Volume 8, Issue 4, August 2019, Page: 77-82
Parking Lot Optimization in Parallelogram Using the Concept Area of Rectangular and Right Triangle
Ihda Hasbiyati, Department of Mathematics, University of Riau, Pekanbaru, Indonesia
Widiawati Putri, Graduate School of Mathematics, University of Riau, Pekanbaru, Indonesia
Arisman Adnan, Department of Mathematics, University of Riau, Pekanbaru, Indonesia
Ahriyati, Department of Mathematics, University of Riau, Pekanbaru, Indonesia
Hasriati, Department of Mathematics, University of Riau, Pekanbaru, Indonesia
Received: Aug. 20, 2019;       Accepted: Sep. 19, 2019;       Published: Oct. 9, 2019
DOI: 10.11648/j.pamj.20190804.12      View  174      Downloads  46
Parking lots are one of the most important elements of transportation infrastructure. Parking lots with good design and the selection of suitable parking angles will provide optimal vehicle capacity. In this article, we will discuss the parking lot in the form of a Parallelogram with a broad concept of area, for parking a private car vehicle. In this paper, the land in the form of a jug is formed of two right and rectangular triangles. The method used is a linear program method that is formed from the broad concept of the area with the help of lindo software. The results obtained from this article are the forms of Parallelogram which are formed from two right triangles which are used divided into two parts, namely a right triangle with a base and a height of half a rectangle resulting in a total parking area of 873,600 square meters, with the number of car vehicles that can be parked on the inside of a parking lot with a 90 degree angle is as much as 520 car vehicles. So it can be concluded that the numbers formed from two right triangles and rectangles produce the optimal number of vehicles with a 90 degree parking angle.
Linear Program, Parking Design, Parking Angle, Parking Capacity, Area
To cite this article
Ihda Hasbiyati, Widiawati Putri, Arisman Adnan, Ahriyati, Hasriati, Parking Lot Optimization in Parallelogram Using the Concept Area of Rectangular and Right Triangle, Pure and Applied Mathematics Journal. Vol. 8, No. 4, 2019, pp. 77-82. doi: 10.11648/j.pamj.20190804.12
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A. S. Abdelfatah and M. A. Taha, Parking capacity optimization using linear programming, Journal of Traffic and Logistics Engineering, vol. 2, no. 3, 176-181, 2014.
G. Chang, dan G. Ping, Research on parking space optimal design method in parking lots, International Journal of Advancements in Computing Technology (IJACT), 5 (2013), 79-85.
Director General of Indonesian Land Transportation, 1996, Organizing Parking Facilities (Jakarta: Department of Transportation).
I. Hasibyati, Analysis of Multi-Stage Stochastic Optimization Model for Stochastic Transportation Problem, Journal of Transportatiob Systems, 4 (2019), 21-25.
F. S. Hillier dan G. J. Lieberman, Introduction to Operations Research, Tenth Edition, McGraw-Hill, New York, 2010.
S. Munzir, M. Ikhsan, dan Z. Amin, Linear programming for parking slot optimization: a case study at Jl. T. Panglima Polem Banda Aceh, Prosiding 6th IMT-GT Conference on Mathematics, Statistics and its Applications (ICMSA 2010) Universiti Tunku Abdul Rahman, Kuala Lumpur, Malaysia, 2010.
M. Ramli, D. Puspitasari, dan V. Hanafi, Optimization model of parking charge and Income using lagrange multiplier method, Prosiding AIP Conference Series, pp. 030034-1 - 030034-8.
N. K. Oladejo dan B. D. Awuley, Application of linear programming in optimization of parking slot: a case study of Tamale-Bolgatanga lorry station in Ghana, International Journal of Emerging Technology and Advanced Engineering, 2016, 147-154.
L. E. Schrage, Linear, Integer, and Quadratic Programming with Lindo, Scientific Press, 1986.
H. Siringoringo, Seri Teknik Riset Operasional. Pemrograman Linier. Penerbit Graha Ilmu. Yogyakarta. 2005.
I. Syahrini, T. Sundari, T. Iskandar, V. Halfiani, S. Munzir, dan M. Ramli, Mathematical model of Parking Space unit for triangular parking area, IOP Conference Series: Materials Sciences and Engineering, 2018.
W. L. Winston, Operation Research Aplications and Algorithms, International Student Fourth Edition, United States, 2004.
M. Yun, Y. Lao, Y. Ma, dan X. Yang, Optimization model on scale of public parking lot considering parking behavior, The Eighth International Conference of Chinese Logistics and Transportation Professionals, 2008.
Browse journals by subject