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We consider the stochastic scheduling problem of minimizing the expected makespan on $m$ parallel identical machines. While the (adaptive) list scheduling policy achieves an approximation ratio of $2$, any (non-adaptive) fixed assignment…

Discrete Mathematics · Computer Science 2021-06-30 Guillaume Sagnol , Daniel Schmidt genannt Waldschmidt

Motivated by the Quality-of-Service (QoS) buffer management problem, we consider online scheduling of packets with hard deadlines in a finite capacity queue. At any time, a queue can store at most $b \in \mathbb Z^+$ packets. Packets arrive…

Data Structures and Algorithms · Computer Science 2009-02-09 Fei Li

This paper considers scheduling on identical machines. The scheduling objective considered in this paper generalizes most scheduling minimization problems. In the problem, there are $n$ jobs and each job $j$ is associated with a…

Data Structures and Algorithms · Computer Science 2019-04-23 Benjamin Moseley

In the classic online graph balancing problem, edges arrive sequentially and must be oriented immediately upon arrival, to minimize the maximum in-degree. For adversarial arrivals, the natural greedy algorithm is $O(\log n)$-competitive,…

Data Structures and Algorithms · Computer Science 2026-04-07 Nikhil Bansal , Milind Prabhu , Sahil Singla , Siddharth M. Sundaram

We perform an experimental study of algorithms for online bipartite matching under the known i.i.d. input model with integral types. In the last decade, there has been substantial effort in designing complex algorithms with the goal of…

Data Structures and Algorithms · Computer Science 2018-08-16 Allan Borodin , Christodoulos Karavasilis , Denis Pankratov

With multiple identical unit speed servers, the online problem of scheduling jobs that migrate between two phases, limitedly parallelizable or completely sequential, and choosing their respective speeds to minimize the total flow time is…

Data Structures and Algorithms · Computer Science 2022-05-03 Rahul Vaze

Real-time systems are intrinsic components of many pivotal applications, such as self-driving vehicles, aerospace and defense systems. The trend in these applications is to incorporate multiple tasks onto fewer, more powerful hardware…

Operating Systems · Computer Science 2024-10-03 V. Gabriel Moyano , Zain A. H. Hammadeh , Selma Saidi , Daniel Lüdtke

We consider a stochastic, dynamic job scheduling problem, formulated as a queueing control problem, in which a single server processes jobs of different types that arrive according to independent Poisson processes. The problem is defined on…

Optimization and Control · Mathematics 2025-09-09 Dongnuan Tian , Rob Shone

Multi-server jobs that request multiple computing resources and hold onto them during their execution dominate modern computing clusters. When allocating the multi-type resources to several co-located multi-server jobs simultaneously in…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-08 Hailiang Zhao , Shuiguang Deng , Zhengzhe Xiang , Xueqiang Yan , Jianwei Yin , Schahram Dustdar , Albert Y. Zomaya

We study the greedy-based online algorithm for edge-weighted matching with (one-sided) vertex arrivals in bipartite graphs, and edge arrivals in general graphs. This algorithm was first studied more than a decade ago by Korula and P\'al for…

Data Structures and Algorithms · Computer Science 2021-12-28 Haim Kaplan , David Naori , Danny Raz

In many scheduling applications, minimizing delays is of high importance. One adverse effect of such delays is that the reward for completion of a job may decay over time. Indeed in healthcare settings, delays in access to care can result…

Systems and Control · Computer Science 2016-10-24 Neal Master , Carri W. Chan , Nicholas Bambos

At SODA 2009, Demaine et al. presented a novel connection between binary search trees (BSTs) and subsets of points on the plane. This connection was independently discovered by Derryberry et al. As part of their results, Demaine et al.…

Data Structures and Algorithms · Computer Science 2011-05-02 Kyle Fox

We consider the problem of online load balancing under lp-norms: sequential jobs need to be assigned to one of the machines and the goal is to minimize the lp-norm of the machine loads. This generalizes the classical problem of scheduling…

Data Structures and Algorithms · Computer Science 2016-10-31 Marco Molinaro

We present a federated, asynchronous, memory-limited algorithm for online task scheduling across large-scale networks of hundreds of workers. This is achieved through recent advancements in federated edge computing that unlocks the ability…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-29 Andreas Grammenos , Evangelia Kalyvianaki , Peter Pietzuch

We consider the problem of energy-efficient scheduling across multiple processors with a power-down mechanism. In this setting a set of $n$ jobs with individual release times, deadlines, and processing volumes must be scheduled across $m$…

Data Structures and Algorithms · Computer Science 2023-07-04 Gunther Bidlingmaier

The modern network aims to prioritize critical traffic over non-critical traffic and effectively manage traffic flow. This necessitates proper buffer management to prevent the loss of crucial traffic while minimizing the impact on…

Data Structures and Algorithms · Computer Science 2024-02-26 Ya-Chun Liang , Clifford Stein , Hao-Ting Wei

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

In the Online Machine Covering problem jobs, defined by their sizes, arrive one by one and have to be assigned to $m$ parallel and identical machines, with the goal of maximizing the load of the least-loaded machine. In this work, we study…

Data Structures and Algorithms · Computer Science 2021-10-28 Susanne Albers , Waldo Gálvez , Maximilian Janke

Recent years have witnessed a rapid growth of distributed machine learning (ML) frameworks, which exploit the massive parallelism of computing clusters to expedite ML training. However, the proliferation of distributed ML frameworks also…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-16 Menglu Yu , Jia Liu , Chuan Wu , Bo Ji , Elizabeth S. Bentley

The rigid gang task model is based on the idea of executing multiple threads simultaneously on a fixed number of processors to increase efficiency and performance. Although there is extensive literature on global rigid gang scheduling,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-04 Binqi Sun , Tomasz Kloda , Marco Caccamo