论文标题
用于求解泊松方程的基质分析方法，并应用于Markov链条链的应用
Matrix-analytic methods for solving Poisson's equation with applications to Markov chains of GI/G/1-type
论文作者
论文摘要
在本文中，我们致力于开发用于求解泊松方程的基质分析方法，以解决不可减至和积极的复发时间马尔可夫链（DTMC）。将考虑两种特殊解决方案，包括偏差矩阵D和预期的添加剂型矩阵K。结果适用于Markov链的GI/G/1型和MAP/G/1队列与负面客户。还研究了连续时间马尔可夫链（CTMC）的进一步扩展。
In this paper, we are devoted to developing matrix-analytic methods for solving Poisson's equation for irreducible and positive recurrent discrete-time Markov chains (DTMCs). Two special solutions, including the deviation matrix D and the expected additive-type functional matrix K, will be considered. The results are applied to Markov chains of GI/G/1-type and MAP/G/1 queues with negative customers. Further extensions to continuous-time Markov chains (CTMCs) are also investigated.
