In this study, the goal attainment method is implemented for the optimization of speed control hump profiles. Basic dimensions for a number of hump profile functions are optimized for single vehicles classified in five categories and for a specified distribution of these vehicles. Objective functions are selected as combinations of the longitudinal and vertical acceleration components at pre-specified points on the vehicle body. The main objective is to minimize vehicle response functions below the hump crossing speed limit and to maximize them above the speed limit. Typical characteristics of a series of two axle vehicles, described by the half car model, are used and the performances of various hump profiles are assessed.