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Optimization of Parking Lot in the Forms of Parallelogram and Right Triangle for Cars and Motorbikes
Mathematical Modelling and Applications
Volume 4, Issue 4, December 2019, Pages: 64-71
Received: Nov. 21, 2019; Accepted: Dec. 18, 2019; Published: Dec. 30, 2019
Authors
Widiawati Putri, Department of Mathematics, University of Riau, Pekanbaru, Indonesia
Ihda Hasbiyati, Department of Mathematics, University of Riau, Pekanbaru, Indonesia
Moh Danil Hendry Gamal, Department of Mathematics, University of Riau, Pekanbaru, Indonesia
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Abstract
Parking lots are elements that affect the transportation system. Placement of the wrong parking lot, such as on a roadside, causes congestion. One way to overcome this is to provide safe and efficient parking. This article discusses the optimization of parking lots in the form of parallelograms and right triangles for cars and motorbikes. The shape of the parallelogram land is formed in two ways namely directly and separately, the landform separately consists of the form of two right triangles and rectangles. The initial step in this discussion is to make a design on the parking lot and assumptions that correspond to the shape of the land. The design of parking lots in this article consists of three designs, namely land in the form of parallelograms, right triangles and rectangles. Furthermore, a mathematical model was built for each land design. The method used for the calculation of mathematical models for each design is the linear programming method and is calculated using LINGO software. The results obtained are the optimum number of car and motorbikes vehicles for each land design. In this article, the optimal results for car vehicles with land in the form of parallelograms formed directly are 1110 vehicles, furthermore the form of parallelograms formed separately are 1295 vehicles. These results indicate that the two forms are more optimal than the separated forms. Then, for the form of a right triangle gives optimal results 491 car vehicles. The next vehicle is a motorbikes, the optimal result for motorbikes with land in the form of a parallelogram that is formed directly is 11969 vehicles, then the shape of the parallelogram is formed separately there are 15440 vehicles. Then, to form a right triangle give optimal results 6163 motorbikes vehicles.
Keywords
Parking Lot Optimization, Parking Lot Design, Linear Programming, Parallelogram Parking Lots, Right Triangle Parking Lots
Widiawati Putri, Ihda Hasbiyati, Moh Danil Hendry Gamal, Optimization of Parking Lot in the Forms of Parallelogram and Right Triangle for Cars and Motorbikes, Mathematical Modelling and Applications. Vol. 4, No. 4, 2019, pp. 64-71. doi: 10.11648/j.mma.20190404.12
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