| Issue |
RAIRO-Oper. Res.
Volume 60, Number 2, March-April 2026
|
|
|---|---|---|
| Page(s) | 809 - 829 | |
| DOI | https://doi.org/10.1051/ro/2026015 | |
| Published online | 13 April 2026 | |
Anfis-based validation of a matrix geometric approach for an M/M/1 queue with two-kind of disaster under hybrid vacation
1
Department of Mathematics and Statistics, School of Applied Sciences & Humanities, Vignan’s Foundation for Science, Technology and Research, Vadlamudi, Guntur 522213, Andhra Pradesh, India
2
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamil Nadu, India
* Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
26
December
2024
Accepted:
27
January
2026
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.
Mathematics Subject Classification: 60K25 / 68M20 / 65K10 / 60K35 / 90B22 / 03B52 / 68M20
Key words: Single server / disaster / hybrid vacation / matrix geometric approach / ANFIS / optimization
© The authors. Published by EDP Sciences, ROADEF, SMAI 2026
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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