Holistic Analysis or Real-Time Systems (HoRT)

这个项目考虑了由于使用不同的数学函数来描述事故率或事件密度而导致的数学缺陷。为此，从物理和信号理论出发，推导了基于数学方法的整体事件密度函数，证明了新的整体事件密度可以统一地进行负载分析和响应时间分析所需的不同干扰计算。该方法还可以在频域进行实时验证(傅立叶分析)，对于事故率可变的任务系统，可以大大降低实时分析的复杂度。从借助针脉冲(狄拉克脉冲)对不同的事件和计算时间密度进行建模的想法开始，将表明可以为所有分析方法制定统一的事件密度，并简化这种已知的分析。特别是，这适用于具有可变的、频率相关的事件速率(可变速率行为，VRB)的任务系统的分析。此外，正在努力简化分层事件流的密度函数，并将新的事件函数或曲线整合到实时演算中。

The mathematical imperfections resulting from the use of different mathematical functions to describe event rates or event densities are considered in this project. For this purpose, a holistic holistic event density function based on mathematical methods is derived from physics and signal theory.It is to be shown that with the new holistic event density the different interference calculations necessary for the load analysis and the response time analysis can be carried out uniformly. Thanks to the novel approach, real-time verification can also be carried out in the frequency domain (Fourier analysis).For task systems with variable event rates, the complexity of the real-time analysis should be drastically reduced. Starting from the idea of modeling the different events and computation time densities with the help of needle pulses (Dirac pulses), it is to be shown that it is possible to formulate a uniform event density for all analysis methods and to simplify such known analyzes. In particular, this applies to the analysis of task systems with variable, frequency-dependent event rates (variable rate behavior, vrb). In addition, efforts are being made to simplify the density function of the hierarchical event streams and to integrate the new event functions or curves into the real-time calculus.