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We present prior robust algorithms for a large class of resource allocation problems where requests arrive one-by-one (online), drawn independently from an unknown distribution at every step. We design a single algorithm that, for every…

数据结构与算法 · 计算机科学 2019-03-12 Nikhil R. Devanur , Kamal Jain , Balasubramanian Sivan , Christopher A. Wilkens

We consider a parallel system of $m$ identical machines prone to unpredictable crashes and restarts, trying to cope with the continuous arrival of tasks to be executed. Tasks have different computational requirements (i.e., processing time…

分布式、并行与集群计算 · 计算机科学 2016-03-21 Elli Zavou , Antonio Fernández Anta

We consider the setting of online computation with advice, and study the bin packing problem and a number of scheduling problems. We show that it is possible, for any of these problems, to arbitrarily approach a competitive ratio of $1$…

数据结构与算法 · 计算机科学 2015-08-06 Marc P. Renault , Adi Rosén , Rob van Stee

We study the online problem of assigning a moving point to a base-station region that contains it. For instance, the moving object could represent a cellular phone and the base station could represent the coverage zones of cell towers. Our…

计算几何 · 计算机科学 2011-05-03 David Eppstein , Michael T. Goodrich , Maarten Löffler

Consider a storage area where arriving items are stored temporarily in bounded capacity stacks until their departure. We look into the problem of deciding where to put an arriving item with the objective of minimizing the maximum number of…

数据结构与算法 · 计算机科学 2020-06-11 Martin Olsen , Allan Gross

In this paper we consider several related online computation problems. First, we study answering sequences of statistical queries arriving online, and being answered immediately when they arrive with differential privacy. Known matrix…

数据结构与算法 · 计算机科学 2026-05-12 Aleksandar Nikolov , Haohua Tang , Jonathan Ullman

In the setting of online algorithms, the input is initially not present but rather arrive one-by-one over time and after each input, the algorithm has to make a decision. Depending on the formulation of the problem, the algorithm might be…

数据结构与算法 · 计算机科学 2020-01-10 Mustafa Safa Ozdayi

In the online bipartite matching with reassignments problem, an algorithm is initially given only one side of the vertex set of a bipartite graph; the vertices on the other side are revealed to the algorithm one by one, along with its…

数据结构与算法 · 计算机科学 2020-03-12 Yongho Shin , Kangsan Kim , Seungmin Lee , Hyung-Chan An

We give an algorithmic framework for minimizing general convex objectives (that are differentiable and monotone non-decreasing) over a set of covering constraints that arrive online. This substantially extends previous work on online…

数据结构与算法 · 计算机科学 2014-12-12 Yossi Azar , Ilan Reuven Cohen , Debmalya Panigrahi

We consider the Online Rent Minimization problem, where online jobs with release times, deadlines, and processing times must be scheduled on machines that can be rented for a fixed length period of $T$. The objective is to minimize the…

数据结构与算法 · 计算机科学 2023-07-03 Enze Sun , Zonghan Yang , Yuhao Zhang

We consider the online unrelated-machine load balancing problem with recourse, where the algorithm is allowed to re-assign prior jobs. We give a $(2+\epsilon)$-competitive algorithm for the problem with $O_\epsilon(\log n)$ amortized…

数据结构与算法 · 计算机科学 2022-11-30 Ravishankar Krishnaswamy , Shi Li , Varun Suriyanarayana

We consider the classical online scheduling problem P||C_{max} in which jobs are released over list and provide a nearly optimal online algorithm. More precisely, an online algorithm whose competitive ratio is at most (1+\epsilon) times…

数据结构与算法 · 计算机科学 2013-02-19 Lin Chen , Deshi Ye , Guochuan Zhang

Sampling without replacement is a natural online rounding strategy for converting fractional bipartite matching into an integral one. In Online Bipartite Matching, we can use the Balance algorithm to fractionally match each online vertex,…

数据结构与算法 · 计算机科学 2024-10-10 Zhiyi Huang , Chui Shan Lee , Jianqiao Lu , Xinkai Shu

We study the online variant of the Min-Sum Set Cover (MSSC) problem, a generalization of the well-known list update problem. In the MSSC problem, an algorithm has to maintain the time-varying permutation of the list of $n$ elements, and…

数据结构与算法 · 计算机科学 2023-07-03 Mateusz Basiak , Marcin Bienkowski , Agnieszka Tatarczuk

We introduce the batched set cover problem, which is a generalization of the online set cover problem. In this problem, the elements of the ground set that need to be covered arrive in batches. Our main technical contribution is a tight…

数据结构与算法 · 计算机科学 2018-11-28 Juan C. Martínez Mori , Samitha Samaranayake

Migration presents sweeping societal challenges that have recently attracted significant attention from the scientific community. One of the prominent approaches that have been suggested employs optimization and machine learning to match…

计算机科学与博弈论 · 计算机科学 2019-11-20 Paul Gölz , Ariel D. Procaccia

We consider online fractional covering problems with a convex objective, where the covering constraints arrive over time. Formally, we want to solve $\min\,\{f(x) \mid Ax\ge \mathbf{1},\, x\ge 0\},$ where the objective function…

数据结构与算法 · 计算机科学 2014-12-30 Niv Buchbinder , Shahar Chen , Anupam Gupta , Viswanath Nagarajan , Joseph , Naor

This work introduces a natural variant of the online machine scheduling problem on unrelated machines, which we refer to as the favorite machine model. In this model, each job has a minimum processing time on a certain set of machines,…

数据结构与算法 · 计算机科学 2019-12-30 Cong Chen , Paolo Penna , Yinfeng Xu

Matching problems with group-fairness constraints and diversity constraints have numerous applications such as in allocation problems, committee selection, school choice, etc. Moreover, online matching problems have lots of applications in…

数据结构与算法 · 计算机科学 2023-08-04 Anand Louis , Meghana Nasre , Prajakta Nimbhorkar , Govind S. Sankar

Online load balancing for heterogeneous machines aims to minimize the makespan (maximum machine workload) by scheduling arriving jobs with varying sizes on different machines. In the adversarial setting, where an adversary chooses not only…

数据结构与算法 · 计算机科学 2024-05-22 Sungjin Im , Ravi Kumar , Shi Li , Aditya Petety , Manish Purohit