Technical Papers
Feb 22, 2022

Budget-Constrained Rail Electrification Modeling Using Symmetric Traffic Assignment: A North American Case Study

Publication: Journal of Infrastructure Systems
Volume 28, Issue 2

Abstract

We consider a budget-constrained rail network electrification problem with associated changes in costs of energy usage (via path gradient and curvature), operations, and long-term maintenance. In particular, we consider that freight flows on such a network form a user equilibrium. Interactions between electric and diesel trains on the same corridor are represented with nonseparable link performance functions that nevertheless have a symmetric Jacobian. This bilevel formulation is solved for the North American railroad network using a genetic algorithm (GA), incorporating domain-specific insights to reduce the number of solutions that must be considered. We analyze solution characteristics and decision-making implications. Results show that broad connectivity would be beneficial for the most impact. Increasing demand shifts electrified corridors toward the more populous east and gulf coasts, while increased operational costs results in the electrification of routes through mountainous terrains.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

All data, models, and code generated or used during the study appear in the published article.

Acknowledgments

The authors would like to thank William Alexander and Karthik Velayutham for their insights and help with the TAP code implementation. This research was partially supported by the National Science Foundation (CMMI-1562291, CMMI-1826320).

References

Alliance Transportation Group. 2013. Statewide analysis model—Third version (SAM-V3). Austin, TX: Texas DOT.
Bar-Gera, H. 2010. “Traffic assignment by paired alternative segments.” Transp. Res. Part B Methodol. 44 (8–9): 1022–1046. https://doi.org/10.1016/j.trb.2009.11.004.
Beckmann, M., C. B. McGuire, and C. B. Winsten. 1956. Studies in the economics of transportation. London: Yale University Press.
Borndörfer, R., M. Grötschel, and M. E. Pfetsch. 2008. “Models for line planning in public transport.” In Computer-aided systems in public transport, 363–378. Berlin: Springer.
Boyles, S., W. Alexander, R. Patel, K. Velayutham, and R. Thakkar. 2020a. “tap-b implementation.” Accessed May 20, 2020. https://github.com/spartalab/tap-b/wrap.
Boyles, S. D., N. E. Lownes, and A. Unnikrishnan. 2020b. Vol. 1 of Transportation network analysis. Cambridge, MA: Massachusetts Institute of Technology.
Bureau of Public Roads. 1964. Vol. 37 of Traffic assignment manual for application with a large, high speed computer. Washington, DC: US Dept. of Commerce, Bureau of Public Roads, Office of Planning.
Bureau of Transportation Statistics. 2020. “Freight analysis framework version 4.” Accessed July 25, 2020. https://faf.ornl.gov/fafweb/.
Cambridge Systematics. 2012. “Task 8.3: Analysis of freight rail electrification in the scag region.” Accessed July 27, 2020. https://www.freightworks.org/DocumentLibrary/CRGMSAIS%20-%20Analysis%20of%20Freight%20Rail%20Electrification%20in%20the%20SCAG%20Region.pdf.
Center for Transportation Analysis. 2014. “CTA railroad network.” Accessed October 3, 2018. https://cta.ornl.gov/transnet/RailRoads.html.
Chen, M., and A. S. Alfa. 1991. “A network design algorithm using a stochastic incremental traffic assignment approach.” Transp. Sci. 25 (3): 215–224. https://doi.org/10.1287/trsc.25.3.215.
Clarke, D. B. 1995. “An examination of railroad capacity and its implications for rail-highway intermodal transportation.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of Tennessee.
Dafermos, S. C. 1971. “An extended traffic assignment model with applications to two-way traffic.” Transp. Sci. 5 (4): 366–389. https://doi.org/10.1287/trsc.5.4.366.
Dafermos, S. C. 1972. “The traffic assignment problem for multiclass-user transportation networks.” Transp. Sci. 6 (1): 73–87. https://doi.org/10.1287/trsc.6.1.73.
Dial, R. B. 2006. “A path-based user-equilibrium traffic assignment algorithm that obviates path storage and enumeration.” Transp. Res. Part B Methodol. 40 (10): 917–936. https://doi.org/10.1016/j.trb.2006.02.008.
