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Optimization model of parking charge and income using Lagrange multiplier method

This paper discusses about developing optimization models for parking space unit (PSU) and maximum parking charge and income. The models are applied at the parking lot of Hermes Palace Mall of Banda Aceh. The models of parking space unit are governed by using the Integer Linear Programming (ILP) app...

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Main Authors:	Ramli, Marwan, Sary, Desy Puspita, Halfiani, Vera
Format:	Conference Proceeding
Language:	English
Subjects:	Automobiles Constraint modelling Income Integer programming Lagrange multiplier Linear programming Motorcycles Optimization models Parking
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creator	Ramli, Marwan Sary, Desy Puspita Halfiani, Vera
description	This paper discusses about developing optimization models for parking space unit (PSU) and maximum parking charge and income. The models are applied at the parking lot of Hermes Palace Mall of Banda Aceh. The models of parking space unit are governed by using the Integer Linear Programming (ILP) approach which maximizes PSU based on the parking angle. The result shows that the parking area for vehicles (cars and motorcycles) can maximally accommodate 54 PSUs for car and 760 PSUs for motorcycle. This maximum PSU then becomes a constraint in modeling the parking charge and income’s mathematical system. Lagrange multiplier is employed to find the maximum charge and income. The result shows that the maximum income is earned from the parking of cars an motorcycles giving Rp. 66.622.500 and Rp 60.909.000 in total, respectively.
doi_str_mv	10.1063/1.4965154
format	conference_proceeding
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The models are applied at the parking lot of Hermes Palace Mall of Banda Aceh. The models of parking space unit are governed by using the Integer Linear Programming (ILP) approach which maximizes PSU based on the parking angle. The result shows that the parking area for vehicles (cars and motorcycles) can maximally accommodate 54 PSUs for car and 760 PSUs for motorcycle. This maximum PSU then becomes a constraint in modeling the parking charge and income’s mathematical system. Lagrange multiplier is employed to find the maximum charge and income. The result shows that the maximum income is earned from the parking of cars an motorcycles giving Rp. 66.622.500 and Rp 60.909.000 in total, respectively.</description><identifier>ISSN: 0094-243X</identifier><identifier>EISSN: 1551-7616</identifier><identifier>DOI: 10.1063/1.4965154</identifier><identifier>CODEN: APCPCS</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Automobiles ; Constraint modelling ; Income ; Integer programming ; Lagrange multiplier ; Linear programming ; Motorcycles ; Optimization models ; Parking</subject><ispartof>AIP conference proceedings, 2016, Vol.1775 (1)</ispartof><rights>Author(s)</rights><rights>2016 Author(s). 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The models are applied at the parking lot of Hermes Palace Mall of Banda Aceh. The models of parking space unit are governed by using the Integer Linear Programming (ILP) approach which maximizes PSU based on the parking angle. The result shows that the parking area for vehicles (cars and motorcycles) can maximally accommodate 54 PSUs for car and 760 PSUs for motorcycle. This maximum PSU then becomes a constraint in modeling the parking charge and income’s mathematical system. Lagrange multiplier is employed to find the maximum charge and income. The result shows that the maximum income is earned from the parking of cars an motorcycles giving Rp. 66.622.500 and Rp 60.909.000 in total, respectively.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/1.4965154</doi><tpages>8</tpages></addata></record>
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source	American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list)
subjects	Automobiles Constraint modelling Income Integer programming Lagrange multiplier Linear programming Motorcycles Optimization models Parking
title	Optimization model of parking charge and income using Lagrange multiplier method
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