调制马氏链与两状态调制半马氏链的匹配
Matchment of a MMP with a Two-state Semi-MMP
-
摘要: 在用流体近似法研究ATM复用器的输入过程时,一般假设单个信源的控制过程为两状态马氏链。迭加后的输入过程是一个控制过程为多状态、连续时间、不可分马氏链的马氏调制过程。由于状态个数很大,不便于对缓冲器容量的研究。文中将它匹配成只有两个状态的半马氏调制过程,由于状态个数仅为两个,简化了理论分析和数值分析过程。Abstract: In general, suppose the controlling process of the single source for ATM MUX be a two-state Markov chain in the fluid mode, the superposition to the ATM MUX is a MMP whose controlling process is a muti-state, continuous, irreducible MC.It is inconvenient to study the content of the buffer because of the large number of state. To solve this problem, this paper gives a method to match the MMP with a simple two-state semi-MMP.