Performance analysis for Bernoulli feedback queues subject to disasters: a system with batch Poisson arrivals under a multiple vacation policy

Mytalas, George C.; Zazanis, Michael A.

doi:10.1080/16843703.2022.2092954

Cited by 6 publications

(3 citation statements)

References 34 publications

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“…The system functions within a multi-layered working vacation framework formed by Rajadurai et al [18]. In 2023, George Mytalas [19] conducted a study investigating the interaction among vacations, Bernoulli feedback, and occurrences of disasters followed by subsequent repair processes.…”

Section: Literature Reviewmentioning

confidence: 99%

ANFIS-Enhanced M/M/2 Queueing Model Investigation in Heterogeneous Server Systems with Catastrophe and Restoration

2024

Contemp. Math.

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Section: Literature Reviewmentioning

confidence: 99%

ANFIS-Enhanced M/M/2 Queueing Model Investigation in Heterogeneous Server Systems with Catastrophe and Restoration

2024

Contemp. Math.

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“…Zhang and Xu [19] researched an M/M/1 queue with various working vacation periods and an N-policy. Mytalas and Zazanis [20] investigated a Markovian single-server queueing system with batch Poisson arrivals and instantaneous Bernoulli feedback that operated under a multiple-vacation policy.…”

Section: Survey Of Literaturementioning

confidence: 99%

Analysis of a Heterogeneous Queuing Model with Intermittently Obtainable Servers under a Hybrid Vacation Schedule

Kothandaraman

Kandaiyan

2023

Symmetry

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This paper investigates the concept of a Markovian queueing model with heterogeneous, intermittently available servers with feedback under a hybrid vacation policy. Both the asymmetric transition representation and the hybrid vacation policy are addressed in this article. The necessary and sufficient conditions for system stability are presented. In addition, the steady-state probability distribution of the queueing model was derived by employing the matrix geometric method. Furthermore, a few formulae were constructed to determine the model’s performance indicators. Finally, the influence of system parameters was also investigated using some numerical examples.

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“…Z. Azanis [6] studied 𝑀 /𝐺/1 queueing system with disasters and repairs under MAV policy. George C. Mytalas and Michael A. Zazanis [7] analyzed Bernoulli feedback queues subject to disasters: a system with batch Poisson arrivals under a multiple vacation policy. Jain, M., and Singh, M. [8] analyzed markov queueing model with feedback, discouragement and disaster.…”

Section: Introductionmentioning

confidence: 99%

Production analysis of manufacturing industry in a single vacation policy under disaster

2023

Math. models, eng.

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The disaster in queueing system with second optional service is considered. Arriving customer of this system will receive the essential service and optional second service if needed. When the system is interrupted by the disaster, the server initiates the repair period making all the customer leave the system immediately. The server, when idle, takes single vacation. The disaster cannot happen when server is under vacation or in repair period. The above queueing system is analysed using supplementary variable technique to obtain the probability generating function for various parameters and effects of parameters are explained graphically with numerical illustrations.

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Performance analysis for Bernoulli feedback queues subject to disasters: a system with batch Poisson arrivals under a multiple vacation policy

Cited by 6 publications

References 34 publications

ANFIS-Enhanced <i>M</i>/<i>M</i>/2 Queueing Model Investigation in Heterogeneous Server Systems with Catastrophe and Restoration

ANFIS-Enhanced <i>M</i>/<i>M</i>/2 Queueing Model Investigation in Heterogeneous Server Systems with Catastrophe and Restoration

Analysis of a Heterogeneous Queuing Model with Intermittently Obtainable Servers under a Hybrid Vacation Schedule

Production analysis of manufacturing industry in a single vacation policy under disaster

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