Anfis-based validation of a matrix geometric approach for an

This study examines a queueing system of M/M/1 type that is subject to two types of disasters while implementing a hybrid vacation policy. The matrix-geometric approach is utilized to calculate the stability prerequisite and stationary probability distribution of the system size. An analysis is conducted utilizing an illustration to examine the impact of system parameters on performance metrics. The ANFIS methodology has been utilized to verify the consistency of the steady-state outcomes. Additionally, a non-linear cost function has been developed and subsequently optimized through the utilization of particle swarm optimization and artificial bee colony optimization techniques.