COMPARISON OF SINGLE SERVER RETRIAL QUEUING PERFORMANCE USING FUZZY QUEUING MODEL AND INTUITIONISTIC FUZZY QUEUING MODEL WITH INFINITE CAPACITY.

A single server retrial fuzzy queuing model is presented in this study. An unreliable FM/FM/1 fuzzy retrial queue with a virtually unlimited retrial orbit and a standard queue is investigated. After an unspecified amount of time has elapsed and the server is workable and inactive, orbit patrons don't rejoin the regular queue, but instead, enter the server momentarily. Customers who arrive and discover the server is engaged or has struggled are placed in the regular queue, whereas customers who are disrupted are always placed in orbit. The model's prosecution proportions are also calculated in a hazy environment. The main goal of this investigation is to compare the efficacy of a single server retrial queuing system based on fuzzy queuing theory and intuitionistic fuzzy queuing theory. The arrival, service, failure, orbit, and repair rates are documented using triangular and triangular intuitionistic fuzzy numbers. The evaluation metrics for the fuzzy queuing theory model are proffered as a range of possible values, whereas the intuitionistic fuzzy queuing theory model encompasses a wide range of values. An approach is conducted to discover quality measures using a design protocol in which the fuzzy values are left alone and not repurposed to crisp values, allowing us to draw research findings in an ambiguous future. Two numerical problems are solved to emphasize the method's protracted survivability. [ABSTRACT FROM AUTHOR]