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Enter the system M/G/1 multiple vacation queuing system to reach customers in the vacation period with probability P

Author: MaoYong
Tutor: TangYingHui；ZhongShouMing
School: University of Electronic Science and Technology
Course: Operational Research and Cybernetics
Keywords: Captain Departure process Wait time Busy period Length of stay
CLC: O226
Type: Master's thesis
Year: 2000
Downloads: 175
Quote: 2
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Abstract


Vacation queuing system queuing theory queuing model . This article describes the dynamic of domestic and international research on the topic , as well as repairable queuing system , based on research on vacation during the period to reach the customers enter the system with probability p M/G/1 multiple vacation queuing system . Embedded Markov chain with the update process , made ??the following aspects : (a) the captain on the departure time , departure time captain of expression and of the generating function of the distribution system balance from go to the time to stay in the system the average number of customers L . ( B) any time t the captain , any time t captain L transform expression , as well as t → ∞ limit distribution . (C ) With regard to the length of stay, and the waiting time to obtain a the stay time D n ( t ) transform expression as well as the generating function of the waiting time distribution . ( D) on the busy period , the server busy period distribution function D (t) is obtained and the system busy period distribution function Q (t) LS transform expression . (E) on the departure process to obtain the arbitrary time t system is the probability of a busy period A i ( t ) of the LS transform a i (s) , and (O, the t ] services finished customer number M i (t) is the LS Transform m 0 < / sub > ( s ) of the expression. also obtained customer leaving the system balance the distribution of the time interval .

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