Measurement-Based Admission Control (MBAC) algorithms, as opposed to the more conservative worstcase parameter-based approach, are expressly designed to achieve high levels of network utilization for the controlledload service, a real-time service with very relaxed service guarantee. Most researchers studying MBAC algorithms(MBACs) have focused primarily on the design of the Admission Control Equations (ACEs) using a variety of principled and ad hoc motivations. In this paper, we prove theoretically that the ACEs, even though derived and motivated in quite different ways, are equivalent by tuning the adjustable parameters of MBACs. We also use simulations to confirm our work. The simulation results show that MBACs may have the same utilization for a given packet loss rate through tuning the relevant parameters.