BAYESIAN INFERENCE ANALYSIS OF RANDOM OCCURRENCE OF IDLE SERVERS OF MARKOVIAN QUEUEING MODELS

The paper focuses on the study of random occurrence of idle servers which is an imperative phenomenon connected with queueing models. Such a kind of study leads to proper utilization of servers’ working time in the system. Various analytics related to Bayesian approach to single and multi-server Markovian queueing models have been proposed to figure out and discuss in the paper. Bayesian inferential analysis has been so far attracted insufficiently by researchers engaged in this field despite being versatile, potential and appropriate method to effectively deal with uncertainty environment embedded with queueing models wherever estimation of parameters involved in probability distributions is intended. R software has been used to compute and perform the analytics of highest posterior density, credible interval and detection of random occurrence of idle server related to Bayesian inference of random occurrence of idle servers of the Markovian queueing model under study.