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The Single Queuing Systems with Negative Customer and Bernoulli Feedback

Author: ShiGuiXiang
Tutor: ZhuYiZuo
School: Jiangsu University
Course: Basic mathematics
Keywords: retrial queue feedback starting failure negative customer Phase Type Matrix-geometric solution
CLC: O226
Type: Master's thesis
Year: 2008
Downloads: 31
Quote: 0
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Abstract


The paper researches three kinds of queue model.Firstly,an M/M/1 multiple vacations with Bernoulli feedback with vacation time is Phase Type is studied.Using Matrix-geometric solution method,we get the number of customers waiting in the queue and waiting time as well as their expectation in the stable state.Secondly,an M/G/1 feedback queuing systems with negative customers under multiple vacation policy is studied. Using supplemental variables method,state transfer analyses and Laplace method,we get the generating function of queue.Finally,an M/G/1 retrial queuing system with two phases of services feedback and starting failure is studied.Using supplemental variables method,Markov chain,the steady-state distributions of the number of customers in the system and the orbit are obtained along with other performance measures.

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CLC: > Mathematical sciences and chemical > Mathematics > Operations Research > Queuing theory (random system)
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