Ditmeyer, S. R, J. R. Martin, P. E. Olson, M. F. Rister, B. A. Ross, J. Schmidt, and E. H. Sjokvist. 1985. “Railway electrification and railway productivity: A study report.” Transp. Res. Rec. 1029: 23–30.
Drezner, Z., and G. O. Wesolowsky. 1997. “Selecting an optimum configuration of one-way and two-way routes.” Transp. Sci. 31 (4): 386–394. https://doi.org/10.1287/trsc.31.4.386.
Farahani, R. Z., E. Miandoabchi, W. Y. Szeto, and H. Rashidi. 2013. “A review of urban transportation network design problems.” Eur. J. Oper. Res. 229 (2): 281–302. https://doi.org/10.1016/j.ejor.2013.01.001.
Fritz, S. G. 2000. Diesel fuel effects on locomotive exhaust emissions. San Antonio: Southwest Research Institute.
Gao, Z., J. Wu, and H. Sun. 2005. “Solution algorithm for the bi-level discrete network design problem.” Transp. Res. Part B Methodol. 39 (6): 479–495. https://doi.org/10.1016/j.trb.2004.06.004.
Gartner, N. H. 1980. “Optimal traffic assignment with elastic demands: A review part II. Algorithmic approaches.” Transp. Sci. 14 (2): 192–208. https://doi.org/10.1287/trsc.14.2.192.
Gattuso, D., and A. Restuccia. 2014. “A tool for railway transport cost evaluation.” Procedia-Social Behav. Sci. 111 (Feb): 549–558. https://doi.org/10.1016/j.sbspro.2014.01.088.
Gillespie, A. J., and H. I. Hayes. 2003. Practical guide to railway engineering. Landover, MD: AREMA.
Hay, W. W. 1982. Vol. 1 of Railroad engineering. New York: Wiley.
Iliopoulou, C., K. Kepaptsoglou, and E. Vlahogianni. 2019. “Metaheuristics for the transit route network design problem: A review and comparative analysis.” Public Transp. 11 (3): 487–521. https://doi.org/10.1007/s12469-019-00211-2.
Jayakrishnan, R., W. T. Tsai, J. N. Prashker, and S. Rajadhyaksha. 1994. A faster path-based algorithm for traffic assignment. Berkeley, CA: Univ. of California.
Katoch, S., S. S. Chauhan, and V. Kumar. 2021. “A review on genetic algorithm: Past, present, and future.” Multimedia Tools Appl. 80 (5): 8091–8126. https://doi.org/10.1007/s11042-020-10139-6.
Kneschke, T. 1986. “Simple method for determination of substation spacing for ac and dc electrification systems.” IEEE Trans. Ind. Appl. 22 (4): 763–780. https://doi.org/10.1109/TIA.1986.4504789.
Lawrence, M., R. Bullock, and L. Ziming. 2019. “China’s high-speed rail development.” Accessed October 20, 2021. https://documents1.worldbank.org/curated/en/933411559841476316/pdf/Chinas-High-Speed-Rail-Development.pdf.
Leblanc, L. J. 1975. “An algorithm for the discrete network design problem.” Transp. Sci. 9 (3): 183–199. https://doi.org/10.1287/trsc.9.3.183.
Lo, H. K., and W. Szeto. 2004. “Planning transport network improvements over time.” In Urban and regional transportation modeling: Essays in honor of David Boyce, 157–176. Northampton, MA: Edward Elgar.
Lo, H. K., and W. Szeto. 2009. “Time-dependent transport network design under cost-recovery.” Transp. Res. Part B Methodol. 43 (1): 142–158. https://doi.org/10.1016/j.trb.2008.06.005.
Long, J., Z. Gao, H. Zhang, and W. Y. Szeto. 2010. “A turning restriction design problem in urban road networks.” Eur. J. Oper. Res. 206 (3): 569–578. https://doi.org/10.1016/j.ejor.2010.03.013.
Meng, Q., H. Yang, and M. G. Bell. 2001. “An equivalent continuously differentiable model and a locally convergent algorithm for the continuous network design problem.” Transp. Res. Part B Methodol. 35 (1): 83–105. https://doi.org/10.1016/S0191-2615(00)00016-3.
Ministry of Railways (India). 2020. “Railway electrification.” Accessed October 20, 2021. https://indianrailways.gov.in/railwayboard/view_section.jsp?lang=0&id=0,1,304,366,532,565.
Mishra, S., A. Kumar, M. M. Golias, T. Welch, H. Taghizad, and K. Haque. 2016. “Transportation investment decision making for medium to large transportation networks.” Transp. Dev. Econ. 2 (2): 1–9. https://doi.org/10.1007/s40890-016-0023-8.
Nektalova, T. 2008. “Energy density of diesel fuel.” Accessed July 30, 2020. https://hypertextbook.com/facts/2006/TatyanaNektalova.shtml.
Patil, P. 2020. “Rail electrification data repository.” Accessed July 25, 2020. https://github.com/PriyadarshanPatil/Rail_electrification_GA.
Patil, P. N., and S. D. Boyles. 2022. “A fresh look at symmetric traffic assignment and algorithm convergence.” In Proc., 101st Annual Meeting. Washington, DC: Transportation Research Board.
