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Flexible resource allocation (FRA) strategies selectively control the transmission rates of users allowing them to specify a maximum and a minimum bandwidth requirement for the service type requested ensuring a minimum quality of service (QoS) is met. Complete, partial, and non resource sharing are the three types of resource sharing policies that can be used in systems with integrated services (voice, video and data) with different QoS and elasticities requirements. In this paper, an FRA strategy with partial resource sharing, called primary unavailable secondary minimum (PUSMin), is presented. An analytical method is developed to assess its performance in an environment where several service types (with different bandwidth and elasticities requirements) exist. Results show that PUSMin decreases the resource reassignment rate as the offered traffic increases.