Research Initiation Award: Maclaurin Series Analysis of Discrete Even Dynamic Systems

这个研究项目的目标是开发一种新的 建模、分析和设计方法 随机离散事件动态系统（DEDS）。 所提出的方法是基于获得 麦克劳林系列的性能指标作为一个 决定参数的函数。 我们的目标是 (i)开发高效的递归表达式， 一类随机变量的Maclaurin系数 DEDS和（ii）研究理论和 得到的麦克劳林系列的实际意义。 该项目的成果将形成一个强大的 补充现有的随机 DEDS。 特别是，我们将开发简单的封闭式 形成绩效指标的近似值， 分析和设计的目的，以及一些 随机DEDS建模指南类似于 在经典的Bode-Nyquist方法中， 连续变量动态系统建模。

The goal of this research project is to develop a new approach for the modelling, analysis and design of stochastic discrete event dynamic systems (DEDS). The proposed approach is based on obtaining the Maclaurin series of the performance measure as a function of a decision parameter. Our objectives are (i) to develop efficient recursive expressions for the Maclaurin coefficients for a large class of stochastic DEDS and (ii) to investigate the theoretical and practical implications of the obtained Maclaurin series. The results of this project would form a powerful complement to existing methodologies for stochastic DEDS. In particular, we will develop simple closed form approximations of the performance measures for the purpose of analysis and design, as well as some stochastic DEDS modelling guidelines analogous to those in the classical Bode-Nyquist methodology for modelling continous variable dynamic systems.