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In multiprocessor systems, one of the main factors of systems' performance is task scheduling. The well the task be distributed among the processors the well be the performance. Again finding the optimal solution of scheduling the tasks…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-10 Probir Roy , Md. Mejbah Ul Alam , Nishita Das

The problem of online matching with stochastic rewards is a generalization of the online bipartite matching problem where each edge has a probability of success. When a match is made it succeeds with the probability of the corresponding…

Data Structures and Algorithms · Computer Science 2022-05-12 Vineet Goyal , Rajan Udwani

When designing a preemptive online algorithm for the maximum matching problem, we wish to maintain a valid matching M while edges of the underlying graph are presented one after the other. When presented with an edge e, the algorithm should…

Data Structures and Algorithms · Computer Science 2015-03-20 Leah Epstein , Asaf Levin , Danny Segev , Oren Weimann

In this paper we analyze the worst-case performance of a greedy algorithm called Largest-Z-ratio-First for the problem of scheduling unreliable jobs on m parallel machines. Each job is characterized by a success probability and a reward…

Optimization and Control · Mathematics 2020-03-24 Alessandro Agnetis , Thomas Lidbetter

Randomized algorithms provide solutions to two ubiquitous problems: (1) the distributed calculation of a principal component analysis or singular value decomposition of a highly rectangular matrix, and (2) the distributed calculation of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-09 Huamin Li , Yuval Kluger , Mark Tygert

We consider the scheduling problem on $n$ strategic unrelated machines when no payments are allowed, under the objective of minimizing the makespan. We adopt the model introduced in [Koutsoupias, Theory Comput. Syst. (2014)] where a machine…

Computer Science and Game Theory · Computer Science 2018-12-05 Yiannis Giannakopoulos , Elias Koutsoupias , Maria Kyropoulou

Makespan minimization on parallel identical machines is a classical and intensively studied problem in scheduling, and a classic example for online algorithm analysis with Graham's famous list scheduling algorithm dating back to the 1960s.…

Data Structures and Algorithms · Computer Science 2022-01-14 Leah Epstein , Alexandra Lassota , Asaf Levin , Marten Maack , Lars Rohwedder

Motivated by Internet targeted advertising, we address several ad allocation problems. Prior work has established these problems admit no randomized online algorithm better than $(1-\frac{1}{e})$-competitive…

Data Structures and Algorithms · Computer Science 2015-04-30 Joseph , Naor , David Wajc

In online scheduling, jobs are available one by one and each job must be scheduled irrevocably before the availability of the next job. Semi-online scheduling is a relaxed variant of online scheduling, where an additional memory in terms of…

Data Structures and Algorithms · Computer Science 2020-05-19 Debasis Dwibedy , Rakesh Mohanty

We study the online scheduling problem where the machines need to be calibrated before processing any jobs. To calibrate a machine, it will take $\lambda$ time steps as the activation time, and then the machine will remain calibrated status…

Data Structures and Algorithms · Computer Science 2022-02-18 Zuzhi Chen , Jialin Zhang

It has been found that stochastic algorithms often find good solutions much more rapidly than inherently-batch approaches. Indeed, a very useful rule of thumb is that often, when solving a machine learning problem, an iterative technique…

Machine Learning · Computer Science 2013-08-19 Andrew Cotter

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

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

We consider a new and general online resource allocation problem, where the goal is to maximize a function of a positive semidefinite (PSD) matrix with a scalar budget constraint. The problem data arrives online, and the algorithm needs to…

Optimization and Control · Mathematics 2019-04-09 Reza Eghbali , James Saunderson , Maryam Fazel

This paper considers a distributed stochastic optimization problem where the goal is to minimize the time average of a cost function subject to a set of constraints on the time averages of a related stochastic processes called penalties. We…

Information Theory · Computer Science 2016-10-06 B. N. Bharath , Vaishali P

We investigate the problem of heterogeneous task assignment in crowdsourcing markets from the point of view of the requester, who has a collection of tasks. Workers arrive online one by one, and each declare a set of feasible tasks they can…

Data Structures and Algorithms · Computer Science 2015-08-17 Sepehr Assadi , Justin Hsu , Shahin Jabbari

Randomized algorithms for low-rank approximation of quaternion matrices have gained increasing attention in recent years. However, existing methods overlook pass efficiency, the ability to limit the number of passes over the input…

Numerical Analysis · Mathematics 2026-03-25 Salman Ahmadi-Asl , Malihe Nobakht Kooshkghazi , Valentin Leplat

The scheduling literature has traditionally focused on a single type of resource (e.g., computing nodes). However, scientific applications in modern High-Performance Computing (HPC) systems process large amounts of data, hence have diverse…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-15 Lucas Perotin , Hongyang Sun , Padma Raghavan

Malleable scheduling is a model that captures the possibility of parallelization to expedite the completion of time-critical tasks. A malleable job can be allocated and processed simultaneously on multiple machines, occupying the same time…

Discrete Mathematics · Computer Science 2022-03-29 Dimitris Fotakis , Jannik Matuschke , Orestis Papadigenopoulos

We analyze the problem of job scheduling with preempting on weighted jobs that can have either linear or exponential penalties. We review relevant literature on the problem and create and describe a few online algorithms that perform…

Data Structures and Algorithms · Computer Science 2023-01-26 Frederick Tang , Fareed Sheriff , Andrew Wang