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We consider online scheduling to minimize weighted completion time on related machines, where each job consists of several tasks that can be concurrently executed. A job gets completed when all its component tasks finish. We obtain an…

Data Structures and Algorithms · Computer Science 2021-07-14 Anupam Gupta , Amit Kumar , Sahil Singla

The configuration balancing problem with stochastic requests generalizes many well-studied resource allocation problems such as load balancing and virtual circuit routing. In it, we have $m$ resources and $n$ requests. Each request has…

Data Structures and Algorithms · Computer Science 2022-08-30 Franziska Eberle , Anupam Gupta , Nicole Megow , Benjamin Moseley , Rudy Zhou

In a balancing network each processor has an initial collection of unit-size jobs (tokens) and in each round, pairs of processors connected by balancers split their load as evenly as possible. An excess token (if any) is placed according to…

Data Structures and Algorithms · Computer Science 2010-06-09 Tobias Friedrich , Thomas Sauerwald , Dan Vilenchik

We study online scheduling to minimize total completion time with explorable uncertainty on single and multiple machines. Each job comes with an upper limit of its processing time, which could be potentially reduced by testing the job,…

Discrete Mathematics · Computer Science 2026-05-11 Bob Krekelberg , Alison Hsiang-Hsuan Liu , Fu-Hong Liu , Prudence W. H. Wong , Xiao-Ou Zhang

Motivated by the use of high speed circuit switches in large scale data centers, we consider the problem of circuit switch scheduling. In this problem we are given demands between pairs of servers and the goal is to schedule at every time…

Data Structures and Algorithms · Computer Science 2019-05-09 Roy Schwartz , Mohit Singh , Sina Yazdanbod

We consider the online scheduling problem of moldable task graphs on multiprocessor systems for minimizing the overall completion time (or makespan). Moldable job scheduling has been widely studied in the literature, in particular when…

Data Structures and Algorithms · Computer Science 2023-04-28 Lucas Perotin , Hongyang Sun

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

We consider the problem of makespan minimization on unrelated machines when job sizes are stochastic. The goal is to find a fixed assignment of jobs to machines, to minimize the expected value of the maximum load over all the machines. For…

Data Structures and Algorithms · Computer Science 2019-04-17 Anupam Gupta , Amit Kumar , Viswanath Nagarajan , Xiangkun Shen

Cloud computing has given the new face to the distributed field. Two main issues are discussed in this paper, (I) the process of finding the efficient virtual machine by using the concept of load balancing algorithm. (II) Reallocation of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-04-16 Manan D. Shah , Harshad B. Prajapati

We consider the online bin packing problem under the advice complexity model where the 'online constraint' is relaxed and an algorithm receives partial information about the future requests. We provide tight upper and lower bounds for the…

Data Structures and Algorithms · Computer Science 2013-12-24 Joan Boyar , Shahin Kamali , Kim S. Larsen , Alejandro López-Ortiz

A parallel computer system is a collection of processing elements that communicate and cooperate to solve large computational problems efficiently. To achieve this, at first the large computational problem is partitioned into several tasks…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-09 Ardhendu Mandal , Subhas Chandra Pal

Bipartite matching markets pair agents on one side of a market with agents, items, or contracts on the opposing side. Prior work addresses online bipartite matching markets, where agents arrive over time and are dynamically matched to a…

Artificial Intelligence · Computer Science 2017-12-13 John P Dickerson , Karthik A Sankararaman , Aravind Srinivasan , Pan 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…

Data Structures and Algorithms · Computer Science 2023-08-04 Anand Louis , Meghana Nasre , Prajakta Nimbhorkar , Govind S. Sankar

We consider online algorithms for the {\em page migration problem} that use predictions, potentially imperfect, to improve their performance. The best known online algorithms for this problem, due to Westbrook'94 and Bienkowski et al'17,…

Data Structures and Algorithms · Computer Science 2020-06-11 Piotr Indyk , Frederik Mallmann-Trenn , Slobodan Mitrović , Ronitt Rubinfeld

Distributed load balancing is the act of allocating jobs among a set of servers as evenly as possible. There are mainly two versions of the load balancing problem that have been studied in the literature: static and dynamic. The static…

Performance · Computer Science 2020-11-04 Nitish K. Panigrahy , Thirupathaiah Vasantam , Prithwish Basu , Don Towsley

Motivated by bursty bandwidth allocation and by the allocation of virtual machines to servers in the cloud, we consider the online problem of packing items with random sizes into unit-capacity bins. Items arrive sequentially, but upon…

Optimization and Control · Mathematics 2021-02-08 Sebastian Perez-Salazar , Mohit Singh , Alejandro Toriello

The paper considers scheduling on parallel machines under the constraint that some pairs of jobs cannot be processed concurrently. Each job has an associated weight, and all jobs have the same deadline. The objective is to maximise the…

Data Structures and Algorithms · Computer Science 2021-06-15 Yakov Zinder , Joanna Berlińska , Charlie Peter

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…

Data Structures and Algorithms · Computer Science 2021-11-03 Nguyen Kim Thang

Load Balancing is a fundamental technology for scaling cloud infrastructure. It enables systems to distribute incoming traffic across backend servers using predefined algorithms such as round robin, weighted round robin, least connections,…

Networking and Internet Architecture · Computer Science 2025-05-14 Raju Singh

We introduce a weighted version of the ranking algorithm by Karp et al. (STOC 1990), and prove a competitive ratio of 0.6534 for the vertex-weighted online bipartite matching problem when online vertices arrive in random order. Our result…

Data Structures and Algorithms · Computer Science 2019-09-13 Zhiyi Huang , Zhihao Gavin Tang , Xiaowei Wu , Yuhao Zhang
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