M/M/1 Retrial Queue with Working Vacation Interruption and Feedback under N-Policy | Zendy

Li Tao | Zendy; Liyuan Zhang | Zendy; Shan Gao | Zendy

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M/M/1 Retrial Queue with Working Vacation Interruption and Feedback under N-Policy

Author(s) -

Li Tao,

Liyuan Zhang,

Shan Gao

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/414739

Subject(s) - retrial queue , bernoulli's principle , queue , computer science , mathematics , queueing system , computer network , physics , thermodynamics

We consider an M/M/1 retrial queue with working vacations, vacation interruption, Bernoulli feedback, and N-policy simultaneously. During the working vacation period, customers can be served at a lower rate. Using the matrix-analytic method, we get the necessary and sufficient condition for the system to be stable. Furthermore, the stationary probability distribution and some performance measures are also derived. Moreover, we prove the conditional stochastic decomposition for the queue length in the orbit. Finally, we present some numerical examples and use the parabolic method to search the optimum value of service rate in working vacation period

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