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首页> 外文会议>IASTED International Conference Applied Simulation and Modelling July 24-26, 2000, in Banff, Alberta, Canada. >Mathematical modeling of business processes
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Mathematical modeling of business processes

机译：业务流程的数学建模

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摘要

The problem of mathematical modeling of business process, in particular, involkes two main questions. First question concerns method of formalization of business process. And the second question is a choice of mathematical method for the analytical analysis of formalized business process model. The later is about how to mathematically analyze a business process model, which mathematical method is more suitable for business process model. Both questions are considered and solved in this paper. As a mathematical method, Mason's rule and W-functions along with GERT networks are considered for calculation of an average task execution time. The results of this paper are applied to a real life case study conducted with DEMO methodology (Dynamic Essential Modeling of Organizations). The results derived by using the proposed in this paper methodology create a sufficient inforamtion for developing inforamtion system for the organization under study. As for the resulting GERT network model, it is a ready simulation model that can be analyzed using any stochastic discrete simulation tools.
机译：特别是业务流程的数学建模问题涉及两个主要问题。第一个问题涉及业务流程形式化的方法。第二个问题是对形式化业务流程模型进行分析的数学方法选择。后面是关于如何对业务流程模型进行数学分析，哪种数学方法更适合业务流程模型。本文考虑并解决了这两个问题。作为一种数学方法，考虑了梅森规则和W函数以及GERT网络，以计算平均任务执行时间。本文的结果适用于使用DEMO方法（组织的动态基本建模）进行的实际案例研究。通过使用本文提出的方法得出的结果为研究组织开发信息评估系统创造了足够的信息。至于生成的GERT网络模型，它是一种现成的仿真模型，可以使用任何随机离散仿真工具进行分析。

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