Performance analysis of large-scale parallel-distributed  processing with backup tasks for cloud computing

Tsuguhito Hirai; Hiroyuki Masuyama; Shoji Kasahara; Yutaka Takahashi

doi:10.3934/jimo.2014.10.113

Article Contents

2014, Volume 10, Issue 1: 113-129. Doi: 10.3934/jimo.2014.10.113

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Performance analysis of large-scale parallel-distributed processing with backup tasks for cloud computing

1.
Graduate School of Informatics, Kyoto University, Yoshida-Hommachi, Sakyo-ku, Kyoto 606-8501
2.
Graduate School of Informatics, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto 606-8501
3.
Graduate School of Information Science, Nara Institute of Science and Technology, 8916-5 Takayama, Ikoma, Nara 630-0192

Received: August 31, 2012

Revised: May 31, 2013

Published: December 2013

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Abstract

In cloud computing, a large-scale parallel-distributed processing service is provided where a huge task is split into a number of subtasks and those subtasks are processed on a cluster of machines called workers. In such a processing service, a worker which takes a long time for processing a subtask makes the response time long (the issue of stragglers). One of efficient methods to alleviate this issue is to execute the same subtask by another worker in preparation for the slow worker (backup tasks). In this paper, we consider the efficiency of backup tasks. We model the task-scheduling server as a single-server queue, in which the server consists of a number of workers. When a task enters the server, the task is split into subtasks, and each subtask is served by its own worker and an alternative distinct worker. In this processing, we explicitly derive task processing time distributions for the two cases that the subtask processing time of a worker obeys Weibull or Pareto distribution. We compare the mean response time and the total processing time under backup-task scheduling with those under normal scheduling. Numerical examples show that the efficiency of backup-task scheduling significantly depends on workers' processing time distribution.

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Mathematics Subject Classification: Primary: 60K25, 60J10; Secondary: 68M20.

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