i-manager Publications

Fundamental Concepts of Queuing Theory and Their Applications

D. R. Robert Joan*

Assistant Professor, Department of M.Ed, M.E.T College of Education, Chenbagaramanputhoor, Tamilnadu, India.

Periodicity:July - September'2014
DOI : https://doi.org/10.26634/jmat.3.3.3105

Abstract

The aim of the paper is to give a collection of some important concepts of queuing theory and their applications. Queuing theory is the mathematical study of waiting lines that enables mathematical analysis of several related processes, including arriving at the queue, waiting in the queue, and being served by the Service Channels at the front of the queue. Queuing theory examines every component of waiting in line to be served, including the arrival process, service process, number of servers, number of system places and the number of customers. Also the author gives notations used for queuing models and characteristics of queuing theory. Queuing models can help in balancing the cost related to capacity planning of service system and the cost incurred due to waiting time of customers.

Keywords

Queuing Theory, Queuing Networks, Queuing Systems, Key Elements of Queuing Systems, Notations Used for Queuing Models, Queue Structure, Queuing Delay, Queuing Software.

How to Cite this Article?

Joan, D.R.R. (2014). Fundamental Concepts of Queuing Theory and Their Applications. i-manager’s Journal on Mathematics, 3(3), 1-6. https://doi.org/10.26634/jmat.3.3.3105

References

[1]. Alex, & Simmens, C. (2013). Queue Management Software. Retrieved from http://www.ctronix.com/Smartsoft.htm.

[2]. Anand, M. (2010). Queuing Theory - Operation Research. Retrieved from http://www.slideshare.net/musicoholic/ queuing-theory-5330717.

[3]. Balsamo, S., & Marin, A. (2007). Queuing Networks. School on Formal Methods, Retrieved from http://www.sti.uniurb.it/ events/sfm07pe/slides/Balsamo.pdf.

[4]. Bose, (2002). Queuing Network Classification & Basic Concepts. Retrieved from https://www.iitg.ernet.in/skbose/qbook/ Slide_Set_13.PDF.

[5]. Daniel, A. (1995). Introduction to Queuing Theory. Computer System Analysis, Retrieved from http://users.crhc.illinois. edu/nicol/ece541/slides/queuing.pdf.

[6]. Dowdy, L., Almeida, V., & Menasce, D. (2004). Performance by Design: Computer Capacity Planning By Example. 480.

[7]. Filipowicz, B., & Kwiecien, J. (2008). Queuing systems, networks models and applications. Bulletin of the polish academy of sciences, Vol.56(4), pp.379-390.

[8]. Jain, R. (2008). Queuing Network. Washington University in St. Louis, Retrieved from http://www.cse.wustl.edu/~jain/ cse567-08/ftp/k_32qn.pdf.

[9]. Kobayashi, H., & Konheim, A. (1977). Queuing Models for Computer Communications System Analysis. IEEE Transactions on communications, Vol.25(1) pp.2-28..

[10]. Singh, A. (2009). Queuing theory. Retrieved from http://www.slideshare.net/avtarsingh/queuing-theory-2129896.

[11]. SuleAlfa, A. (2010). Single Node Queuing Models. Queuing Theory for Telecommunications, Springer US, pp.105-169, ISBN: 978-1-4419-7313-9, doi: 10.1007/978-1-4419-7314-6_4.

[12]. Sundarapandian, V. (2009). Queuing Theory. Probability, Statistics and Queuing Theory, PHI Learning, ISBN 8120338448, Retrieved from http://en.wikipedia.org/wiki/Queuing_theory#cite_note-sun-1.

[13]. Sztrik, J. (2001). Finite-source queuing systems and their applications. Retrieved from http://irh.inf.unideb.hu/user/jsztrik/ research/fsqreview.pdf.

[14]. Sztrik, J. (2012). Basic Queuing Theory. University of Debrecen, Retrieved from http://irh.inf.unideb.hu/~jsztrik/education/ 16/SOR_Main_Angol.pdf.

	North Americas,UK, Middle East,Europe		India	Rest of world
	USD	EUR	INR	USD-ROW
Pdf	35	35	200	20
Online	35	35	200	15
Pdf & Online	35	35	400	25

Fundamental Concepts of Queuing Theory and Their Applications

Abstract

Keywords

How to Cite this Article?

References

If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Options for accessing this content: