Ideal Arrival and Service Control Model Policy Based on Fuzzy Queuing System of Uncertainty Measure
Rohit Kumar Verma *
Department of Mathematics, Bharti Vishwavidyalaya, Durg, C.G., India.
Anuradha Swarnakar
Department of Mathematics, Bharti Vishwavidyalaya, Durg, C.G., India.
*Author to whom correspondence should be addressed.
Abstract
In this work, we investigate how to optimize costs for a single-server queuing system operating in a fuzzy, unpredictable environment. Constructing the overall optimal cost and cost function of the queuing system under uncertainty in the fuzzy paradigm is the aim of the inquiry. The fuzzy analysis is carried out to offer a more practical answer to the issues at hand, as opposed to the model's usual crisp responses. The model's crisp and fuzzy systems have different theoretical advances that have been determined, and the estimated costs are easily verifiable and comparable. Lastly, sensitivity analysis has also been carried out utilising numerical analysis to evaluate the theoretical conclusions of the model that is being studied.
Keywords: Fuzzy optimization, queuing model, cost function, sensitivity analysis, uncertainty measure