Patriksson, M. 1994. The traffic assignment problem: Models and methods. New York: Dover Publications.
Perederieieva, O., M. Ehrgott, A. Raith, and J. Y. Wang. 2015. “A framework for and empirical study of algorithms for traffic assignment.” Comput. Oper. Res. 54 (Feb): 90–107. https://doi.org/10.1016/j.cor.2014.08.024.
Prager, W. 1954. Problems of traffic and transportation. New York: H.W. Wilson Company.
RailTEC. 2016. “Transitioning to a zero or near-zero emission line-haul freight rail system in California: Operational and economic considerations.” Accessed July 27, 2020. https://ww3.arb.ca.gov/railyard/docs/uoi_rpt_06222016.pdf.
Schwarm, E. G. 1977. “Capital and maintenance costs for fixed railroad electrification facilities.” Transp. Res. Board Spec. Rep. 180: 42–47.
Szeto, W. Y., X. Jaber, and M. O’Mahony. 2010. “Time-dependent discrete network design frameworks considering land use.” Comput.-Aided Civ. Infrastruct. Eng. 25 (6): 411–426. https://doi.org/10.1111/j.1467-8667.2010.00654.x.
Szeto, W. Y., and H. K. Lo. 2006. “Transportation network improvement and tolling strategies: The issue of intergeneration equity.” Transp. Res. Part A Policy Pract. 40 (3): 227–243.
Szeto, W. Y., and H. K. Lo. 2008. “Time-dependent transport network improvement and tolling strategies.” Transp. Res. Part A Policy Pract. 42 (2): 376–391.
Uddin, M. M., and N. Huynh. 2015. “Freight traffic assignment methodology for large-scale road–rail intermodal networks.” Transp. Res. Rec. 2477 (1): 50–57. https://doi.org/10.3141/2477-06.
US Bureau of Labor Statistics. 2020. “Producer price indexes.” Accessed May 15, 2021. https://www.bls.gov/ppi.
USDOT—-Federal Railroad Administration. 2015. “Cost-benefit analysis of rail electrification for next generation freight and passenger rail transportation.” Accessed May 15, 2020. https://cms8.fra.dot.gov/sites/fra.dot.gov/files/fra_net/19061/Cost%20Benefit%20Analysis%20of%20Rail%20Electrification.pdf.
USDOT—-Federal Railroad Administration. 2019. “Federal-state partnership for state of good repair grant program (fy 2019).” Accessed May 25, 2020. https://railroads.dot.gov/grants-loans/competitive-discretionary-grant-programs/federal-state-partnership-state-good-repair-0.
USGS. 2007. “North America elevation 1-kilometer resolution grid.” Accessed May 15, 2020. https://www.sciencebase.gov/catalog/item/4fb5495ee4b04cb937751d6d.
Van Vuren, T., and D. Watling. 1991. “A multiple user class assignment model for route guidance.” Transp. Res. Rec. 1306: 22–32.
Walthall, R. 2019. “Rail electrification’s potential for emissions abatement in the freight industry: A case study of a transcontinental rail corridor.” M.S. thesis, Dept. of Civil, Architectural and Environmental Engineering, Univ. of Texas at Austin.
Wang, H., L. Nozick, N. Xu, and J. Gearhart. 2018. “Modeling ocean, rail, and truck transportation flows to support policy analysis.” Marit. Econ. Logist. 20 (3): 327–357. https://doi.org/10.1057/s41278-018-0108-x.
Wardrop, J. G., and J. I. Whitehead. 1952. “Correspondence. Some theoretical aspects of road traffic research.” Proc. Inst. Civ. Eng. 1 (5): 767–768.
Whitford, J. G. 1952. “Road paper. some theoretical aspects of road traffic research.” Proc. Inst. Civ. Eng. 1 (3): 325–362.

Information & Authors

Information

Published In

Go to Journal of Infrastructure Systems
Journal of Infrastructure Systems
Volume 28Issue 2June 2022

History

Received: Aug 19, 2021
Accepted: Jan 4, 2022
Published online: Feb 22, 2022
Published in print: Jun 1, 2022
Discussion open until: Jul 22, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Graduate Research Assistant, Graduate Program in Operations Research and Industrial Engineering, Univ. of Texas at Austin, Austin, TX 78712 (corresponding author). ORCID: https://orcid.org/0000-0001-8747-4679. Email: [email protected]
Rydell Walthall
Graduate Research Assistant, Dept. of Civil, Architectural and Environmental Engineering, Univ. of Texas at Austin, Austin, TX 78712.
Stephen D. Boyles, Ph.D.
Associate Professor, Dept. of Civil, Architectural and Environmental Engineering, Univ. of Texas at Austin, Austin, TX 78712.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share