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This paper examines quality of service (QoS) guarantees for mobile users in future wireless cellular networks supporting multiple classes of traffic with focus on reducing dropped handoff connections. We achieve this by proposing a threshold-based bandwidth reservation policy. The policy gives priority to handoff calls over new calls and prioritizes between different classes of handoff calls according to their QoS constraints by reserving a maximum occupancy, i.e., a threshold, to each call class. The policy can be modeled as a multidimensional Markov chain where each dimension is represented as M/M/∞ queuing system, and therefore, a product form solution is provided. The QoS metrics - new call blocking probability, handoff call dropping probability, and probability of unsuccessful call completion - are derived. The analytical results are supported by simulation and show that the policy is able to reduce the connection-level QoS handoff call dropping probability for each class of traffic. Thus, it satisfies mobile user's needs and thus resulting in a stable performance levels during heavy load periods.