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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Bibliographic Details
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
Online Access:Get full text
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Summary: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4965154