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Analysis of M/M/1/WV Queueing System with Vacation Interruption N-Policy

Author: WangZeLi
Tutor: TangYingHui
School: Sichuan Normal University
Course: Operational Research and Cybernetics
Keywords: Working Vacation N-policy Feedback Matrix geometric solution Steady-state distribution Length of stay Stochastic decomposition
CLC: O226
Type: Master's thesis
Year: 2011
Downloads: 14
Quote: 0
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Abstract


This study leave depends on the N, N-policy M/M/1 vacation queuing model (N- the strategy M/M/1/WV ) , introduced in the queuing system M/M/1 type work leave a new vacation policy - vacation depends on the N, N- strategy . On this basis , the introduction of the customer service the Bernoulli feedback service mechanism , further studies have the Bernoulli feedback mechanisms and vacation depends on N, N-policy M/M/1 working vacation queuing model . QBD processes and matrix geometric solution method , the use of the generating function and Laplace - Stieltjes transform tool , discussed the system queued indicators : 1 ) Use QBD processes and matrix geometric solution method , discussion stationary queue length distribution system , the distribution system steady captain expression . 2 ) use of the generating function and Laplace - Stieltjes transform tool to discuss the steady-state distribution of length of stay of the customer to obtain the steady-state distribution of length of stay Laplace - Stieltjes transform expression style . 3 ) discuss the the system steady captain and steady-state time of stay random breakdown structure , steady captain and steady-state random time of stay WBS expression . 4 ) , respectively, discussed the system in N = 1 and p = 1 when a special situation , and pointed out that some existing results : The results obtained by this direct push .

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