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Cloud computing has emerged as a new paradigm for solving large-scale problems. To provide good performance in cloud computing, many algorithms have been investigated. However, there is a conflict between fairness in scheduling and user's priority. This paper proposed a novel algorithm PISA that both considered fairness and consumers' priority. The algorithm can schedule multiple workflows which are specified priority and the task weights are taken into account. Experimentation shows that our algorithm is able to increase the scheduling success rate significantly.