Open Access
Research Article
Analysis of Various Parameters of Limited Source Queuing Model Having Single Server by Using Binomial and Uniform Distribution
*Damodhar F. ShastrakarCorresponding authordfshastrakar@yahoo.comResearch ScholarN. S. Science & Arts College BhadrawatiDist, Chandrapur, Maharashtra, IndiaView full profile → , Sharad S. Pokleysharadpokley@gmail.comAssociate ProfessorKavikulguru Institute of Technology and ScienceMathematics Department, Ramtek, Maharashtra, IndiaView full profile → , Sajid Anwarsajidanwar0616@gmail.comProfessorAnjuman College of Engineering & TechnologyMathematics Department, Nagpur, Maharashtra, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 05 Jun 2020
- Accepted:
- 21 Dec 2020
- Published Online:
- 15 Jun 2022
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- 1726037X.2022.2079266
- Pages:
- 81–90
Abstract
A limited source Queuing model having single server is considering here to discuss its various parameters. The number of arriving customers in this model is fixed. Since the arriving customers are already fixed and system is busy in serving the customers one by one, the arrival rate of next coming customer gets reduced. This reduces the further congestion. The service discipline in the model is general discipline. As the arriving customers in the system are limited, binomial distribution is used to deal with the arrival rate of customers and service rate of server. Uniform distribution is applied to the inter-arrival time and service time. By using the binomial distribution, formula is derived to find the expected waiting time of a customer in the queue. The derived formula and littles formula are then used together to study the various parameters of the Queuing model. Finally comparing the results calculated by the newly derived formulae and existing formulae.
Keywords
Subject Classifications
90B20
References
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