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We study the online preemptive scheduling of intervals and jobs (with restarts). Each interval or job has an arrival time, a deadline, a length and a weight. The objective is to maximize the total weight of completed intervals or jobs.…

Data Structures and Algorithms · Computer Science 2012-04-16 Stanley P. Y. Fung , Chung Keung Poon , Feifeng Zheng

We consider algorithms to schedule packets with values and deadlines in a size-bounded buffer. At any time, the buffer can store at most B packets. Packets arrive over time. Each packet has a non-negative value and an integer deadline. In…

Data Structures and Algorithms · Computer Science 2010-02-01 Fei Li

In Packet Scheduling with Adversarial Jamming packets of arbitrary sizes arrive over time to be transmitted over a channel in which instantaneous jamming errors occur at times chosen by the adversary and not known to the algorithm. The…

Data Structures and Algorithms · Computer Science 2018-08-07 Martin Böhm , Łukasz Jeż , Jiří Sgall , Pavel Veselý

In the online packet scheduling problem with deadlines (PacketSchD, for short), the goal is to schedule transmissions of packets that arrive over time in a network switch and need to be sent across a link. Each packet has a deadline,…

Data Structures and Algorithms · Computer Science 2023-10-24 Pavel Veselý , Marek Chrobak , Łukasz Jeż , Jiří Sgall

We explore the machine-minimizing job scheduling problem, which has a rich history in the line of research, under an online setting. We consider systems with arbitrary job arrival times, arbitrary job deadlines, and unit job execution time.…

Data Structures and Algorithms · Computer Science 2013-09-24 Mong-Jen Kao , Jian-Jia Chen , Ignaz Rutter , Dorothea Wagner

In this paper, we consider the online version of the machine minimization problem (introduced by Chuzhoy et al., FOCS 2004), where the goal is to schedule a set of jobs with release times, deadlines, and processing lengths on a minimum…

Discrete Mathematics · Computer Science 2014-03-06 Nikhil Devanur , Konstantin Makarychev , Debmalya Panigrahi , Grigory Yaroslavtsev

We propose a new approach to competitive analysis in online scheduling by introducing the novel concept of competitive-ratio approximation schemes. Such a scheme algorithmically constructs an online algorithm with a competitive ratio…

Data Structures and Algorithms · Computer Science 2012-11-01 Elisabeth Günther , Olaf Maurer , Nicole Megow , Andreas Wiese

We consider the online resource minimization problem in which jobs with hard deadlines arrive online over time at their release dates. The task is to determine a feasible schedule on a minimum number of machines. We rigorously study this…

Data Structures and Algorithms · Computer Science 2015-12-09 Lin Chen , Nicole Megow , Kevin Schewior

In this study, we investigated several online and semi-online scheduling problems on two hierarchical machines with a common due date to maximize the total early work. For the pure online case, we designed an optimal online algorithm with a…

Data Structures and Algorithms · Computer Science 2022-09-20 Man Xiao , Xiaoqiao Liu , Weidong Li , Xin Chen , Malgorzata Sterna , Jacek Blazewicz

There is a rising interest for studying the online benchmark as an alternative of the classical offline benchmark in online stochastic settings. Ezra, Feldman, Gravin, and Tang (SODA 2023) introduced the notion of order-competitive ratio,…

Data Structures and Algorithms · Computer Science 2024-06-24 Liyan Chen , Nuozhou Sun , Zhihao Gavin Tang

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

The bounded delay buffer management problem, which was proposed by Kesselman et~al.\ (STOC 2001 and SIAM Journal on Computing 33(3), 2004), is an online problem focusing on buffer management of a switch supporting Quality of Service (QoS).…

Data Structures and Algorithms · Computer Science 2018-07-03 Koji M. Kobayashi

We consider the classical online scheduling problem P||C_{max} in which jobs are released over list and provide a nearly optimal online algorithm. More precisely, an online algorithm whose competitive ratio is at most (1+\epsilon) times…

Data Structures and Algorithms · Computer Science 2013-02-19 Lin Chen , Deshi Ye , Guochuan Zhang

We consider the following scheduling problem. There is a single machine and the jobs will arrive for completion online. Each job j is preemptive and, upon its arrival, its other characteristics are immediately revealed to the machine: the…

Data Structures and Algorithms · Computer Science 2015-09-14 Patrick Loiseau , Xiaohu Wu

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

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

This paper is motivated by the vision of more efficient packet classification mechanisms that self-optimize in a demand-aware manner. At the heart of our approach lies a self-adjusting linear list data structure, where unlike in the classic…

Data Structures and Algorithms · Computer Science 2021-10-01 Maciej Pacut , Juan Vanerio , Vamsi Addanki , Arash Pourdamghani , Gabor Retvari , Stefan Schmid

The knowledge of future partial information in the form of a lookahead to design efficient online algorithms is a theoretically-efficient and realistic approach to solving computational problems. Design and analysis of semi-online…

Data Structures and Algorithms · Computer Science 2023-06-12 Debasis Dwibedy , Rakesh Mohanty

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

We consider the optimal online packet scheduling problem in a single-user energy harvesting wireless communication system, where energy is harvested from natural renewable sources, making future energy arrivals instants and amounts random…

Information Theory · Computer Science 2012-11-22 Rahul Vaze
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