  The Quality-and-Efficiency-Driven (QED) regime provides a basis for solving
asymptotic dimensioning problems that trade off revenue, costs and service
quality. We derive bounds for the optimality gaps that capture the differences
between the true optimum and the asymptotic optimum based on the QED
approximations. Our bounds generalize earlier results for classical many-server
systems. We also apply our bounds to a many-server system with threshold
control.
