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This work presents an optimally-competitive algorithm for the problem of maximum weighted online perfect bipartite matching with i.i.d. arrivals. In this problem, we are given a known set of workers, a distribution over job types, and…

Data Structures and Algorithms · Computer Science 2019-06-03 Minjun Chang , Dorit S. Hochbaum , Quico Spaen , Mark Velednitsky

The online bisection problem is a natural dynamic variant of the classic optimization problem, where one has to dynamically maintain a partition of $n$ elements into two clusters of cardinality $n/2$. During runtime, an online algorithm is…

Data Structures and Algorithms · Computer Science 2024-03-19 Marcin Bienkowski , Stefan Schmid

A speed scaling problem is considered, where time is divided into slots, and jobs with payoff $v$ arrive at the beginning of the slot with associated deadlines $d$. Each job takes one slot to be processed, and multiple jobs can be processed…

Data Structures and Algorithms · Computer Science 2017-11-15 Goonwanth Reddy , Rahul Vaze

We contribute the first randomized algorithm that is an integration of arbitrarily many deterministic algorithms for the fully online multiprocessor scheduling with testing problem. When there are two machines, we show that with two…

Data Structures and Algorithms · Computer Science 2023-06-29 Mingyang Gong , Zhi-Zhong Chen , Guohui Lin , Lusheng Wang

We consider the problem of online job scheduling on a single machine or multiple unrelated machines with general job/machine-dependent cost functions. In this model, each job $j$ has a processing requirement (length) $v_{ij}$ and arrives…

Systems and Control · Electrical Eng. & Systems 2024-09-23 S. Rasoul Etesami

The following online bin packing problem is considered: Items with integer sizes are given and variable sized bins arrive online. A bin must be used if there is still an item remaining which fits in it when the bin arrives. The goal is to…

Data Structures and Algorithms · Computer Science 2018-06-05 Joan Boyar , Faith Ellen

Modern networked systems are increasingly reconfigurable, enabling demand-aware infrastructures whose resources can be adjusted according to the workload they currently serve. Such dynamic adjustments can be exploited to improve network…

Data Structures and Algorithms · Computer Science 2019-04-12 Monika Henzinger , Stefan Neumann , Stefan Schmid

In the weighted bipartite matching problem, the goal is to find a maximum-weight matching in a bipartite graph with nonnegative edge weights. We consider its online version where the first vertex set is known beforehand, but vertices of the…

Computer Science and Game Theory · Computer Science 2021-03-05 Rebecca Reiffenhäuser

We consider an online version of the well-studied network utility maximization problem, where users arrive one by one and an operator makes irrevocable decisions for each user without knowing the details of future arrivals. We propose a…

Data Structures and Algorithms · Computer Science 2021-01-27 Ying Cao , Bo Sun , Danny H. K. Tsang

We construct a deterministic 4-competitive algorithm for the online file migration problem, beating the currently best 20-year-old, 4.086-competitive MTLM algorithm by Bartal et al. (SODA 1997). Like MTLM, our algorithm also operates in…

Data Structures and Algorithms · Computer Science 2019-06-24 Marcin Bienkowski , Jaroslaw Byrka , Marcin Mucha

We consider the problem of solving packing/covering LPs online, when the columns of the constraint matrix are presented in random order. This problem has received much attention and the main focus is to figure out how large the right-hand…

Data Structures and Algorithms · Computer Science 2015-11-30 Anupam Gupta , Marco Molinaro

In online makespan minimization a sequence of jobs $\sigma = J_1,..., J_n$ has to be scheduled on $m$ identical parallel machines so as to minimize the maximum completion time of any job. We investigate the problem with an essentially new…

Data Structures and Algorithms · Computer Science 2013-04-23 Susanne Albers , Matthias Hellwig

For numerous online bipartite matching problems, such as edge-weighted matching and matching under two-sided vertex arrivals, the state-of-the-art fractional algorithms outperform their randomized integral counterparts. This gap is…

Data Structures and Algorithms · Computer Science 2022-11-08 Niv Buchbinder , Joseph , Naor , David Wajc

While online bipartite matching has gained significant attention in recent years, existing analyses in stochastic settings fail to capture the performance of algorithms on heterogeneous graphs, such as those incorporating inter-group…

Data Structures and Algorithms · Computer Science 2025-06-06 Maria Cherifa , Clément Calauzènes , Vianney Perchet

We consider TSP with time windows and service time. In this problem we receive a sequence of requests for a service at nodes in a metric space and a time window for each request. The goal of the online algorithm is to maximize the number of…

Data Structures and Algorithms · Computer Science 2015-01-27 Yossi Azar , Adi Vardi

We study the online stochastic matching problem. Consider a bipartite graph with offline vertices on one side, and with i.i.d.online vertices on the other side. The offline vertices and the distribution of online vertices are known to the…

Data Structures and Algorithms · Computer Science 2021-03-26 Zhiyi Huang , Xinkai Shu

The hitting set problem is one of the fundamental problems in combinatorial optimization and is well-studied in offline setup. We consider the online hitting set problem, where only the set of points is known in advance, and objects are…

Computational Geometry · Computer Science 2024-10-02 Minati De , Ratnadip Mandal , Satyam Singh

Greedy algorithms for feature selection are widely used for recovering sparse high-dimensional vectors in linear models. In classical procedures, the main emphasis was put on the sample complexity, with little or no consideration of the…

Machine Learning · Statistics 2021-02-11 El Mehdi Saad , Gilles Blanchard , Sylvain Arlot

We study a new online assignment problem, called the Online Task Assignment with Controllable Processing Time. In a bipartite graph, a set of online vertices (tasks) should be assigned to a set of offline vertices (machines) under the known…

Data Structures and Algorithms · Computer Science 2023-05-10 Ruoyu Wu , Wei Bao , Liming Ge

We study the online load balancing problem on unrelated machines, with the objective of minimizing the square of the $\ell_2$ norm of the loads on the machines. The greedy algorithm of Awerbuch et al. (STOC'95) is optimal for deterministic…

Data Structures and Algorithms · Computer Science 2025-11-06 Sander Borst , Danish Kashaev