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

P. Manoharan; S. Pazhani Bala Murugan; A. Sobanappriya

doi:10.26713/cma.v13i3.2065

Authors

P. Manoharan Department of Mathematics, Annamalai University, Annamalainagar 608002, Tamilnadu, India https://orcid.org/0000-0003-2458-658X (unauthenticated)
S. Pazhani Bala Murugan Department of Mathematics, Annamalai University, Annamalainagar 608002, Tamilnadu, India https://orcid.org/0000-0003-2581-4388 (unauthenticated)
A. Sobanappriya Department of Mathematics, Annamalai University, Annamalainagar 608002, Tamilnadu, India https://orcid.org/0000-0001-6745-2755 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v13i3.2065

Keywords:

Markovian retrial queue, Working vacation, N-control pattern, Conditional stochastic decomposition

Abstract

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.

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