Development of queueing models with balking and uncertain data using Fuzzy Set Theory

In this work we develop three queueing models with balking in which we incorporate an uncertain distribution of balking using Fuzzy Set Theory. For the study and analysis of the models, we take as a starting point the queueing model with balking development by Saaty from the models of Homma and Finch. In order to verify the validity of the proposed methodology, we calculate the performance measures in three queueing models with balking: the queueing model with possibilistic distribution of balking, the queueing model with distribution of balking based on triangular fuzzy number and the fuzzy queueing model with possibilistic balking and uncertain parameters. The proposed technique is suitable for the performance evaluation of queueing models with balking where the accurate data are not available and need to be approximated by fuzzy values, and it provides engineers with more useful information about the possible system behavior.