求数列通项的特征根法在研究排队模型主算子的特征值中的应用

The Application of the Characteristic Root Method of Finding General Term of Sequence to Research on Eigenvalues of the Operator Corresponding to the Queueing Model

研究顾客重试要求服务的M／M／1排队模型的主算子的特征值。首先简单介绍求数列通项的特征根法，然后应用此方法来证明该模型主算子在左半复平面中有不可数无穷多个特征值。

In this paper, we investigate the eigenvalues of the operator corresponding to M/M/1 queueing model with repeated demands. First simply introduce the characteristic root method of finding general term of sequence, then by using this method we prove that corresponding operator has （uncountable） infinitely many eigenvalues in the left half complex plain.