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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

A multiple server setting is considered, where each server has tunable speed, and increasing the speed incurs an energy cost. Jobs arrive to a single queue, and each job has two types of sub-tasks, map and reduce, and a {\bf precedence}…

Data Structures and Algorithms · Computer Science 2021-05-20 Rahul Vaze , Jayakrishnan Nair

Speed scaling for a tandem server setting is considered, where there is a series of servers, and each job has to be processed by each of the servers in sequence. Servers have a variable speed, their power consumption being a convex…

Data Structures and Algorithms · Computer Science 2019-07-11 Rahul Vaze , Jayakrishnan Nair

The problem of online scheduling of multi-server jobs is considered, where there are a total of $K$ servers, and each job requires concurrent service from multiple servers for it to be processed. Each job on its arrival reveals its…

Data Structures and Algorithms · Computer Science 2024-07-02 Rahul Vaze

We study the problem of scheduling a set of jobs with release dates, deadlines and processing requirements (or works), on parallel speed-scaled processors so as to minimize the total energy consumption. We consider that both preemption and…

Data Structures and Algorithms · Computer Science 2011-07-13 Eric Angel , Evripidis Bampis , Fadi Kacem , Dimitrios Letsios

We consider the problem of scheduling multiprocessor jobs to minimize the total completion time under the given energy budget. Each multiprocessor job requires more than one processor at the same moment of time. Processors may operate at…

Optimization and Control · Mathematics 2021-07-22 Alexander Kononov , Yulia Kovalenko

When parallelizing a set of jobs across many servers, one must balance a trade-off between granting priority to short jobs and maintaining the overall efficiency of the system. When the goal is to minimize the mean flow time of a set of…

Performance · Computer Science 2020-11-24 Benjamin Berg , Rein Vesilo , Mor Harchol-Balter

We consider the problem of scheduling on a single processor a given set of n jobs. Each job j has a workload w_j and a release time r_j. The processor can vary its speed and hibernate to reduce energy consumption. In a schedule minimizing…

Data Structures and Algorithms · Computer Science 2012-10-23 Evripidis Bampis , Christoph Dürr , Fadi Kacem , Ioannis Milis

A large proportion of jobs submitted to modern computing clusters and data centers are parallelizable and capable of running on a flexible number of computing cores or servers. Although allocating more servers to such a job results in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-17 Samira Ghanbarian , Arpan Mukhopadhyay , Ravi R. Mazumdar , Fabrice M. Guillemin

In this paper, we study systems where each job or request can be split into a flexible number of sub-jobs up to a maximum limit. The number of sub-jobs a job is split into depends on the number of available servers found upon its arrival.…

Probability · Mathematics 2023-09-04 Samira Ghanbarian , Arpan Mukhopadhyay , Fabrice M. Guillemin , Ravi R. Mazumdar

Modern computing workloads are often composed of parallelizable jobs. A parallelizable job can be completed more quickly when run on additional servers. However, each job can only use a limited number of servers, known as its…

Performance · Computer Science 2025-12-30 Benjamin Berg , Benjamin Moseley , Weina Wang , Mor Harchol-Balter

A speed scaling problem is considered, where time is divided into slots, and jobs with payoff $v$ arrive at the beginning of the slot with associated deadlines $d$. Each job takes one slot to be processed, and multiple jobs can be processed…

Data Structures and Algorithms · Computer Science 2017-11-15 Goonwanth Reddy , Rahul Vaze

Can the popular shortest remaining processing time (SRPT) algorithm achieve a constant competitive ratio on multiple servers when server speeds are adjustable (speed scaling) with respect to the flow time plus energy consumption metric?…

Performance · Computer Science 2020-05-06 Rahul Vaze , Jayakrishnan Nair

Modern data centers serve workloads which are capable of exploiting parallelism. When a job parallelizes across multiple servers it will complete more quickly, but jobs receive diminishing returns from being allocated additional servers.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-20 Benjamin Berg , Rein Vesilo , Mor Harchol-Balter

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

We consider the online busy time scheduling problem motivated by energy and cost minimization in cloud computing systems. The input is a set of jobs $J=\{1,\dots,n\}$ where each job $j\in J$ has a release time $r_j$, deadline $d_j$, and…

Data Structures and Algorithms · Computer Science 2025-10-20 Susanne Albers , G. Wessel van der Heijden

We consider offline scheduling algorithms that incorporate speed scaling to address the bicriteria problem of minimizing energy consumption and a scheduling metric. For makespan, we give linear-time algorithms to compute all non-dominated…

Data Structures and Algorithms · Computer Science 2007-05-23 David P. Bunde

Motivated by modern parallel computing applications, we consider the problem of scheduling parallel-task jobs with heterogeneous resource requirements in a cluster of machines. Each job consists of a set of tasks that can be processed in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-03 Mehrnoosh Shafiee , Javad Ghaderi

Multi-server jobs are imperative in modern cloud computing systems. A noteworthy feature of multi-server jobs is that, they usually request multiple computing devices simultaneously for their execution. How to schedule multi-server jobs…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-18 Hailiang Zhao , Shuiguang Deng , Feiyi Chen , Jianwei Yin , Schahram Dustdar , Albert Y. Zomaya

Multiserver jobs, which are jobs that occupy multiple servers simultaneously during service, are prevalent in today's computing clusters. But little is known about the delay performance of systems with multiserver jobs. We consider queueing…

Performance · Computer Science 2023-04-17 Yige Hong , Weina Wang
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