Modeling Foundations for Discrete Event Simulations

本研究探讨了离散事件模拟中不同的数学和图形格式之间的关系。目的是统一和简化离散事件模拟的这些数学关系。研究的最终目标是建立离散事件系统动力学的显式数学表示，具有类似于连续时间仿真中的微分方程所提供的一些实际用途和理论基础。这项研究的结果将使模拟的用户更容易在不同的模型表示之间移动，而不会丢失模型的关键元素。在不同模型表示之间移动的能力是仿真研究的重要贡献。其影响是易于建模，系统使用的灵活性，因为用户可以轻松地跨平台移动，更好的建模和建模工具，以及改进的分析，因为从一个模型表示的结果与在不同表示下获得的结果进行比较，目的是确定结果差异的任何原因（如果有的话）。

9322712 Schruben This research investigates the relationship between the different mathematical and graphical schemes used in representing discrete event simulation. The objective is to unify and simplify these mathematical relationships for discrete event simulation. The ultimate goal of the research is to develop explicit mathematical representation of the dynamics of a discrete event system with some practical utility and theoretical foundations similar to that provided by differential equations in continuous time simulation. The outcome of this research will make it easier for users of simulation to move between different models representations without loss of the key elements of a model. The ability to move between different model representations is a significant research contribution in simulation. The impact is ease of modeling, flexibility in system usage as users can easily move across platforms, better modeling and modeling tools, and improved analysis as the results from one model representation are compared with those obtained under a different representation with the objective of identifying any causes of discrepancies in results, if any.