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In this paper, we consider the network slicing problem which attempts to map multiple customized virtual network requests (also called services) to a common shared network infrastructure and allocate network resources to meet diverse…

Networking and Internet Architecture · Computer Science 2021-02-05 Wei-Kun Chen , Ya-Feng Liu , Yu-Hong Dai , Zhi-Quan Luo

We study the minimum-cost metric perfect matching problem under online i.i.d arrivals. We are given a fixed metric with a server at each of the points, and then requests arrive online, each drawn independently from a known probability…

Data Structures and Algorithms · Computer Science 2019-04-22 Anupam Gupta , Guru Guruganesh , Binghui Peng , David Wajc

We consider bidding in repeated Bayesian first-price auctions. Bidding algorithms that achieve optimal regret have been extensively studied, but their strategic robustness to the seller's manipulation remains relatively underexplored.…

Computer Science and Game Theory · Computer Science 2026-02-13 Yang Cai , Haipeng Luo , Chen-Yu Wei , Weiqiang Zheng

We consider the online minimum cost matching problem on the line, in which there are $n$ servers and, at each of $n$ time steps, a request arrives and must be irrevocably matched to a server that has not yet been matched to, with the goal…

Data Structures and Algorithms · Computer Science 2025-03-28 Eric Balkanski , Yuri Faenza , Noemie Perivier

In traditional on-line problems, such as scheduling, requests arrive over time, demanding available resources. As each request arrives, some resources may have to be irrevocably committed to servicing that request. In many situations,…

Data Structures and Algorithms · Computer Science 2013-05-29 Michael A. Bender , Martin Farach-Colton , Sándor P. Fekete , Jeremy T. Fineman , Seth Gilbert

This paper studies the online scheduling problem of minimizing total flow time for $n$ jobs on $m$ identical machines. A classical $\Omega(n)$ lower bound shows that no deterministic single-machine algorithm can beat the trivial greedy,…

Data Structures and Algorithms · Computer Science 2026-04-02 Yutong Geng , Enze Sun , Zonghan Yang , Yuhao Zhang

We consider a variant of the online caching problem where the items exhibit dependencies among each other: an item can reside in the cache only if all its dependent items are also in the cache. The dependency relations can form any directed…

Data Structures and Algorithms · Computer Science 2024-01-31 Julien Dallot , Amirmehdi Jafari Fesharaki , Maciej Pacut , Stefan Schmid

We consider the basic problem of learning an unknown partition of $n$ elements into at most $k$ sets using simple queries that reveal information about a small subset of elements. Our starting point is the well-studied pairwise same-set…

Data Structures and Algorithms · Computer Science 2025-06-24 Hadley Black , Arya Mazumdar , Barna Saha

We initiate a study of the streaming complexity of constraint satisfaction problems (CSPs) when the constraints arrive in a random order. We show that there exists a CSP, namely $\textsf{Max-DICUT}$, for which random ordering makes a…

Data Structures and Algorithms · Computer Science 2023-04-14 Raghuvansh R. Saxena , Noah Singer , Madhu Sudan , Santhoshini Velusamy

We consider the online Minimum-Cost Perfect Matching with Delays (MPMD) problem introduced by Emek et al. (STOC 2016), in which a general metric space is given, and requests are submitted in different times in this space by an adversary.…

Data Structures and Algorithms · Computer Science 2018-08-08 Yossi Azar , Amit Jacob-Fanani

Moss and Rabani[12] study constrained node-weighted Steiner tree problems with two independent weight values associated with each node, namely, cost and prize (or penalty). They give an O(log n)-approximation algorithm for the…

Data Structures and Algorithms · Computer Science 2013-04-30 MohammadHossein Bateni , MohammadTaghi Hajiaghayi , Vahid Liaghat

In online interval scheduling, the input is an online sequence of intervals, and the goal is to accept a maximum number of non-overlapping intervals. In the more general disjoint path allocation problem, the input is a sequence of requests,…

Data Structures and Algorithms · Computer Science 2025-01-24 Joan Boyar , Lene M. Favrholdt , Shahin Kamali , Kim S. Larsen

We consider the online Min-Sum Set Cover (MSSC), a natural and intriguing generalization of the classical list update problem. In Online MSSC, the algorithm maintains a permutation on $n$ elements based on subsets $S_1, S_2, \ldots$…

Data Structures and Algorithms · Computer Science 2022-06-30 Dimitris Fotakis , Loukas Kavouras , Grigorios Koumoutsos , Stratis Skoulakis , Manolis Vardas

The Split Packing algorithm \cite{splitpacking_ws, splitpackingsoda, splitpacking} is an offline algorithm that packs a set of circles into triangles and squares up to critical density. In this paper, we develop an online alternative to…

Computational Geometry · Computer Science 2018-11-22 Shunhao Oh , Seth Gilbert

This paper studies the online correlated selection (OCS) problem. It was introduced by Fahrbach, Huang, Tao, and Zadimoghaddam (2020) to obtain the first edge-weighted online bipartite matching algorithm that breaks the $0.5$ barrier.…

Data Structures and Algorithms · Computer Science 2021-12-17 Ruiquan Gao , Zhongtian He , Zhiyi Huang , Zipei Nie , Bijun Yuan , Yan Zhong

This paper presents a new research direction for online Multi-Level Aggregation (MLA) with delays. In this problem, we are given an edge-weighted rooted tree $T$, and we have to serve a sequence of requests arriving at its vertices in an…

Data Structures and Algorithms · Computer Science 2024-10-01 Mathieu Mari , Michał Pawłowski , Runtian Ren , Piotr Sankowski

The $CONGEST$ model for distributed network computing is well suited for analyzing the impact of limiting the throughput of a network on its capacity to solve tasks efficiently. For many "global" problems there exists a lower bound of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-21 Dennis Olivetti

Traffic grooming is a major issue in optical networks. It refers to grouping low rate signals into higher speed streams, in order to reduce the equipment cost. In SONET WDM networks, this cost is mostly given by the number of electronic…

Combinatorics · Mathematics 2008-12-18 Xavier Muñoz , Ignasi Sau Valls

We initiate the study of two-sided online resource allocation with costly cancellations. Our focus is on edge-weighted online bipartite matching (and several of its extensions), where nodes arrive online and request offline resources. In…

Data Structures and Algorithms · Computer Science 2025-09-04 Farbod Ekbatani , Yiding Feng , Rad Niazadeh

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…

Optimization and Control · Mathematics 2024-11-19 Zixian Yang , Lei Ying
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