A probabilistic analysis of two university parking issues

The uncertain nature of the demand for university parking has now created a major problem for university planners. From a facilities planning perspective, it is important to comprehend the probabilistic nature of the demand for parking and parking rules violations. Given this background, in our note, we shed light on two insufficiently studied issues concerning university parking. First, we focus on short-term and long-term parkers. We determine the mean parking time of an arriving car and then we compute the probability distribution function of the number of occupied parking spots at any particular time. Second, we concentrate on parking rules violators and we calculate the probability distribution function of the number of violators who are fined at an inspection.