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Graph Theory to Achieve the Digital Transformation in Managing Freight Transportation Corridors

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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.

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Notes

  1. 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

  1. 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

    Article  Google Scholar 

  2. 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

    Article  Google Scholar 

  3. 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

  4. 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

  5. Cedillo-Campos M (2022) Resilient Supply Chains: The Logistics Value of Transportation Infrastructure. Alliance Mag 33:14–18

    Google Scholar 

  6. 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

    Article  Google Scholar 

  7. Guze S (2019) Graph Theory Approach to the Vulnerability of Transportation Networks. Algorithms 12(12):270. https://doi.org/10.3390/a12120270

    Article  MathSciNet  Google Scholar 

  8. 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

    Article  MathSciNet  Google Scholar 

  9. Liu Z, Zhao S (2015) Characteristics of road network forms in historic districts of Japan. Front Architect Res 4(4):296–307

    Article  MathSciNet  Google Scholar 

  10. 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

    Article  Google Scholar 

  11. 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

    Article  Google Scholar 

  12. Patarasuk R (2013) Road network connectivity and land-cover dynamics in Lop Buri province, Thailand. J Transp Geogr 28:111–123

    Article  Google Scholar 

  13. 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

    Article  Google Scholar 

  14. 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

    Google Scholar 

  15. Freiria S, Ribeiro B, Tavares AO (2015) Understanding road network dynamics: Link-based topological patterns. J Transp Geogr 46:55–66

    Article  Google Scholar 

  16. Novak DC, Sullivan JL (2014) A link-focused methodology for evaluating accessibility to emergency services. Decis Support Syst 57:309–319

    Article  Google Scholar 

  17. Xie F, Levinson D (2007) Measuring the structure of road networks. Geogr Anal 39:336–356

    Article  Google Scholar 

  18. Cheng T, Haworth J, Wang J (2012) Spatio-temporal autocorrelation of road network data. J Geogr Syst 14(4):389–413

    Article  Google Scholar 

  19. 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

  20. Touya G (2010) A Road Network Selection Process Based on Data Enrichment and Structure Detection. Trans GIS 14(5):595–614

    Article  Google Scholar 

  21. 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

  22. 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

    Article  Google Scholar 

  23. Dunn S, Wilkinson SM (2013) Identifying Critical Components in Infrastructure Networks Using Network Topology. J Infrastruct Syst 19(2):157–165

    Article  Google Scholar 

  24. 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

    Google Scholar 

  25. Jiang B, Claramunt C (2004) Topological Analysis of Urban Street Networks. Environ Plann B Plann Des 31(1):151–162

    Article  Google Scholar 

  26. 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

  27. 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

  28. Straffin PD (1980) Linear algebra in geography. eigenvectors of networks. Math Mag 53:269

    Article  MathSciNet  Google Scholar 

  29. Wallis WD (2007) A beginner’s guide to graph theory. Birkhäuser Boston, New York

    Book  Google Scholar 

  30. DGAF – General Direction for Federal Road Motor Carrier (2022) Statistics. In Spanish. Méxican Department of Transportation (SICT), Mexico

    Google Scholar 

  31. Porta S, Crucitti P, Latora V (2006) The network analysis of urban streets: A dual approach. Physica A 369(2):853–866

    Article  Google Scholar 

  32. DGST – General Direction of Technical Services (2022) Traffic Statistics In Spanish. Mexican Department of Transportation (SICT), Mexico

    Google Scholar 

  33. Freeman LC (1978) Centrality in social networks conceptual clarification. Social Networks 1(3):215–239

    Article  Google Scholar 

  34. 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

    Google Scholar 

  35. 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

    Google Scholar 

  36. 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

  37. 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

  38. 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

  39. 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

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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).

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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.

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Correspondence to Miguel Gastón Cedillo-Campos.

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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

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