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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 . 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.