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