【摘要】 本文通过研究一类Markov过程在无穷小矩阵的参数摄动下稳态性能指标的灵敏度 ,运用无穷小矩阵的群逆、实现矩阵和势能这三个描述稳态性能指标灵敏度的等价量 ,给出了状态相关闭排队网络在参数摄动下的稳态性能指标灵敏度公式 .这些结果可直接用于排队网络的控制和优化 .更多还原

【Abstract】 Sensitivity of the steady state performance of a class of Markov processes with respect to the parameter perturbations of their infinitesimal matrices are studied. Then sensitivity formulas of the steady state performance with respect to the parameter perturbations are given in closed state dependent queueing networks. These formulas can be expressed by using any of the group inverse of the infinitesimal matrix,the realiztion matrix and the potentials. These results can be directly used in the problems of optimization and controlling of queueing networks.更多还原