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A performance index for approach and alienation that estimates driver's status such as inattentive operation from the vehicles behavior as a result of the driver's visual cognition, judgment, and operation is proposed to prevent rear-end crashes. The index is based on the hypothesis that drivers are performing approach detection with change of area of a preceding car on the retina. First, it is shown that safe driving behaviors of experimental results and micro data of traffic accidents with a rear-end collision as danger status can be distinguished using the proposed index. Then, results of basic laboratory experiments with a joystick and a LCD system show that the index reflects changes of the danger level, visual capability, and awareness of the drivers. In addition, a driver model of the deceleration behaviors in preceding-car-following situation is developed by hypothesizing that drivers determine the acceleration and deceleration behavior by the function of the proposed index.