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A Tasks Allocation Model with Fuzzy Execution and Fuzzy Inter-Tasks Communication Times in a Distributed Computing System

by Harendra Kumar, M. P. Singh, Pradeep Kumar Yadav
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 72 - Number 12
Year of Publication: 2013
Authors: Harendra Kumar, M. P. Singh, Pradeep Kumar Yadav
10.5120/12546-9030

Harendra Kumar, M. P. Singh, Pradeep Kumar Yadav . A Tasks Allocation Model with Fuzzy Execution and Fuzzy Inter-Tasks Communication Times in a Distributed Computing System. International Journal of Computer Applications. 72, 12 ( June 2013), 24-31. DOI=10.5120/12546-9030

@article{ 10.5120/12546-9030,
author = { Harendra Kumar, M. P. Singh, Pradeep Kumar Yadav },
title = { A Tasks Allocation Model with Fuzzy Execution and Fuzzy Inter-Tasks Communication Times in a Distributed Computing System },
journal = { International Journal of Computer Applications },
issue_date = { June 2013 },
volume = { 72 },
number = { 12 },
month = { June },
year = { 2013 },
issn = { 0975-8887 },
pages = { 24-31 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume72/number12/12546-9030/ },
doi = { 10.5120/12546-9030 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:37:44.441925+05:30
%A Harendra Kumar
%A M. P. Singh
%A Pradeep Kumar Yadav
%T A Tasks Allocation Model with Fuzzy Execution and Fuzzy Inter-Tasks Communication Times in a Distributed Computing System
%J International Journal of Computer Applications
%@ 0975-8887
%V 72
%N 12
%P 24-31
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Distributed computing system [DCS] offer the potential for improved performance and resource sharing. To make the best use of the computational power available it is essential to assign the tasks to that processor whose characteristics are most appropriate for the execution. In this paper we have investigated a tasks allocation problem with fuzzy execution times e ?_(i,j) and fuzzy inter tasks communication times c ?_(i,j) which is more realistic and general in nature. Times e ?_(i,j) and c ?_(i,j) have been considered to be triangular and trapezoidal numbers. The fuzzy tasks allocation problem is defuzzified and converted into crisp ones using fuzzy number ranking method. A mathematical model has been developed to determine the optimal allocation of the tasks for the crisp problem that minimizes the total cost of the program. The allocation plan that minimizes the total cost for the new crisp problem also minimizes the total time for the original fuzzy tasks allocation. Numerical examples show that the model presented in this paper offers an effective tool for handling the fuzzy tasks allocation problem

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Index Terms

Computer Science
Information Sciences

Keywords

Distributed computing system Fuzzy execution times Fuzzy inter tasks communication times Triangular and trapezoidal numbers Crisp value

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