Abstract
Digital transformation of organizations managing freight transportation corridors is today, under the so-called “Nearshoring” trend, a key challenge for the logistics sector operating in regions such as the USMCA (United States-Mexico-Canada Agreement). Since Mexico has a significant role in North American industrial supply chains' regionalization, this paper proposes a graph theory-based logistics approach to model and measure the operational robustness of Mexican freight transportation corridors. The proposed method consisted of four steps: (a) construct a dual network for evaluating road section indexes by transforming road links into nodes; (b) assign weights to the edges based on each route distance; (c) simulating potential disruptions in road sections based on topological indices and variations in distance; and (d) developing a web-based digital tool to manage and evaluate the impact of freight transportation corridor management's impact on supply chains' efficiency, sustainability, and resilience. This paper makes two contributions to the current body of knowledge and practical applications. Firstly, it identifies the limitations of some topological indices when assessing the dual graph. Secondly, it discusses the challenges and opportunities for implementing the digital transformation of freight transportation corridor management in Mexico. In conclusion, this paper presents insights for policymakers and researchers and outlines future research directions.
Similar content being viewed by others
Data availability
Not Applicable.
Notes
According to [29]: “If a connected graph G has e edges and v vertices, and if T is anyone of its spanning trees, then T contains v—1 edges and T ̅ contains e—(v—1) = e—v + 1 edges. To each edge of T ̅ there corresponds a cycle formed by adjoining the edge to T; the set of these e—v + 1 cycles is called the fundamental system of cycles of G with respect to T, and any cycle in the system is called a fundamental cycle.”.
References
Cedillo-Campos M, Pérez-González C, Piña J, Moreno E (2019) Measurement of travel time reliability of road transportation using GPS data: a freight fluidity approach. Transport Res Part A: Policy Pract 130(December):240–288. https://doi.org/10.1016/j.tra.2019.09.018
Cedillo-Campos M, Piña-Barcenas J, Pérez C, Mora J (2022) How to measure and monitor the transportation infrastructure that contributes to the logistics value of supply chains? Transport Policy 120(May 2022):120–129. https://doi.org/10.1016/j.tranpol.2022.03.001
Covarrubias, D, Cedillo-Campos, M (2023) A Living Lab at the Southern Border. The Wilson Quarterly, Wilson Center, Mexico Institute. https://www.wilsonquarterly.com/quarterly/strategic-competition/a-living-lab-at-the-southern-border. Accessed 10 May 2023
Kungwalsong K, Mendoza A, Kamath V, Pazhani S, Marmolejo-Saucedo JA (2022) An application of interactive fuzzy optimization model for redesigning supply chain for resilience. Ann Oper Res 315(2):1803–1839. https://doi.org/10.1007/s10479-022-04542-5
Cedillo-Campos M (2022) Resilient Supply Chains: The Logistics Value of Transportation Infrastructure. Alliance Mag 33:14–18
Hackl J, Adey BT (2019) Estimation of traffic flow changes using networks in networks approaches. Appl Netw Sci 4:28. https://doi.org/10.1007/s41109-019-0139-y
Guze S (2019) Graph Theory Approach to the Vulnerability of Transportation Networks. Algorithms 12(12):270. https://doi.org/10.3390/a12120270
Erath A, Löchl M, Axhausen KW (2009) Graph-Theoretical Analysis of the Swiss Road and Railway Networks Over Time. Netw Spat Econ 9(3):379–400
Liu Z, Zhao S (2015) Characteristics of road network forms in historic districts of Japan. Front Architect Res 4(4):296–307
Su W, Yang G, Yao S, Yang Y (2007) Scale-free structure of town road network in southern Jiangsu Province of China. Chin Geogra Sci 17(4):311–316
Liu S, Cui B, Wen M, Wang J, Dong S (2007) Statistical regularity of road network features and ecosystem change in the Longitudinal Range-Gorge Region (LRGR). Chin Sci Bull 52(S2):82–89
Patarasuk R (2013) Road network connectivity and land-cover dynamics in Lop Buri province, Thailand. J Transp Geogr 28:111–123
Bono F, Gutiérrez E (2011) A network-based analysis of the impact of structural damage on urban accessibility following a disaster: the case of the seismically damaged Port Au Prince and Carrefour urban road networks. J Transp Geogr 19(6):1443–1455. https://doi.org/10.1016/j.jtrangeo.2011.08.002
Duan Y, Lu F (2014) Robustness Analysis of City Road Network at Different Granularities. En Space-Time Integration in Geography and GIScience (págs. 127-143). Springer, Dordrecht
Freiria S, Ribeiro B, Tavares AO (2015) Understanding road network dynamics: Link-based topological patterns. J Transp Geogr 46:55–66
Novak DC, Sullivan JL (2014) A link-focused methodology for evaluating accessibility to emergency services. Decis Support Syst 57:309–319
Xie F, Levinson D (2007) Measuring the structure of road networks. Geogr Anal 39:336–356
Cheng T, Haworth J, Wang J (2012) Spatio-temporal autocorrelation of road network data. J Geogr Syst 14(4):389–413
