Markov Skeleton Processes And Its Applications

Markov skeleton process is a new type of stochastic process and containing many classical processes as special cases. In 1997, Prof Hou Zhenting and and his colleagues raised this kind of processes and used it to solve queueing theory problem.Queueing theory is a greatly important kind of application stochastic processes. The GI/G/1 queueing systems with N-vacation are new type of queueing modes among all the queueing systems. In this dissertation, we drew the following conclusions:Firstly, we get a sufficient condition of normality for Markov skeleton process .Secondly, we give finite dimension distribution formulae for Markov skeleton process.Thirdly, we present the equation which satisfies the transient distribution and finite dimension distribution of the length GI/G/1 queueing systems with N-vacation.Lastly, we study some modes with the theory of Markov skeleton process.