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