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Slow working nodes, known as stragglers, can greatly reduce the speed of distributed computation. Coded matrix multiplication is a recently introduced technique that enables straggler-resistant distributed multiplication of large matrices.…

Information Theory · Computer Science 2019-07-23 Shahrzad Kiani , Nuwan Ferdinand , Stark C. Draper

We consider the following shared-resource scheduling problem: Given a set of jobs $J$, for each $j\in J$ we must schedule a job-specific processing volume of $v_j>0$. A total resource of $1$ is available at any time. Jobs have a resource…

Data Structures and Algorithms · Computer Science 2023-10-11 Christoph Damerius , Peter Kling , Florian Schneider

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

This paper considers the basic problem of scheduling jobs online with preemption to maximize the number of jobs completed by their deadline on $m$ identical machines. The main result is an $O(1)$ competitive deterministic algorithm for any…

Data Structures and Algorithms · Computer Science 2024-08-26 Benjamin Moseley , Kirk Pruhs , Clifford Stein , Rudy Zhou

Online algorithms that allow a small amount of migration or recourse have been intensively studied in the last years. They are essential in the design of competitive algorithms for dynamic problems, where objects can also depart from the…

Data Structures and Algorithms · Computer Science 2019-05-21 Sebastian Berndt , Valentin Dreismann , Kilian Grage , Klaus Jansen , Ingmar Knof

We consider the problem of minimizing the makespan on batch processing identical machines, subject to compatibility constraints, where two jobs are compatible if they can be processed simultaneously in a same batch. These constraints are…

Discrete Mathematics · Computer Science 2023-09-07 Khaoula Bouakaz , Mourad Boudhar

In this paper, we examine the problem of how to schedule the migrations and how to allocate network resources for migration when multiple VMs need to be migrated at the same time. We consider the problem in the Software-defined Network…

Networking and Internet Architecture · Computer Science 2014-12-17 Huandong Wang , Yong Li , Ying Zhang , Depeng Jin

Due to its optimality on a single machine for the problem of minimizing average flow time, Shortest-Remaining-Processing-Time (\srpt) appears to be the most natural algorithm to consider for the problem of minimizing average flow time on…

Data Structures and Algorithms · Computer Science 2010-11-10 Kyle Fox , Benjamin Moseley

We consider a problem of scheduling rigid parallel jobs on variable speed processors so as to minimize the total energy consumption. Each job is specified by its processing volume and the required number of processors. We propose new…

Data Structures and Algorithms · Computer Science 2018-11-29 Alexander Kononov , Yulia Kovalenko

Modern platforms are using accelerators in conjunction with standard processing units in order to reduce the running time of specific operations, such as matrix operations, and improve their performance. Scheduling on such hybrid platforms…

Data Structures and Algorithms · Computer Science 2020-02-11 Vincent Fagnon , Imed Kacem , Giorgio Lucarelli , Bertrand Simon

Linear programming is a powerful method in combinatorial optimization with many applications in theory and practice. For solving a linear program quickly it is desirable to have a formulation of small size for the given problem. A useful…

Data Structures and Algorithms · Computer Science 2019-02-28 Hans Raj Tiwary , Victor Verdugo , Andreas Wiese

In hierarchical reliable multicast environment, makespan is the time that is required to fully and successfully transmit a packet from the sender to all receivers. Low makespan is vital for achieving high throughput with a TCP-like window…

Networking and Internet Architecture · Computer Science 2007-05-23 Sang-Seon Byun , Chuck Yoo

In this paper we study a scheduling problem arising from executing numerical simulations on HPC architectures. With a constant number of parallel machines, the objective is to minimize the makespan under memory constraints for the machines.…

Data Structures and Algorithms · Computer Science 2022-02-18 Eric Angel , Sébastien Morais , Damien Regnault

Consider the problem in which n jobs that are classified into k types are to be scheduled on m identical machines without preemption. A machine requires a proper setup taking s time units before processing jobs of a given type. The…

Data Structures and Algorithms · Computer Science 2015-04-28 Alexander Mäcker , Manuel Malatyali , Friedhelm Meyer auf der Heide , Sören Riechers

We study the Min-Weighted Sum Bin Packing problem, a variant of the classical Bin Packing problem in which items have a weight, and each item induces a cost equal to its weight multiplied by the index of the bin in which it is packed. This…

Data Structures and Algorithms · Computer Science 2023-04-06 Guillaume Sagnol

In this work, the online printing shop scheduling problem is considered. This challenging real problem, that appears in the nowadays printing industry, can be seen as a flexible job shop scheduling problem with sequence flexibility in which…

Optimization and Control · Mathematics 2022-02-22 Willian T. Lunardi , Ernesto G. Birgin , Philippe Laborie , Débora P. Ronconi , Holger Voos

In malleable job scheduling, jobs can be executed simultaneously on multiple machines with the processing time depending on the number of allocated machines. In this setting, jobs are required to be executed non-preemptively and in unison,…

Data Structures and Algorithms · Computer Science 2020-04-08 Dimitris Fotakis , Jannik Matuschke , Orestis Papadigenopoulos

We introduce a parallel machine scheduling problem in which the processing times of jobs are not given in advance but are determined by a system of linear constraints. The objective is to minimize the makespan, i.e., the maximum job…

Data Structures and Algorithms · Computer Science 2015-10-30 Kameng Nip , Zhenbo Wang , Zizhuo Wang

This paper considers a traditional problem of resource allocation, scheduling jobs on machines. One such recent application is cloud computing, where jobs arrive in an online fashion with capacity requirements and need to be immediately…

Data Structures and Algorithms · Computer Science 2017-05-29 Maxime C. Cohen , Philipp W. Keller , Vahab Mirrokni , Morteza Zadimoghaddam

We consider a distributed computing network consisting of a master and multiple workers processing tasks of different types. The master is running multiple applications. Each application stochastically generates real-time jobs with a strict…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-31 Yu-Pin Hsu , Yu-Chih Huang , Shin-Lin Shieh