Mathematical model of parking space unit for triangular parking area

4th International Conference on Operational Research

Syahrini, Intan^1 ; Sundari, Teti^1 ; Iskandar, Taufiq^1,2 ; Halfiani, Vera^2 ; Munzir, Said^1,2,3 ; Ramli, Marwan^1,2,3

Department of Mathematics, Syiah Kuala University, Banda Aceh

23111, Indonesia^1

Dynamic Application and Optimization Research Group, Syiah Kuala University, Banda Aceh

23111, Indonesia^2

Applied Mathematics Laboratory Syiah Kuala University, Banda Aceh

23111, Indonesia^3

关键词: Effective measures;    Equilateral triangles;    Integer Linear Programming;    Isosceles triangular;    Optimization modeling;    Parking areas;    Parking spaces;    Triangular shapes;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/300/1/012012/pdf
DOI  :  10.1088/1757-899X/300/1/012012

来源: IOP

【 摘 要 】

Parking space unit (PSU) is an effective measure for the area size of a vehicle, including the free space and the width of the door opening of the vehicle (car). This article discusses a mathematical model for parking space of vehicles in triangular shape area. An optimization model for triangular parking lot is developed. Integer Linear Programming (ILP) method is used to determine the maximum number of the PSU. The triangular parking lot is in isosceles and equilateral triangles shape and implements four possible rows and five possible angles for each field. The vehicles which are considered are cars and motorcycles. The results show that the isosceles triangular parking area has 218 units of optimal PSU, which are 84 units of PSU for cars and 134 units of PSU for motorcycles. Equilateral triangular parking area has 688 units of optimal PSU, which are 175 units of PSU for cars and 513 units of PSU for motorcycles.