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The exhaustive service may delay the Adaptive Multistage vacation Geo ~ x/G/1 repairable queuing system

Author: YunZuo
Tutor: TangYingHui
School: University of Electronic Science and Technology
Course: Operational Research and Cybernetics
Keywords: Queuing system Repairable Vacation Discrete-time Length Distribution
CLC: O226
Type: Master's thesis
Year: 2008
Downloads: 46
Quote: 1
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Abstract


In this paper, a method of combining the theory of probability decomposition update process , a detailed study of delayed adaptive vacation discrete-time Geo ~ x/G/1 repairable queuing system with exhaustive service rules . Queuing study , the direct expression of the steady-state queue length distribution is often difficult to be obtained directly , only to take advantage of the various transformations captain distribution transform form . And , even if you can get the captain distribution transform form , it is difficult to reverse solution under these transformations form a direct expression . Thus , L transform , LS transform and z- transform an important role in the study of queuing theory , but alone they are not satisfied with the practical results . Starting from the transient nature of the research system (not first assume that the system is in equilibrium ) , the following main results obtained by the introduction of a generalized busy period of this analysis skills : 1 . Been any time the system Length Distribution Transient Solutions z- transform , and distribution of steady captain recursive expressions and probability generating function . Proved that the system meets the vacation queuing system based on probability generating function , an important feature - random decomposition characteristics . Directly deduced from the results of this paper can be indicators of some special model of queuing . 2 , the system reliability indicators , including : any time the system is in the probability of failure state , namely , the Unavailability system b . Mathematical expectation of the number of system failures in a generalized busy period , c any moment previous mathematical expectation of the number of system failures , d. generalized busy period the average time in system failure , e any time before the system failure mean time approximate expression . Based on the expression of recursive smooth captain distribution characteristics , a the smooth captain distributed numerical calculation method . Further, specific examples of numerical calculation and optimal design and optimal control strategy combined with calculation results .

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