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Fork-Join program response time on multiprocessors with exchangeable join
作者姓名:WANG  Yong-cai  ZHAO  Qian-chuan  ZHENG  Da-zhong
作者单位:Center for Intelligent and Networked Systems,Department of Automation,Tsinghua University,Beijing 100084,China
基金项目:Project supported by the National Natural Science Foundation of0 China (Nos. 60274011 and 60574067), and the Program for NewCentury Excellent Talents in University (No. NCET-04-0094), China
摘    要:INTRODUCTION With the prevalence of distributed computing and parallel programming languages (Barry and Allen, 1998), performance evaluation of the parallel execu-tion systems becomes important. In this work we derive bounds and an approximation of the mean response time of a particular type parallel program: program with Fork-Join tasks and executed in multi-processor with first come first served (FCFS) policy. This kind of program is general in large-scale simu-lation and numerical …

关 键 词:FCFS  排队论  交叉连接  响应时间  多处理器
收稿时间:2005-04-02
修稿时间:9 January 2006

Fork-Join program response time on multiprocessors with exchangeable join
WANG Yong-cai ZHAO Qian-chuan ZHENG Da-zhong.Fork-Join program response time on multiprocessors with exchangeable join[J].Journal of Zhejiang University Science,2006,7(6):927-936.
Authors:Yong-cai Wang  Qian-chuan Zhao  Da-zhong Zheng
Institution:(1) Center for Intelligent and Networked Systems, Department of Automation, Tsinghua University, Beijing, 100084, China
Abstract:The Fork-Join program consisting of K parallel tasks is a useful model for a large number of computing applications. When the parallel processor has multi-channels, later tasks may finish execution earlier than their earlier tasks and may join with tasks from other programs. This phenomenon is called exchangeable join (EJ), which introduces correlation to the task’s service time. In this work, we investigate the response time of multiprocessor systems with EJ with a new approach. We analyze two aspects of this kind of systems: exchangeable join (EJ) and the capacity constraint (CC). We prove that the system response time can be effectively reduced by EJ, while the reduced amount is constrained by the capacity of the multiprocessor. An upper bound model is constructed based on this analysis and a quick estimation algorithm is proposed. The approximation formula is verified by extensive simulation results, which show that the relative error of approximation is less than 5%. Project supported by the National Natural Science Foundation of China (Nos. 60274011 and 60574067), and the Program for New Century Excellent Talents in University (No. NCET-04-0094), China
Keywords:Exchangeable join  First come first served (FCFS)  Fork-Join  Multiprocessor  Response time
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