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- W2017101037 abstract "This paper is concerned with a discrete-time<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mi>G</mml:mi><mml:mi>e</mml:mi><mml:mi>o</mml:mi><mml:mo>/</mml:mo><mml:mi>G</mml:mi><mml:mo>/</mml:mo><mml:mn>1</mml:mn></mml:math>retrial queueing model with<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mrow><mml:mi>J</mml:mi></mml:mrow></mml:math>vacations and two types of breakdowns. If the orbit is empty, the server takes at most<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M5><mml:mrow><mml:mi>J</mml:mi></mml:mrow></mml:math>vacations repeatedly until at least one customer appears in the orbit upon returning from a vacation. It is assumed that the server is subject to two types of different breakdowns and is sent immediately for repair. We analyze the Markov chain underlying the considered queueing system and derive the system state distribution as well as the orbit size and the system size distributions in terms of their generating functions. Then, we obtain some performance measures through the generating functions. Moreover, the stochastic decomposition property and the corresponding continuous-time queueing system are investigated. Finally, some numerical examples are provided to illustrate the effect of vacations and breakdowns on several performance measures of the system." @default.
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- W2017101037 date "2013-01-01" @default.
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- W2017101037 title "A Discrete-Time<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mi>G</mml:mi><mml:mi>e</mml:mi><mml:mi>o</mml:mi><mml:mo>/</mml:mo><mml:mi>G</mml:mi><mml:mo>/</mml:mo><mml:mn>1</mml:mn></mml:math>Retrial Queue with<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:mi>J</mml:mi></mml:mrow></mml:math>Vacations and Two Types of Breakdowns" @default.
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- W2017101037 doi "https://doi.org/10.1155/2013/834731" @default.
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