Thomson, R, Brooks, R (2007) Generalisation of Geographical Networks. In Generalisation of Geographic Information (pp. 255–267). Elsevier. https://doi.org/10.1016/B978-008045374-3/50015-6
Touya G (2010) A Road Network Selection Process Based on Data Enrichment and Structure Detection. Trans GIS 14(5):595–614
Zhang, Q (2005) Road Network Generalization Based on Connection Analysis. En Developments in Spatial Data Handling (pp. 343–353). Springer. https://doi.org/10.1007/3-540-26772-7_26
Schintler LA, Kulkarni R, Gorman S, Stough R (2007) Using Raster-Based GIS and Graph Theory to Analyze Complex Networks. Netw Spat Econ 7(4):301–313
Dunn S, Wilkinson SM (2013) Identifying Critical Components in Infrastructure Networks Using Network Topology. J Infrastruct Syst 19(2):157–165
Cardozo OD, Gómez EL, Parras MA (2009) Teoría de grafos y sistemas de información geográfica aplicados al transporte público de pasajeros en Resistencia (Argentina). Revista Transporte y Territorio 1:89–111
Jiang B, Claramunt C (2004) Topological Analysis of Urban Street Networks. Environ Plann B Plann Des 31(1):151–162
Morgado P, Costa N (2011) Graph-based model to transport networks analysis through GIS. In: Proceedings of European Colloquium on Quantitative and Theoretical Geography, Greece, Athens, 2-5 September. [online]: http://www.mopt.org.pt/uploads/1/8/5/5/1855409/pm_nc_graph-based_model.pdf
Shi Y, Lu H-P (2007) Complexity of urban road networks. In: Proceedings of International Conference on Transportation Engineering 2007, 22-24 July. https://doi.org/10.1061/9780784409329
Straffin PD (1980) Linear algebra in geography. eigenvectors of networks. Math Mag 53:269
Wallis WD (2007) A beginner’s guide to graph theory. Birkhäuser Boston, New York
DGAF – General Direction for Federal Road Motor Carrier (2022) Statistics. In Spanish. Méxican Department of Transportation (SICT), Mexico
Porta S, Crucitti P, Latora V (2006) The network analysis of urban streets: A dual approach. Physica A 369(2):853–866
DGST – General Direction of Technical Services (2022) Traffic Statistics In Spanish. Mexican Department of Transportation (SICT), Mexico
Freeman LC (1978) Centrality in social networks conceptual clarification. Social Networks 1(3):215–239
Romo R, Almejo R, Campos M, Téllez Y, Ruiz L, Bartolo D, Ovando M (2021) Catalog of the National Urban System. In Spanish. CONAPO - SEDESOL, Mexico
Del Castillo G, Peschard-Sverdrup A, Fuentes NA, Corrales S, Brugués A, Barraza V (2007) Study of Mexico-United States Ports of Entry: analysis of capacities and recommendations to increase efficiency. In Spanish. El Colegio de la Frontera Norte, Mexico
Cedillo-Campos, M (2023) More resilience. Less Pollution: Why is cross-border logistics interoperability strategic to build resilient and sustainable supply chains? (January 10, 2023). https://ssrn.com/abstract=4323267. Accessed 10 May 2023
Flores-Siguenza P, Marmolejo-Saucedo JA, Niembro-Garcia J (2023) Robust optimization model for sustainable supply chain design integrating LCA. Sustainability 15(19):14039. https://doi.org/10.3390/su151914039
Marmolejo-Saucedo JA (2022) Digital twin framework for large-scale optimization problems in supply chains: a case of packing problem. Mob Netw Appl 27(5):2198–214. https://doi.org/10.1007/s11036-021-01856-9
Chakraborti A, Vainio H, Koskinen KT, Lammi J (2023) A graph-based model reduction method for digital twins. Machines 11(7):733. https://doi.org/10.3390/machines11070733
Acknowledgements
The authors would like to express their gratitude for the financial support provided by the National Council of Humanities, Sciences, and Technologies (CONAHCYT) and the institutional support from the National Laboratory for Transportation Systems and Logistics of the Mexican Institute of Transportation. They also wish to extend a special thanks to Flora Hammer for her valuable comments that helped improve the final document's editing.
Funding
Partial financial support was received from the Mexican Institute of Transportation (IMT) and the National Council of Humanities, Sciences, and Technologies (CONAHCYT).
Author information
Authors and Affiliations
Contributions
The authors confirm their contribution to the paper as follows: study conception and design: M.G.C.C., and J.P.B.; data collection: J.P.B.; analysis and interpretation of results: M.G.C.C., J.P.B., E.M.Q., and D.C.; manuscript preparation: M.G.C.C., E. M.Q., and D.C. All authors reviewed the results and approved the final version of the manuscript.
Corresponding author
Ethics declarations
Declarations
The author(s) declared no potential conflicts of interest concerning this article's research, authorship, and publication.
Competing interests
The authors declare no competing interests.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Piña-Barcenas, J., Cedillo-Campos, M.G., Moreno-Quintero, E. et al. Graph Theory to Achieve the Digital Transformation in Managing Freight Transportation Corridors. Mobile Netw Appl (2023). https://doi.org/10.1007/s11036-023-02283-8
Accepted:
Published:
DOI: https://doi.org/10.1007/s11036-023-02283-8