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The values of the current perceptions of the car park attributes and parameters represented are based on the weighted averages of observations made during previous trips (searches). These weights represent the relative influences that recent and past observations of attribute levels have on current perceptions. This was performed using a weighted mean, which could be adjusted by a coefficient to reflect the relative weighting given to previous observations. This was represented using a function that has been used in modelling temporal relationships in route choice (Horowitz, 1984). This allowed the weights to increase or decrease exponentially from the past into the present. There still exists considerable uncertainty relating to many of the characteristics of car parks even when they have already been observed during the current search. Modelling these attribute perceptions was therefore undertaken. The perceptions of the stochastic subjective attributes of a car park (when it has already been observed on this trip but can no longer be sighted from the current location) involves many factors. It is assumed to be a function of the status of the attribute of the car park at its last sighting (on this trip), the perceptions based on the previous trip sightings (including this trip's latest observation) as well as the elapsed time from when the car park was last sighted (incorporating the time it would take to return to it). A simple linear function was used to represent this relationship [eqn (1)]. |
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