RUI: Finite Capacity Queuing Models in Manufacturing and Production Systems

9313283查克拉瓦蒂有限容量排队系统在许多实际情况下自然产生，特别是在通信、制造和生产系统中。这些排队系统的分析结果很少(大多数是在指数假设等非常严格的条件下得到的)，由于它们在实践中的广泛应用，近年来受到了极大的关注。在这项研究中，使用一种具有许多潜在应用的动态组服务规则，研究了几种有限容量排队模型。运用矩阵分析方法，对这些模型进行分析。将开发高效和稳定的算法来计算各种系统性能指标。这些算法将被交互地用于解决非传统但重要的设计问题。试图缩小运筹学和生产系统领域的理论家和实践者之间的差距，这将有利于工业。

9313283 Chakravarthy Finite capacity queuing systems arise naturally in many practical situations, notably in communications, manufacturing and production systems. These queuing systems have very few analytical results (most of which are obtained under very stringent conditions such as exponential assumptions) and have been getting a lot of attention in recent years due to their profound applications in practice. In this research using a dynamic group service rule that has a number of potential application, several finite capacity queuing models are investigated. Using matrix analytic methods, these models will be analyzed. Efficient and stable algorithms for computing various system performance measures will be developed. These algorithms are to be used interactively to solve non-traditional but significant design problems. An attempt is made to narrow the gap between theoreticians and practitioners in operations research and production system areas which will be beneficial to industry.