Control F-policy for Markovian retrial queue with server breakdowns

Abstract

The present study is concerned with the control policy for the retrial queue with server breakdowns. Customers are not allowed to join if the system becomes full but still service is being provided with slower rate than that of the normal busy period. To deal with the more practical scenario, the startup time taken into account to develop Markov model. Chapman-Kolmogorov equations governing the system states have been framed to analyze the performance indices of the queueing system. To explore the effect of system descriptors on various performance indices, numerical simulation and sensitivity analysis have been conducted by taking numerical example. A cost function is also constructed to determine the optimal service rate and minimum cost. Adaptive neuro fuzzy interface system (ANFIS) has also considered to compare the numerical results obtained with neuro-fuzzy results.