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Article

Reliability Analysis of M/G/1 Repairable Queueing System with Multiple Adaptive Vacations and p-Entering Discipline

by
Jiang Cheng
1,2,* and
Yinghui Tang
1,*
1
School of Mathematics &Software Science, Sichuan Normal University, 610066 Chengdu, Sichuan, China
2
College of Computer Science and Technology, Southwest University for Nationalities, 610041, Chengdu, Sichuan, China
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2014, 19(2), 105-114; https://doi.org/10.3390/mca19020105
Published: 1 August 2014
Versions Notes

Abstract

This paper considers the reliability of an M/G/1 queue with multiple adaptive vacations in which the arriving customers enter the system with probability p (0＜p≤1) during vacations. Through appropriate assumptions, the model is studied by the total probability decomposition technique and the tool of Laplace transform. Some reliability indices are studied. Moreover, we give some numerical examples to observe the effect of various parameters on the reliability indices.
Keywords: reliability; multiple adaptive vacations; queue; p-entering discipline reliability; multiple adaptive vacations; queue; p-entering discipline

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MDPI and ACS Style

Cheng, J.; Tang, Y. Reliability Analysis of M/G/1 Repairable Queueing System with Multiple Adaptive Vacations and p-Entering Discipline. Math. Comput. Appl. 2014, 19, 105-114. https://doi.org/10.3390/mca19020105

AMA Style

Cheng J, Tang Y. Reliability Analysis of M/G/1 Repairable Queueing System with Multiple Adaptive Vacations and p-Entering Discipline. Mathematical and Computational Applications. 2014; 19(2):105-114. https://doi.org/10.3390/mca19020105

Chicago/Turabian Style

Cheng, Jiang, and Yinghui Tang. 2014. "Reliability Analysis of M/G/1 Repairable Queueing System with Multiple Adaptive Vacations and p-Entering Discipline" Mathematical and Computational Applications 19, no. 2: 105-114. https://doi.org/10.3390/mca19020105

APA Style

Cheng, J., & Tang, Y. (2014). Reliability Analysis of M/G/1 Repairable Queueing System with Multiple Adaptive Vacations and p-Entering Discipline. Mathematical and Computational Applications, 19(2), 105-114. https://doi.org/10.3390/mca19020105

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