Optimization model of parking charge and income using Lagrange multiplier method

Closed

Marwan Ramli, Desy Puspita Sary, Vera Halfiani

2016 AIP Conference Proceedings Vol. 1775 Conference paper Cited by 5 SDG 11SDG 16SDG 17 Quartile

Abstract

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. © 2016 Author(s).

Affiliations

Department of Mathematics, Syiah Kuala University, Banda Aceh, 23111, Indonesia; Graduated Mathematics Program, Syiah Kuala University, Banda Aceh, 23111, Indonesia; Dynamic Application and Optmization Groups, Syiah Kuala University, Banda Aceh, 23111, Indonesia

Research at a Glance

Premium content — register to unlock

Research at a Glance

Register to unlock

Topics & SDG Alignment

Premium content — register to unlock

Topics & SDG Alignment

Register to unlock

Collaboration

Premium content — register to unlock

Collaboration

Register to unlock

Author Profile (Selected)

Premium content — register to unlock

Author Profile (Selected)

Register to unlock

References Overview

Premium content — register to unlock

References Overview

Register to unlock

Journal & Source

Premium content — register to unlock

Journal & Source

Register to unlock

Metadata & Integrity

Premium content — register to unlock

Metadata & Integrity

Register to unlock