Unreliable Server M[X]/G/1 Queue with Working Vacation and Multi-phase Repair with Delay in Verification

Jain, Madhu; Kumar, Anshul

doi:10.1007/s40819-022-01383-5

Cited by 5 publications

(1 citation statement)

References 14 publications

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“…Several investigations have explored queueing systems affected by server breaks, random failures, and subsequent repairs. These include comprehensive overviews provided by Ayyappan and Udayageetha [11], Thangaraj and Vanitha [12], Jain and Kumar [13]. A stochastic decomposition in the M/G/1 queue with generalised vacations was studied by Fuhrmann and Cooper [14].…”

Section: Introductionmentioning

confidence: 99%

Metaheuristic Cost Optimization of MX/G1,G2/ 1 Queue with Service disruption, Working breakdown, Balking, Catastrophe and Extended Server Vacation with Bernoulli Schedule

2024

Contemp. Math.

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We presented a MX /G1, G2 /1 queueing system with a Bernoulli schedule that includes service disruption, working breakdown, balking, catastrophe and extended server vacations. All customers that arrive are served by a single server, with service time determined by general distribution. As soon as the system fails, the server keeps serving the current client at a reduced rate while repairs are made. It is believed that the vacation schedule is broad. Random disruptions to the server occur, with an exponential distribution in the length of the disruption. We assume that besides a Poisson stream of positive arrivals, there is a Poisson stream of negative arrivals, which we refer to as catastrophes. Using the supplementary variable technique, the Laplace transforms of the time-dependent probability of the system state are derived. We can infer steady-state outcomes from this. The average waiting time and queue size were also obtained. An additional topic of discussion is Adaptive Neuro-Fuzzy Inference system (ANFIS). Furthermore, this work uses Particle Swarm Optimisation (PSO), Artificial Bee Colonies (ABC), and Genetic Algorithms (GA) to swiftly find the system’s optimal cost. Additionally, we examined the convergence of several graph-optimisation strategies.

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Section: Introductionmentioning

confidence: 99%

Metaheuristic Cost Optimization of MX/G1,G2/ 1 Queue with Service disruption, Working breakdown, Balking, Catastrophe and Extended Server Vacation with Bernoulli Schedule

2024

Contemp. Math.

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Non-linear Dynamical Functioning of a Time-Independent Uncertain System with Optimization

Harini,

Indhira,

Thillaigovindan

2024

Studies in Infrastructure and Control

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Meta heuristic optimization of a batch arrival retrial queue with optional re-service and M-optional vacations

Harini,

Indhira

2024

Int J Syst Assur Eng Manag

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Unreliable Server M[X]/G/1 Queue with Working Vacation and Multi-phase Repair with Delay in Verification

Cited by 5 publications

References 14 publications

Metaheuristic Cost Optimization of <i>M<sup>X</sup>/G<sub>1</sub>,G<sub>2</sub>/</i> 1 Queue with Service disruption, Working breakdown, Balking, Catastrophe and Extended Server Vacation with Bernoulli Schedule

Metaheuristic Cost Optimization of <i>M<sup>X</sup>/G<sub>1</sub>,G<sub>2</sub>/</i> 1 Queue with Service disruption, Working breakdown, Balking, Catastrophe and Extended Server Vacation with Bernoulli Schedule

Non-linear Dynamical Functioning of a Time-Independent Uncertain System with Optimization

Meta heuristic optimization of a batch arrival retrial queue with optional re-service and M-optional vacations

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