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The paper is focused on an optical network in which the network operator needs to achieve differentiated connection blocking probability between different classes of lightpath requests. We propose and investigate several routing strategies, which may be used for that purpose, i.e., to maintain the blocking probability of the high priority requests below an assumed value in a broad range of network loads. Simulation results show that all proposed strategies achieve the stated goal, but their performance varies considerably. The paper presents differences in performance of individual strategies.