2 Ieee Transactions on Robotics and Automation
نویسندگان
چکیده
| Queueing networks with fork/join mechanisms and nite-capacity buuers are of interest because they are suited to modeling and evaluating the performance of a large class of discrete event systems such as manufacturing systems (e.g., manufacturing ow lines, assembly lines, kan-ban controlled manufacturing systems). In a recent paper, Dallery, Liu and Towsley 14] considered a special class of queueing networks with fork/join mechanisms and nite-capacity buuers called Basic Fork/Join Queueing Networks with Blocking (B-FJQN/B). For this class of networks, they established duality, reversibility, symmetry and concavity properties. However, in order to be able to accurately model the various operating mechanisms (blocking, loading and unloading mechanisms) encountered in manufacturing systems , it is necessary to consider a larger class of networks that will be referred to as Fork/Join Queueing Networks with Blocking (FJQN/B). The purpose of this paper is to introduce this class of queueing networks and investigate its properties. The approach is to rst show that any FJQN/B can be equivalently represented as a B-FJQN/B and then use results derived in 14] for the underlying B-FJQN/B to establish the properties of the model under consideration. This approach is also used to compare the behavior of two models having diierent operating mechanisms. The usefulness of these results for performance evaluation and optimization of manufacturing systems is illustrated through a few examples.
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