Abstract

The mean time to finish a project is studied where the rate of work varies randomly. It is proved that the mean time to finish is bounded below by the time taken to complete the project if the work is performed at a fixed average rate, specifically, at the average work rate of the corresponding unrestricted or non-exit problem. Several examples illustrate the usefulness of the result in a variety of areas including population dynamics, engineering, finance, and philosophy.

中文翻译：

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随机变化的工作率的平均完成时间

摘要

研究完成项目的平均时间，其中工作率随机变化。事实证明，如果以固定的平均速率（特别是以相应的无限制或非退出问题的平均工作速率）执行工作，则平均完成时间受完成项目所需时间的限制。几个示例说明了该结果在人口动态，工程，金融和哲学等各个领域的有用性。