Using queuing theory to solve the problem of momentum to issuing the driving licenses in Dohuk city
Queuing theory is a mathematical study of so-called queues or waiting lines. This phenomenon is common in daily life as in gas stations, airports, repair workshops and other common everyday examples. Waiting occurs when service demand is higher than service system power. Due to the difficulty in predicting the number of customers arriving and the time taken by the customer at the service station, the process of obtaining performance metrics is necessary before the queuing systems are implemented. When the service system power is too high, the system is charged at a high cost. Conversely, when the system power is low (insufficient for the customer service), the waiting time in the queue increases, As well as loss of order to its customers. Therefore, attention has been drawn to the so-called theory of waiting lines to solve such problems to reach a balance in the work of the system.
This research aims to overcome the difficulties experienced by citizens in obtaining market holidays on time and reduce waste in time and the cost of waiting.
The results were as shown in tables (l) to (6) of the city center and according to the distribution of access and service of the model used (G / G / C). We note in the Poisson distribution with exponential that the average number of customers in the system Ls = 5.527), which is approximately (5 customers), which is waiting in the system. We note in the previous distribution itself that the average number of customers in the waiting queue (customer 2.1924 = L q) is approximately 2 (customer) which is waiting in queue. The Poisson distribution with the exponential is that the average time spent by the customer in the system (minute W s = 16.5772). Note in the Poisson distribution with the exponential that the average time spent by the customer in the waiting queue is (minute W = 6.5772) We note in the Poisson distribution with exponential that The average number of customers in the system (customer Ls = 4.3258) is about (4 customers) which is waiting in the system. We see in the previous distribution itself that the average number of customers in the queue (customer 2.0 = L q) ) There is no waiting in the queue. The Poisson distribution with exponential is the average time spent by the customer in the system (min W s = 11.3333). We note in the Poisson distribution with exponential that the average time spent by the customer in the waiting queue is (min W q = 4.6666)
2. Dakheel, F. I (1990),"A decision Support system for Single stage Markovian Queuing system " , Ph. D.thesis, University of Brad Ford; UK.
3. Dridi, Dreams. The role of using queuing models in improving the quality of health services. (2013/2014). Mohammed Khader University. Democratic People 's Republic of Algeria.
4. Evans, James R. (1992)"Applied production and operations Management ", 4th edition,west publishing company; USA.
5. Government, Rajab Abdullah and Asbakia / Mansour Ramadan (2004) "Applications of queues at the Marine Services Center". Http: // www. Culturecarner / nreory.uk
6. Hiller, Frederick S.& Lieberman Gerald J., (2001), "Introduction to operations Research", 7th edition, McGraw- Hill Inc. USA.
7. Samuel A.E& Venkatachalathy M.,(2014) , " improving izpm for Unbalanced fuzzy transportation problems " Intermtional journal of pure and applied Mathematics ,vol 94, no 3,p.p :419.
8. Taha, Hamdy A. (1997) "Operations Research: an Introduction", 6th edition, Prentice – Hall. Inc. New Jersey, USA.
9. Taha H.A,(2007) ,"Operations .Resarch An Introdution" , 8th , prantice Hall of India private Limited , New delhi.
10. Zalka, Zakaria Mohammed Deeb (2006) "Models of the waiting queues and their uses in the transport traffic at Damascus International Airport / Master Thesis in the Department of Statistics / Faculty of Management and Economics / University of Baghdad -
How to Cite
Authors retain copyright
The use of a Creative Commons License enables authors/editors to retain copyright to their work. Publications can be reused and redistributed as long as the original author is correctly attributed.
- The researcher(s), whether a single or joint research paper, must sell and transfer to the publisher (the Academic Journal of Nawroz University) through all the duration of the publication which starts from the date of entering this Agreement into force, the exclusive rights of the research paper/article. These rights include the translation, reuse of papers/articles, transmit or distribute, or use the material or parts(s) contained therein to be published in scientific, academic, technical, professional journals or any other periodicals including any other works derived from them, all over the world, in English and Arabic, whether in print or in electronic edition of such journals and periodicals in all types of media or formats now or that may exist in the future. Rights also include giving license (or granting permission) to a third party to use the materials and any other works derived from them and publish them in such journals and periodicals all over the world. Transfer right under this Agreement includes the right to modify such materials to be used with computer systems and software, or to reproduce or publish it in e-formats and also to incorporate them into retrieval systems.
- Reproduction, reference, transmission, distribution or any other use of the content, or any parts of the subjects included in that content in any manner permitted by this Agreement, must be accompanied by mentioning the source which is (the Academic Journal of Nawroz University) and the publisher in addition to the title of the article, the name of the author (or co-authors), journal’s name, volume or issue, publisher's copyright, and publication year.
- The Academic Journal of Nawroz University reserves all rights to publish research papers/articles issued under a “Creative Commons License (CC BY-NC-ND 4.0) which permits unrestricted use, distribution, and reproduction of the paper/article by any means, provided that the original work is correctly cited.
- Reservation of Rights
The researcher(s) preserves all intellectual property rights (except for the one transferred to the publisher under this Agreement).
- Researcher’s guarantee
The researcher(s) hereby guarantees that the content of the paper/article is original. It has been submitted only to the Academic Journal of Nawroz University and has not been previously published by any other party.
In the event that the paper/article is written jointly with other researchers, the researcher guarantees that he/she has informed the other co-authors about the terms of this agreement, as well as obtaining their signature or written permission to sign on their behalf.
The author further guarantees:
- The research paper/article does not contain any defamatory statements or illegal comments.
- The research paper/article does not violate other's rights (including but not limited to copyright, patent, and trademark rights).
This research paper/article does not contain any facts or instructions that could cause damages or harm to others, and publishing it does not lead to disclosure of any confidential information.