decision process for this inventory model…

Optimization and Control · Mathematics 2017-11-09 Eugene A. Feinberg , Yan Liang

Allocating $m$ indivisible goods among $n$ agents is a fundamental task in fair division. Recent work of Garg and Psomas [AAMAS 2025] initiated the study of parallel algorithms for envy-free up to one good (EF1) allocations, giving NC…

Data Structures and Algorithms · Computer Science 2026-05-19 Kishen N Gowda , D Ellis Hershkowitz , Richard Z Huang , Gregory Kehne

The $k$-Server Problem covers plenty of resource allocation scenarios, and several variations have been studied extensively for decades. We present a model generalizing the $k$-Server Problem by preferences of the requests, where the…

Data Structures and Algorithms · Computer Science 2022-10-21 Jannik Castenow , Björn Feldkord , Till Knollmann , Manuel Malatyali , Friedhelm Meyer auf der Heide

The Container Relocation Problem (CRP) is concerned with finding a sequence of moves of containers that minimizes the number of relocations needed to retrieve all containers respecting a given order of retrieval. While the problem is known…

Data Structures and Algorithms · Computer Science 2015-10-08 Setareh Borjian , Virgile Galle , Vahideh H. Manshadi , Cynthia Barnhart , Patrick Jaillet

We study a fundamental model of resource allocation in which a finite number of resources must be assigned in an online manner to a heterogeneous stream of customers. The customers arrive randomly over time according to known stochastic…

Optimization and Control · Mathematics 2018-05-16 Clifford Stein , Van-Anh Truong , Xinshang Wang

The problem of non-monotone $k$-submodular maximization under a knapsack constraint ($\kSMK$) over the ground set size $n$ has been raised in many applications in machine learning, such as data summarization, information propagation, etc.…

Data Structures and Algorithms · Computer Science 2023-09-22 Dung T. K. Ha , Canh V. Pham , Tan D. Tran , Huan X. Hoang

Two-Stage Vehicle Routing Problems with Stochastic Demands (VRPSDs) form a class of stochastic combinatorial optimization problems where routes are planned in advance, demands are revealed upon vehicle arrival, and recourse actions are…

Optimization and Control · Mathematics 2026-05-07 Matheus J. Ota , Ricardo Fukasawa

We study online contention resolution schemes (OCRSs) and prophet inequalities for non-product distributions. Specifically, when the active set is sampled according to a pairwise-independent (PI) distribution, we show a…

Data Structures and Algorithms · Computer Science 2024-06-25 Anupam Gupta , Jinqiao Hu , Gregory Kehne , Roie Levin

We consider the problem of fairly allocating indivisible goods, among agents, under cardinality constraints and additive valuations. In this setting, we are given a partition of the entire set of goods---i.e., the goods are…

Computer Science and Game Theory · Computer Science 2020-10-20 Siddharth Barman , Arpita Biswas