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Control Chart for Waiting Time in System of (M / M / 1) :( h / FCFS) Queuing Model

by T. Poongodi, S. Muthulakshmi
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 63 - Number 3
Year of Publication: 2013
Authors: T. Poongodi, S. Muthulakshmi
10.5120/10443-5131

T. Poongodi, S. Muthulakshmi . Control Chart for Waiting Time in System of (M / M / 1) :( h / FCFS) Queuing Model. International Journal of Computer Applications. 63, 3 ( February 2013), 1-6. DOI=10.5120/10443-5131

@article{ 10.5120/10443-5131,
author = { T. Poongodi, S. Muthulakshmi },
title = { Control Chart for Waiting Time in System of (M / M / 1) :( h / FCFS) Queuing Model },
journal = { International Journal of Computer Applications },
issue_date = { February 2013 },
volume = { 63 },
number = { 3 },
month = { February },
year = { 2013 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume63/number3/10443-5131/ },
doi = { 10.5120/10443-5131 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:13:09.616020+05:30
%A T. Poongodi
%A S. Muthulakshmi
%T Control Chart for Waiting Time in System of (M / M / 1) :( h / FCFS) Queuing Model
%J International Journal of Computer Applications
%@ 0975-8887
%V 63
%N 3
%P 1-6
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Queue is a very volatile situation which always cause unnecessary delay and reduce the service effectiveness of establishments or service industries. Long queues may create negative effects like wasting of man power, unnecessary congestion which leads to suffocation; even develop complications to customers and also to the establishments. This necessitates the study of waiting time of the customers and the facility. Control chart technique may be applied to analyze the waiting time of the customers in the system to improve the services and the effective performance of concerns. Control chart constructed for random variable W, the time spent in the system, provides the control limits for W. The prior idea about the expected waiting time, maximum waiting time and minimum waiting time from the parameters of the constructed chart makes effective use of time and guarantees customer's satisfaction. Keeping this in view, the construction of control charts for waiting time is proposed for M /M /1queueing model.

References
  1. Kanti swarup, Gupta, P. K. and Man Mohan (2011), Operations Research, Sultan Chand and sons, New Delhi.
  2. Montgomery, D. C. (2010), Introduction to Statistical Quality control, 4th edition, John Wiley and sons.
  3. Shore,H. (2000), General control charts for attributes, IIE transactions, 32: 1149-1160.
  4. Khaparde,M. V. and Dhabe, S. D. (2010),Control chart for random queue length N for (M/M/1):(?/FCFS) queueing model, International Journal of Agricultural and Statistical sciences, Vol. 1:319-334.
  5. Gross, D. and Harris, C. M. (1998), Fundamentals of queueing theory, 3rd edition, John Wiley and sons.
Index Terms

Computer Science
Information Sciences

Keywords

Waiting time Control limits Poisson arrival and Exponential service

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