作 者: ;
机构地区: 华南农业大学珠江学院
出 处: 《科技通报》 2016年第11期1-5,42,共6页
摘 要: 为了分析离散时间SM[K]/PH[K]/2/FCFS排队系统的年龄过程,我们选取系统中某一个顾客批的年龄作为系统的年龄,并引进一些附加变量构造一个关于年龄过程的马尔可夫链。我们将这马尔可夫链的转移矩阵写成分块矩阵进行计算,系统年龄为负数时情况最复杂。最后验证求出的矩阵确实为一个随机矩阵。 We choose the age of some batch in queuing system as the age of this system skillfully to analyse the generalized age process of SM[K]/PH[K]/2/FCFS in a discrete time. We introduce some auxiliary variables to construct a Markov chain associated with age process. We find the transition probability matrix of this Markov chain with dividing matrix to blocks. The conditions are the most complicated when the age of this system is negative. At last, we prove the matrix obtained is indeed a random matrix.