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Abstract : |
Abstract: In multi-media systems, we have a number of di erent resources being used exclusively and simultaneously to satisfy the requirements of an arriving customer. We consider two classes of resources and a Poisson-stream of customers. Each customer needs one resource from both classes at the beginning of its treatment. Both resources are released independently from each other after a negative exponentially distributed amount of time where the release-rate can be class- as well as state-dependent. Therefore, the resources of both classes are occupied synchronously but released asynchronously. For the resulting queueing model no product form solution can be obtained. By the application of a dimension-reduction algorithm, we derive the state-probabilities and related performance measures by solving a two-dimensional Markov chain. Numerical examples show that the performance of the queueing system depends mainly on the di erent number of resources in each class. All numerical results have been validated by simulation. At last, we brie y take a look at the case that the resources are occupied and released synchronously. 1, |
