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Title: :  Analysis of a Queuing System in a National Museum using Monte Carlo simulation.
PaperId: :  20468
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 9 Issue 3 2023
DUI:    16.0415/IJARIIE-20468
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
Odongo Obwori Batholomewjomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya.
Thomas Magetojomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya.
Boniface Malenje.jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya.

Abstract

Statistics and Actuarial Science
Exponential Distribution; Forecasting; Poisson Distribution; Monte Carlo Simulation.
The research describes the visitor’s flow in a system’s model and ways in which the system is constrained by the existing counters, personnel, and equipment. Despite the fact that several predictive algorithms have been developed in an effort to reduce museum crowding. Such predictive models included Model Predictive Control, which was established by Stephen Boyd and Yang Wang aimed at controlling the queuing systems. The model was not effective since it’s slow in predicting elements in a queue. But, this study has combined simulating concepts with queuing system to generate an appropriate queuing model, simulating concepts looked into the simulating concepts which handles problems that are difficult to be solved analytically. The study found that NMK is using a single multi-server queuing system having 4 cashiers and the mean arrival rate of visitors is 2 minutes per visitor while the service rate is 3 minutes per visitor. On simulation, holding the rates of arrival constant while varying cashiers’ numbers, the study showed that with the presence of 5 cashiers the cumulative visitor waiting to receive the service have reduced such that in the presence of 6 cashiers the cumulative visitor at some durations is zero. The simulation showed that the required number of cashiers to enhance the quality of services NMK offers has to be increased from 4 to 5.

Citations

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IJARIIE Odongo Obwori Batholomew, Thomas Mageto, and Boniface Malenje.. "Analysis of a Queuing System in a National Museum using Monte Carlo simulation." International Journal Of Advance Research And Innovative Ideas In Education Volume 9 Issue 3 2023 Page 2417-2431
MLA Odongo Obwori Batholomew, Thomas Mageto, and Boniface Malenje.. "Analysis of a Queuing System in a National Museum using Monte Carlo simulation.." International Journal Of Advance Research And Innovative Ideas In Education 9.3(2023) : 2417-2431.
APA Odongo Obwori Batholomew, Thomas Mageto, & Boniface Malenje.. (2023). Analysis of a Queuing System in a National Museum using Monte Carlo simulation.. International Journal Of Advance Research And Innovative Ideas In Education, 9(3), 2417-2431.
Chicago Odongo Obwori Batholomew, Thomas Mageto, and Boniface Malenje.. "Analysis of a Queuing System in a National Museum using Monte Carlo simulation.." International Journal Of Advance Research And Innovative Ideas In Education 9, no. 3 (2023) : 2417-2431.
Oxford Odongo Obwori Batholomew, Thomas Mageto, and Boniface Malenje.. 'Analysis of a Queuing System in a National Museum using Monte Carlo simulation.', International Journal Of Advance Research And Innovative Ideas In Education, vol. 9, no. 3, 2023, p. 2417-2431. Available from IJARIIE, https://ijariie.com/AdminUploadPdf/Analysis_of_a_Queuing_System_in_a_National_Museum_using_Monte_Carlo_simulation__ijariie20468.pdf (Accessed : 01 April 2024).
Harvard Odongo Obwori Batholomew, Thomas Mageto, and Boniface Malenje.. (2023) 'Analysis of a Queuing System in a National Museum using Monte Carlo simulation.', International Journal Of Advance Research And Innovative Ideas In Education, 9(3), pp. 2417-2431IJARIIE [Online]. Available at: https://ijariie.com/AdminUploadPdf/Analysis_of_a_Queuing_System_in_a_National_Museum_using_Monte_Carlo_simulation__ijariie20468.pdf (Accessed : 01 April 2024)
IEEE Odongo Obwori Batholomew, Thomas Mageto, and Boniface Malenje., "Analysis of a Queuing System in a National Museum using Monte Carlo simulation.," International Journal Of Advance Research And Innovative Ideas In Education, vol. 9, no. 3, pp. 2417-2431, May-Jun 2023. [Online]. Available: https://ijariie.com/AdminUploadPdf/Analysis_of_a_Queuing_System_in_a_National_Museum_using_Monte_Carlo_simulation__ijariie20468.pdf [Accessed : 01 April 2024].
Turabian Odongo Obwori Batholomew, Thomas Mageto, and Boniface Malenje.. "Analysis of a Queuing System in a National Museum using Monte Carlo simulation.." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 9 number 3 (01 April 2024).
Vancouver Odongo Obwori Batholomew, Thomas Mageto, and Boniface Malenje.. Analysis of a Queuing System in a National Museum using Monte Carlo simulation.. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2023 [Cited : 01 April 2024]; 9(3) : 2417-2431. Available from: https://ijariie.com/AdminUploadPdf/Analysis_of_a_Queuing_System_in_a_National_Museum_using_Monte_Carlo_simulation__ijariie20468.pdf
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