Title of article :
RELIABILITY ANALYSIS OF M/G/1 REPAIRABLE QUEUEING SYSTEM WITH MULTIPLE ADAPTIVE VACATIONS AND p-ENTERING DISCIPLINE
Author/Authors :
Cheng, Jiang Sichuan Normal University - School of Mathematics Software Science, China , Cheng, Jiang , Southwest University for Nationalities - College of Computer Science and Technology, China , Tang, Yinghui Sichuan Normal University - School of Mathematics Software Science, China
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
Journal title :
mathematical and computational applications
Journal title :
mathematical and computational applications
