Queuing System Modeling for Supermarkets
S. Maragathasundari1, R.S. Somasundaram2, P. Karunakaran3, P. Manikandan4
1S. Maragathasundari, Department of Mathematics, Kalasalingam Academy of Research and Education, Krishnankovil (Tamil Nadu), India.
2R.S. Somasundaram, Department of Computer Applications, Coimbatore Institute of Technology,Coimbatore (Tamil Nadu), India.
3P. Karunakaran, Department of Mathematics, Kalasalingam Academy of Research and Education, Krishnankovil (Tamil Nadu), India.
4P. Manikandan, Department of Electronics and Communication Engineering, Kalasalingam Academy of Research and Education, Krishnankovil (Tamil Nadu), India.
Manuscript received on 05 December 2019 | Revised Manuscript received on 17 December 2019 | Manuscript Published on 30 December 2019 | PP: 591-597 | Volume-9 Issue-2S2 December 2019 | Retrieval Number: B10881292S219/2019©BEIESP | DOI: 10.35940/ijitee.B1088.1292S219
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Supermarkets may not have the IT needs that service-oriented businesses do, but that does not mean they cannot use computers in their day-to-day operations. Many supermarkets are adopting complex computer systems that allow them to regulate many of their practices, providing business leaders with more information to make decisions with and making some processes automatic, saving supermarkets both time and money. For the complete satisfaction of the customers, in system modeling, various queuing system is followed by the super markets. In all those queuing system, various queuing issue have to be dealt with. Among those, on of the Queuing problem is inspected and it is considered as a Non Markovian Queuing issues. For the above portrayed Queuing problem, by the usage of supplementary variable method, performance measures like number of customers in the system, average length of the queue, waiting time of the customers in the system as well as in the queue are derived. In addition, idle time of the server and the time spent by the server for each service are determined. The model is well justified by means of a Numerical portrayal and a grow graphical examination is done toward the end to favour the model.
Keywords: Performance Measures, Non Markovian Queue, Supplementary Variable Method.
Scope of the Article: Measurement & Performance Analysis