Circuit Analysis Approach for Sustainable Routing Optimization with Multiple Delivery Points

Rogelio A. Callejas-Molina, Hector Vazquez-Leal (), Jesus Huerta-Chua, Uriel A. Filobello-Nino, Mario A. Sandoval-Hernandez, Rosalba Aguilar-Velazquez and Javier Diaz-Carmona
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Rogelio A. Callejas-Molina: Facultad de Instrumentación Electrónica, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltrán s/n, Zona Universitaria, Xalapa 91000, Veracruz, Mexico
Hector Vazquez-Leal: Facultad de Instrumentación Electrónica, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltrán s/n, Zona Universitaria, Xalapa 91000, Veracruz, Mexico
Jesus Huerta-Chua: Instituto Tecnológico Superior de Poza Rica, Calle Luis Donaldo Colosio Murrieta s/n, Col. Arroyo del Maíz, Poza Rica 93230, Veracruz, Mexico
Uriel A. Filobello-Nino: Facultad de Instrumentación Electrónica, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltrán s/n, Zona Universitaria, Xalapa 91000, Veracruz, Mexico
Mario A. Sandoval-Hernandez: Centro de Bachillerato Tecnologico Industrial y de Servicios No. 190, Boca del Río 94297, Veracruz, Mexico
Rosalba Aguilar-Velazquez: Facultad de Contaduría y Administración, Circuito Gonzalo Aguirre Beltrán s/n, Zona Universitaria, Xalapa 91000, Veracruz, Mexico
Javier Diaz-Carmona: Instituto Tecnológico de Celaya, Tecnológico Nacional de México, Antonio García Cubas Pte. 600, Col. Fovissste, Celaya 38010, Guanajuato, Mexico

Sustainability, 2025, vol. 17, issue 7, 1-21

Abstract: This paper introduces a novel methodology for vehicle routing services called Route Optimization with Multiple Delivery Points (ROMP), which works by modeling urban street networks as analog electrical circuits. This methodology translates road networks into a linear electrical circuit where the resistances of circuit branches represent parameters like vehicular flow and street length, derived from geographic positions between intersections. By applying Modified Nodal Analysis (MNA) to this circuit, ROMP identifies high-current paths that closely approximate minimal travel distances. The practical performance of ROMP is demonstrated through three case studies, showing its potential to yield shorter routes and faster route-finding compared to OpenRouteService (ORS). The resultant improvements can lead to fuel savings, reduced labor costs, and enhanced logistics operations, particularly in applications involving a single origin and multiple delivery points, such as goods delivery and patient transport. In addition, this proposal supports sustainability by optimizing routes, which helps reduce the environmental impact of transportation and lower greenhouse gas emissions. Furthermore, shorter travel distances and improved efficiency promote better energy use, enhancing air quality and urban sustainability. Future work aims to integrate new street models and real-time traffic data to expand ROMP’s applicability in vehicle routing research.

Keywords: vehicle routing services; route optimization; linear electrical circuit; Modified Nodal Analysis; OpenRouteService (ORS) (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2025
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