Abstract
The Discriminatory Processor Sharing (DPS) model is a multi-class generalization of the egalitarian Processor Sharing model. In the DPS model all jobs present in the system are served simultaneously at rates controlled by a vector of weights {g k > 0; k = 1,..., K }. If there are N k jobs of class k present in the system, k = 1,..., K, each class-k job is served at rate \(g_k/\sum_{j=1}^K{g_j}{N_j}\). The present article provides an overview of the analytical results for the DPS model. In particular, we focus on response times and numbers of jobs in the system.
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This work is part of a French-Dutch Van Gogh research project funded by NWO (The Netherlands Organization for Scientific Research) and EGIDE under grant VGP 61-520. We also acknowledge the support of EuroNGI Network of Excellence. This work was done while U. Ayesta was an ERCIM Postdoc fellow at CWI.
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Altman, E., Avrachenkov, K. & Ayesta, U. A survey on discriminatory processor sharing. Queueing Syst 53, 53–63 (2006). https://doi.org/10.1007/s11134-006-7586-8
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DOI: https://doi.org/10.1007/s11134-006-7586-8