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On The Effect of Random Variations in the Parameter of Arrival and Service Time Distributions on Various Queue Characteristics in (M/M/1): (h/FIFO) Queue System Model

by Jaideep Goel, Birjesh Sharma, P. K. Gupta
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 83 - Number 14
Year of Publication: 2013
Authors: Jaideep Goel, Birjesh Sharma, P. K. Gupta
10.5120/14519-2910

Jaideep Goel, Birjesh Sharma, P. K. Gupta . On The Effect of Random Variations in the Parameter of Arrival and Service Time Distributions on Various Queue Characteristics in (M/M/1): (h/FIFO) Queue System Model. International Journal of Computer Applications. 83, 14 ( December 2013), 37-41. DOI=10.5120/14519-2910

@article{ 10.5120/14519-2910,
author = { Jaideep Goel, Birjesh Sharma, P. K. Gupta },
title = { On The Effect of Random Variations in the Parameter of Arrival and Service Time Distributions on Various Queue Characteristics in (M/M/1): (h/FIFO) Queue System Model },
journal = { International Journal of Computer Applications },
issue_date = { December 2013 },
volume = { 83 },
number = { 14 },
month = { December },
year = { 2013 },
issn = { 0975-8887 },
pages = { 37-41 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume83/number14/14519-2910/ },
doi = { 10.5120/14519-2910 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:59:23.894352+05:30
%A Jaideep Goel
%A Birjesh Sharma
%A P. K. Gupta
%T On The Effect of Random Variations in the Parameter of Arrival and Service Time Distributions on Various Queue Characteristics in (M/M/1): (h/FIFO) Queue System Model
%J International Journal of Computer Applications
%@ 0975-8887
%V 83
%N 14
%P 37-41
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The present study deal with the development of statistical methodology for updating the basic arrival and service time distributions in respect of prior variations. These updated arrival and services time distributions provide us the modified form of traffic intensity as the ratio of updated mean service time to updated mean inter-arrival time. As such all the basic queue characteristics will be developed in the changed scenario.

References
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  3. Gupta, P. K. Jaideep Goyal and Rajesh Kumar (2009), "Posterior Analysis of the Queue Characteristics in Power Supply System Modes" Bulletin of the Allahabad Mathematical Society, Vol. 4, Part-2, 297-306.
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  9. Sharma, K. K. and Kumar, V. (1999), "Inferences on (M/M/1): ( /FIFO) Queue System" Opsearch, Vol. 36, No. 1, pp. 26-34.
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Index Terms

Computer Science
Information Sciences

Keywords

Traffic Intensity Arrival and Service Rates Prior Distribution Compound Distribution.

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