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

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Title: Anfis-based validation of a matrix geometric approach for an M/M/1 queue with two-kind of disaster under hybrid vacation.
Authors: Divya, K.1 (AUTHOR) divyak.maths@gmail.com, Indhira, K.2 (AUTHOR)
Source: RAIRO: Operations Research (2804-7303). Mar/Apr2026, Vol. 60 Issue 2, p809-829. 21p.
Subjects: Queuing theory, Matrix analytic methods, Particle swarm optimization, Bees algorithm, Model validation, Distribution (Probability theory)
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. [ABSTRACT FROM AUTHOR]
Copyright of RAIRO: Operations Research (2804-7303) is the property of EDP Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 193984848
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  Data: Anfis-based validation of a matrix geometric approach for an M/M/1 queue with two-kind of disaster under hybrid vacation.
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  Data: <searchLink fieldCode="AR" term="%22Divya%2C+K%2E%22">Divya, K.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> divyak.maths@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Indhira%2C+K%2E%22">Indhira, K.</searchLink><relatesTo>2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22RAIRO%3A+Operations+Research+%282804-7303%29%22">RAIRO: Operations Research (2804-7303)</searchLink>. Mar/Apr2026, Vol. 60 Issue 2, p809-829. 21p.
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  Data: <searchLink fieldCode="DE" term="%22Queuing+theory%22">Queuing theory</searchLink><br /><searchLink fieldCode="DE" term="%22Matrix+analytic+methods%22">Matrix analytic methods</searchLink><br /><searchLink fieldCode="DE" term="%22Particle+swarm+optimization%22">Particle swarm optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Bees+algorithm%22">Bees algorithm</searchLink><br /><searchLink fieldCode="DE" term="%22Model+validation%22">Model validation</searchLink><br /><searchLink fieldCode="DE" term="%22Distribution+%28Probability+theory%29%22">Distribution (Probability theory)</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of RAIRO: Operations Research (2804-7303) is the property of EDP Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1051/ro/2026015
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 21
        StartPage: 809
    Subjects:
      – SubjectFull: Queuing theory
        Type: general
      – SubjectFull: Matrix analytic methods
        Type: general
      – SubjectFull: Particle swarm optimization
        Type: general
      – SubjectFull: Bees algorithm
        Type: general
      – SubjectFull: Model validation
        Type: general
      – SubjectFull: Distribution (Probability theory)
        Type: general
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      – TitleFull: Anfis-based validation of a matrix geometric approach for an M/M/1 queue with two-kind of disaster under hybrid vacation.
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            NameFull: Divya, K.
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              M: 03
              Text: Mar/Apr2026
              Type: published
              Y: 2026
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            – TitleFull: RAIRO: Operations Research (2804-7303)
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