Optimization of Parking Lot in the Forms of Parallelogram and Right Triangle for Cars and Motorbikes

Widiawati Putri; Ihda Hasbiyati; Moh Danil Hendry Gamal

doi:doi:10.11648/j.mma.20190404.12

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Optimization of Parking Lot in the Forms of Parallelogram and Right Triangle for Cars and Motorbikes

Widiawati Putri, Ihda Hasbiyati, Moh Danil Hendry Gamal

Published in Mathematical Modelling and Applications (Volume 4, Issue 4)

Received: 21 November 2019 Accepted: 18 December 2019 Published: 30 December 2019

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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.

Published in	Mathematical Modelling and Applications (Volume 4, Issue 4)
DOI	10.11648/j.mma.20190404.12
Page(s)	64-71
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Parking Lot Optimization, Parking Lot Design, Linear Programming, Parallelogram Parking Lots, Right Triangle Parking Lots

References

[1]	A. S. Abdelfatah and M. Taha, Parking capacity optimization using linear programming, Journal of Traffic and Logistics Engineering, vol. 2, no. 3, 176-181, 2014.
[2]	K. Abdullah, N. H Thursday, N. F. N. Azahar, S. F. Shariff, and Z. C. Musa, Optimization of the parking spaces: a case study of the Plains of Roses, UiTM Shah Alam, IEEE Colloquim on Humanities, Science and Engineering Research (CHUSER 2012), 3-4 December 2012, Kota Kinabalu, Sabah, Malaysia, 2012.
[3]	G. Chang, and G. Ping, Research on parking space optimal design methods in parking lots, International Journal of Advancements in Computing Technology (IJACT), 5 (2013), 79-85.
[4]	Director General of Land Transportation, Operation of Parking Facilities, Jakarta, 1996.
[5]	F. S. Hillier and G. J. Lieberman, Introduction to Operations Research, Tenth Edition, McGraw-Hill, New York, 2010.
[6]	I. Hasbiyati, W. Putri, A. Adnan, Ahriyati, and Hasriati, Parking lot optimization using the concept area of rectangular and right triangle, Pure and Applied Mathematics Journal, vol. 8, 77-82, 2019.
[7]	S. Munzir, M. Ikhsan, and Z. Amin, Linear programming for parking slot optimization: a case study at Jl. T. Panglima Polem Banda Aceh, Proceedings of the 6th IMT-GT Conference on Mathematics, Statistics and its Applications (ICMSA2010) Tunku Abdul Rahman University, Kuala Lumpur, Malaysia, 2010.
[8]	N. K. Oladejo and B. D. Awuley, Application of linear programming in optimization of parking slots: a case study of Tamale-Bolgatanga lorry station in Ghana, International Journal of Emerging Technology and Advanced Engineering, 147-154, 2016.
[9]	H. Siringoringo, Operational Research Engineering Series. Linear Programming. Publisher Graha Ilmu. Yogyakarta. 2005.
[10]	I. Syahrini, T. Sundari, T. Iskandar, V. Halfiani, S. Munzir, and M. Ramli, Mathematical models of parking space units for triangular parking areas, IOP Conference Series: Materials Sciences and Engineering, 1-6, 2018.
[11]	H. A. Taha, Operaions Research: An Introduction, Pearson Prentice Hall Eighth Edition, United States of America, 2007.
[12]	W. L. Winston, Operations Research: Applications and Algorithms, International Student Fourth Edition, Belmont, 2004.
[13]	M. Yun, Y. Lao, Y. Ma, and X. Yang, Optimization models on the scale of public parking lots, The Eighth International Conference of Chinese Logistics and Transportation Professional, 2692-2699, 2008.

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APA Style

Widiawati Putri, Ihda Hasbiyati, Moh Danil Hendry Gamal. (2019). Optimization of Parking Lot in the Forms of Parallelogram and Right Triangle for Cars and Motorbikes. Mathematical Modelling and Applications, 4(4), 64-71. https://doi.org/10.11648/j.mma.20190404.12

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ACS Style

Widiawati Putri; Ihda Hasbiyati; Moh Danil Hendry Gamal. Optimization of Parking Lot in the Forms of Parallelogram and Right Triangle for Cars and Motorbikes. Math. Model. Appl. 2019, 4(4), 64-71. doi: 10.11648/j.mma.20190404.12

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AMA Style

Widiawati Putri, Ihda Hasbiyati, Moh Danil Hendry Gamal. Optimization of Parking Lot in the Forms of Parallelogram and Right Triangle for Cars and Motorbikes. Math Model Appl. 2019;4(4):64-71. doi: 10.11648/j.mma.20190404.12

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@article{10.11648/j.mma.20190404.12,
  author = {Widiawati Putri and Ihda Hasbiyati and Moh Danil Hendry Gamal},
  title = {Optimization of Parking Lot in the Forms of Parallelogram and Right Triangle for Cars and Motorbikes},
  journal = {Mathematical Modelling and Applications},
  volume = {4},
  number = {4},
  pages = {64-71},
  doi = {10.11648/j.mma.20190404.12},
  url = {https://doi.org/10.11648/j.mma.20190404.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mma.20190404.12},
  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.},
 year = {2019}
}

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TY - JOUR
T1 - Optimization of Parking Lot in the Forms of Parallelogram and Right Triangle for Cars and Motorbikes
AU - Widiawati Putri
AU - Ihda Hasbiyati
AU - Moh Danil Hendry Gamal
Y1 - 2019/12/30
PY - 2019
N1 - https://doi.org/10.11648/j.mma.20190404.12
DO - 10.11648/j.mma.20190404.12
T2 - Mathematical Modelling and Applications
JF - Mathematical Modelling and Applications
JO - Mathematical Modelling and Applications
SP - 64
EP - 71
PB - Science Publishing Group
SN - 2575-1794
UR - https://doi.org/10.11648/j.mma.20190404.12
AB - 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.
VL - 4
IS - 4
ER -

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Author Information

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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APA Style

Widiawati Putri, Ihda Hasbiyati, Moh Danil Hendry Gamal. (2019). Optimization of Parking Lot in the Forms of Parallelogram and Right Triangle for Cars and Motorbikes. Mathematical Modelling and Applications, 4(4), 64-71. https://doi.org/10.11648/j.mma.20190404.12

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ACS Style

Widiawati Putri; Ihda Hasbiyati; Moh Danil Hendry Gamal. Optimization of Parking Lot in the Forms of Parallelogram and Right Triangle for Cars and Motorbikes. Math. Model. Appl. 2019, 4(4), 64-71. doi: 10.11648/j.mma.20190404.12

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AMA Style

Widiawati Putri, Ihda Hasbiyati, Moh Danil Hendry Gamal. Optimization of Parking Lot in the Forms of Parallelogram and Right Triangle for Cars and Motorbikes. Math Model Appl. 2019;4(4):64-71. doi: 10.11648/j.mma.20190404.12

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@article{10.11648/j.mma.20190404.12,
  author = {Widiawati Putri and Ihda Hasbiyati and Moh Danil Hendry Gamal},
  title = {Optimization of Parking Lot in the Forms of Parallelogram and Right Triangle for Cars and Motorbikes},
  journal = {Mathematical Modelling and Applications},
  volume = {4},
  number = {4},
  pages = {64-71},
  doi = {10.11648/j.mma.20190404.12},
  url = {https://doi.org/10.11648/j.mma.20190404.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mma.20190404.12},
  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.},
 year = {2019}
}

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