Volume 6, Issue 5 (May 2019), Pages: 67-69

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 Technical Note

 Title: Mathematical analysis of the queuing system and application

 Author(s): Sheila A. Bishop ^1, *, Kanayo S. Eke ¹, Michael C. Agarana ^{1, 2}, Mary O. Olanrewaju ¹

 Affiliation(s):

 ¹Department of Mathematics, Covenant University, Ota, Ogun State, Nigeria
 ²Department of Mathematical Engineering Science, University of Johannesburg, Johannesburg, South Africa

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0001-5348-5265

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2019.05.011

 Abstract:

The mathematical study of waiting lines is mainly concerned with queue performance measures where several applications have been drawn in past studies. This work studies the mathematical analysis of queuing models formed from observed data of a shopping mall checkout service unit. The efficiency of the models in terms of utilization and waiting length is carried out by administering questionnaires so as to rate the system performance. The results show that the inconsistency of the arrival and service process is a major cause for needless long queues formed. 

 © 2019 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Queuing models, Analysis of queues, Sales checkout, Waiting time, Service time

 Article History: Received 25 November 2018, Received in revised form 10 March 2019, Accepted 19 March 2019

 Acknowledgement:

The authors would like to appreciate the management of Covenant University for the financial support given to them for the completion of this work. We sincerely appreciate the management of the shopping mall for allowing us to carry out this survey. 

 Compliance with ethical standards

 Conflict of interest:  The authors declare that they have no conflict of interest.

 Citation:

 Bishop SA, Eke KS, and Agarana MC et al. (2019). Mathematical analysis of the queuing system and application. International Journal of Advanced and Applied Sciences, 6(5): 67-69

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