1 Department of Science and Humanities, Sri Krishna College of Engineering and Technology, Coimbatore, Tamil Nadu – 641008, India.
2 Department of Mathematics, Sri Krishna Adithya College of Arts and Science, Coimbatore, Tamil Nadu – 641042.
International Journal of Science and Research Archive, 2025, 15(01), 391-399
Article DOI: 10.30574/ijsra.2025.15.1.1014
Received on 26 February 2025; revised on 06 April 2025; accepted on 08 April 2025
The study addresses the problem of cost optimization in an M/M/1 queueing system by incorporating fuzzy logic to manage uncertainties in system parameters. By modeling imprecise inputs such as arrival rate, service rate and cost factors as fuzzy numbers, the research aims to develop a more realistic and flexible approach to minimizing the total operating cost of the system. In order to deliver more realistic findings for the model under discussion than crisp results, we want to create the total cost function and further compute the total optimal cost of the system in a fuzzy environment. Lastly, the model's numerical and graphical analysis has been done for trapezoidal numbers.
M/M/1 Queue; Fuzzified optimization; Optimal total cost; Fuzzified Optimal total cost; Crisp model; Fuzzy model
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S. Pradeep and S. Palaniammal. A trapezoidal approach to cost optimization in M/M/1 queueing systems. International Journal of Science and Research Archive, 2025, 15(01), 391-399. Article DOI: https://doi.org/10.30574/ijsra.2025.15.1.1014.
Copyright © 2025 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution Liscense 4.0
