What question did this study set out to answer?

The aim is to validate the matrix-geometric approach for an M/M/1 queue with two disaster types and hybrid vacation.

February 2, 20260 citations

Anfis-based validation of a matrix geometric approach for an M/M/1 queue with two-kind of disaster under hybrid vacation

Key Points

The aim is to validate the matrix-geometric approach for an M/M/1 queue with two disaster types and hybrid vacation.
Examined an M/M/1 queueing system experiencing two types of disasters.
Implemented a hybrid vacation policy for system analysis.
Calculated stability and stationary probability distributions.
Used ANFIS methodology for steady-state consistency checks.
Optimized a non-linear cost function with particle swarm and artificial bee colony techniques.
Stability prerequisites and stationary distributions were effectively calculated using the matrix-geometric method.
The performance metrics reflect significant influences from system parameters and disaster types.
The ANFIS verification indicated strong consistency in steady-state outcomes.
Optimized cost function demonstrated improved operational efficiency through the applied techniques.

Abstract

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.

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