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The time-optimal $k$-server problem minimizes the time spent serving all requests instead of the distances traveled. We give a lower bound of $2k-1$ on the competitive ratio of any deterministic online algorithm for this problem, which…

数据结构与算法 · 计算机科学 2025-03-10 Fabian Frei , Dennis Komm , Moritz Stocker , Philip Whittington

We study the distortion of one-sided and two-sided matching problems on the line. In the one-sided case, $n$ agents need to be matched to $n$ items, and each agent's cost in a matching is their distance from the item they were matched to.…

计算机科学与博弈论 · 计算机科学 2025-02-04 Aris Filos-Ratsikas , Vasilis Gkatzelis , Mohamad Latifian , Emma Rewinski , Alexandros A. Voudouris

We consider the classical online bipartite matching problem in the probe-commit model. In this problem, when an online vertex arrives, its edges must be probed to determine if they exist, based on known edge probabilities. A probing…

数据结构与算法 · 计算机科学 2024-12-16 Allan Borodin , Calum MacRury

We study the online unweighted bipartite matching problem in the random arrival order model, with $n$ offline and $n$ online vertices, in the learning-augmented setting: The algorithm is provided with untrusted predictions of the types…

机器学习 · 计算机科学 2025-12-01 Kunanon Burathep , Thomas Erlebach , William K. Moses

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 consider a dynamic system with multiple types of customers and servers. Each type of waiting customer or server joins a separate queue, forming a bipartite graph with customer-side queues and server-side queues. The platform can match…

最优化与控制 · 数学 2024-11-19 Zixian Yang , Lei Ying

We develop a new approach for online network design and obtain improved competitive ratios for several problems. Our approach gives natural deterministic algorithms and simple analyses. At the heart of our work is a novel application of…

数据结构与算法 · 计算机科学 2014-10-17 Seeun Umboh

The bounded delay buffer management problem, which was proposed by Kesselman et~al.\ (STOC 2001 and SIAM Journal on Computing 33(3), 2004), is an online problem focusing on buffer management of a switch supporting Quality of Service (QoS).…

数据结构与算法 · 计算机科学 2018-07-03 Koji M. Kobayashi

We study stationary online bipartite matching, where both types of nodes--offline and online--arrive according to Poisson processes. Offline nodes wait to be matched for some random time, determined by an exponential distribution, while…

数据结构与算法 · 计算机科学 2024-11-14 Alireza AmaniHamedani , Ali Aouad , Tristan Pollner , Amin Saberi

We consider online algorithms for pull-based broadcast scheduling. In this setting there are n pages of information at a server and requests for pages arrive online. When the server serves (broadcasts) a page p, all outstanding requests for…

数据结构与算法 · 计算机科学 2009-06-12 Chandra Chekuri , Sungjin Im , Benjamin Moseley

We study an online generalization of the classic Joint Replenishment Problem (JRP) that models the trade-off between ordering costs, holding costs, and backlog costs in supply chain planning systems. A retailer places orders to a supplier…

数据结构与算法 · 计算机科学 2024-10-25 Benjamin Moseley , Aidin Niaparast , R. Ravi

Within the context of stochastic probing with commitment, we consider the online stochastic matching problem; that is, the one sided online bipartite matching problem where edges adjacent to an online node must be probed to determine if…

数据结构与算法 · 计算机科学 2021-01-07 Allan Borodin , Calum MacRury , Akash Rakheja

We present a new approach, called a lazy matching, to the problem of on-line matching on bipartite graphs. Imagine that one side of a graph is given and the vertices of the other side are arriving on-line. Originally, incoming vertex is…

数据结构与算法 · 计算机科学 2018-05-21 Jakub Kozik , Grzegorz Matecki

We introduce a `concrete complexity' model for studying algorithms for matching in bipartite graphs. The model is based on the "demand query" model used for combinatorial auctions. Most (but not all) known algorithms for bipartite matching…

计算复杂性 · 计算机科学 2019-06-12 Noam Nisan

Online bipartite matching has been extensively studied. In the unweighted setting, Karp et al. gave an optimal $(1 - 1/e)$-competitive randomized algorithm. In the weighted setting, optimal algorithms have been achieved only under…

数据结构与算法 · 计算机科学 2021-11-03 Nguyen Kim Thang

This paper studies an online cost optimization problem for distributed storage and access. The goal is to dynamically create and delete copies of data objects over time at geo-distributed servers to serve access requests and minimize the…

数据结构与算法 · 计算机科学 2025-10-29 Tianyu Zuo , Xueyan Tang , Bu Sung Lee , Jianfei Cai

A natural variant of the classical online $k$-server problem is the Weighted $k$-server problem, where the cost of moving a server is its weight times the distance through which it moves. Despite its apparent simplicity, the weighted…

数据结构与算法 · 计算机科学 2024-10-10 Nikhil Ayyadevara , Ashish Chiplunkar , Amatya Sharma

We introduce a natural online allocation problem that connects several of the most fundamental problems in online optimization. Let $M$ be an $n$-point metric space. Consider a resource that can be allocated in arbitrary fractions to the…

数据结构与算法 · 计算机科学 2021-12-01 Nikhil Bansal , Christian Coester

We consider the problem of scheduling packets of different lengths via a directed communication link prone to jamming errors. Dynamic packet arrivals and errors are modelled by an adversary. We focus on estimating relative throughput of…

分布式、并行与集群计算 · 计算机科学 2013-10-21 Tomasz Jurdzinski , Dariusz R. Kowalski , Krzysztof Lorys

The weighted $k$-server is a variant of the $k$-server problem, where the cost of moving a server is the server's weight times the distance through which it moves. The problem is famous for its intriguing properties and for evading standard…

数据结构与算法 · 计算机科学 2025-10-28 Adithya Bijoy , Ankit Mondal , Ashish Chiplunkar