Optimum Parking Lot Design
[pic 1][pic 2][pic 3][pic 4]CAR PARKING                                                              Farmer’s FieldGroup 4Mathematical and Data Modelling Report                                                                                                                      Credits:Jessica TollidaySunjna MullickYuri Kaz KestenbergSUMMARYThe real world modeling problem given to us is about Car Parking in a farmer’s field. We were asked to find the best way to arrange parking for a given number of cars in a farmer’s field of a definite area. CONTENTS:Chapter 1Variable List………………………………………………………………………………………………………………………………………4Ideal Case…………………………………………………………………………………………………………………………………………4Aisle Width……………………………………………………………………………………………………………………………………….5Echelon Parking………………………………………………………………………………………………………………..6Disabled Parking………………………………………………………………………………………………………………….7

Aisle Layout…………………………………………………………………………………………………………………………8Amount of Cars as the Size of Car Park Varies………………………………………………………………………….9Entrances and Exits………………………………………………………………………………………………………………10Farmers Field………………………………………………………………………………………………………………………12Real World………………………………………………………………………………………………………………………….14Conclusion………………………………………………………………………………………………………………………….15References…………………………………………………………………………………………………………………………16CHAPTER 1Variable ListVariable NamesA – AreaL- Length of Card- Width of Carr- Turning Circle radiusN- Number of Parking spacesNd – Disabled car spacesWa – Aisle widthLp – Length of car parkWp– Width of car parkΘ – Angle of the parking spaceNa – Number of aisleNc – Number of car rowsAs for inputs, arbitrary values were assigned to total area (A) of 2500 square meters, maximum car width (d) of 2.2 meters, car length (l) 5.0 meters and turning radius (r) of 8 meters, while other properties acted as variables, like angle of the parking space (Θ) and number of rows. As for expected outputs, the total number of parking spaces (N), number of disabled spaces (Nd), aisle width (Wa) and are essential to support our conclusions.