Analysis of a Markovian Retrial Queue With Working Vacation Under N-Control Pattern

Analysis of a Markovian Retrial Queue With Working Vacation Under N-Control Pattern

A Markovian retrial queue with working vacation under N-control pattern is investigated in this article. To describe the system, we employ a QBD analogy. The model’s stability condition is deduced. The stationary probability distribution is generated by utilizing the matrix-analytic technique. The c...

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Veröffentlicht in:Communications in Mathematics and Applications 2022-01, Vol.13 (3), p.851-863
Hauptverfasser: Manoharan, P., Murugan, S. Pazhani Bala, Sobanappriya, A.
Format: Artikel
Sprache:eng
Schlagworte:
Customer services
Decomposition
Mathematics
Probability distribution
Queues
Vacations
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Zusammenfassung:A Markovian retrial queue with working vacation under N-control pattern is investigated in this article. To describe the system, we employ a QBD analogy. The model’s stability condition is deduced. The stationary probability distribution is generated by utilizing the matrix-analytic technique. The conditional stochastic decomposition of the line length in the orbit is calculated. The performance measures and special cases are designed. The model’s firmness is demonstrated numerically.
ISSN:0976-5905
0975-8607
DOI:10.26713/cma.v13i3.2065