一类M／M／1／N排队系统瞬态解的幂级数形式*

摘要

研究了初始队长为空的M/M/1/N排队系统，利用递归方法，获得了该系统幂级数形式的瞬态解，并由系数满足的迭代递归关系，得到了系数的确定方法，最后分析了瞬态解的可靠性和计算复杂性。%his paper studies empty M/M/1/N queue system,and a simple power series form is obtained for the transient state probabilities of system.The coefficients in the power series satisfy iterative recurrence relations,which enables fast and accurate numerical computations.The reliability and complexity of transi-ent probability function have been discussed at last.