Skip to main content
Intended for healthcare professionals
Restricted access
Research article
First published online January 1, 2009

Pareto Optimal Multiobjective Optimization for Robust Transportation Network Design Problem

Abstract

A study was done to formulate and solve the multiobjective network design problem with uncertain demand. Various samples of demand are realized for optimal improvements in the network while the objectives of the expected total system travel time and the higher moment for total system travel time are minimized. A formulation is proposed for multi-objective robust network design, and a solution methodology is developed on the basis of a revised fast and elitist nondominated sorting genetic algorithm. The developed methodology has been tested on the Nguyen-Dupuis network, and various Pareto optimal solutions are compared with earlier work on the single-objective robust network design problem. A real medium-size network was solved to prove efficacy of the model. The results show better solutions for the multiobjective robust network design problem with relatively less computational effort.

Get full access to this article

View all access and purchase options for this article.

References

1. LeBlanc L. J. An Algorithm for Discrete Network Design Problem. Transportation Science, Vol. 9, 1975, pp. 183–199.
2. Abdulaal M. and LeBlanc L. J. Continuous Equilibrium Network Design Problem. Transportation Research B, Vol. 13, 1979, pp. 19–32.
3. Yang H. and Lam W. H. K. Optimal Road Tolls Under Conditions of Queuing and Congestion. Transportation Research A, Vol. 30, No. 5 1996, pp. 319–332.
4. Yin Y. Genetic Algorithms Based Approach for Bi-Level Programming Models. Journal of Transportation Engineering, Vol. 126, No. 2 2000, pp. 115–120.
5. Wong S. C. and Yang H. Reserve Capacity of a Signal Controlled Road Network. Transportation Research B, Vol. 31, No. 5 1997, pp. 397–402.
6. Maher M. J. Zhang X. and Vleit D. V. A Bi-Level Programming Approach for Trip Matrix Estimation and Traffic Control Problems with Stochastic User Equilibrium Link Flows. Transportation Research B, Vol. 35, 2001, pp. 23–40.
7. Chootinan P. Wong S. C. and Chen A. A Reliability Based Network Design Problem. Journal of Advanced Transportation, Vol. 39, No. 3 2005, pp. 247–270.
8. Mathew T. V. and Sharma S. Capacity Expansion Problem for Large Urban Transportation Networks. Journal of Transportation Engineering (forthcoming).
9. Meng Q. Lee D. H. Yang H. and Huang H. J. Transportation Network Optimization Problems with Stochastic User Equilibrium Constraints. In Transportation Research Record: Journal of the Transportation Research Board, No. 1882, Transportation Research Board of the National Academies, Washington, D.C., 2004, pp. 113–119.
10. Fan W. and Machemehl R. B. Optimal Transit Route Network Design Problem with Variable Transit Demand: Genetic Algorithm Approach. Journal of Transportation Engineering, Vol. 132, No. 1 2006, pp. 40–51.
11. Waller S. T. and Ziliaskopoulos A. K. A Dynamic and Stochastic Approach to Network Design. In Transportation Research Record: Journal of the Transportation Research Board, No. 1771, TRB, National Research Council, Washington, D.C., 2001, pp. 106–114.
12. Heydecker B. G. Uncertainty and Variability in Traffic Signal Calculations. Transportation Research B, Vol. 21, No. 1 1987, pp. 79–85.
13. Yin Y. and Lawphongpanich S. A Robust Approach to the Continuous Network Design Problem with Demand Uncertainty. In Proc., 15th International Symposium on Transportation and Traffic Theory (Allsop R. E. Bell M. G. H. and Heydecker B. G., eds.), Elsevier, 2007, pp. 111–126.
14. Ukkusuri S. Mathew T. V. and Waller S. T. Robust Network Design Problem Under Demand Uncertainty. Computer-Aided Civil and Infrastructure Engineering, Vol. 22, 2007, pp. 6–18.
15. Mudchanatongsuk S. Ordóñez F. and Liu J. Robust Solutions for Network Design Under Transportation Cost and Demand Uncertainty. Journal of the Operational Research Society, Vol. 59, 2008, pp. 652–662.
16. Ordóñez F. and Zhao J. Robust Capacity Expansion of Network Flows. Networks, Vol. 50, No. 2 2007, pp. 136–145.
17. Yafeng Y. and Madanat S. Developing Optimal Planning and Management Strategies for a Robust Highway System. Report UCB-ITS-PRR-2005-35. California PATH, University of California, Berkeley, 2005.
18. Deb K. Multi-Objective Optimization Using Evolutionary Algorithms. John Wiley and Sons, Chichester, U.K., 2001.
19. Ukkusuri S. Accounting for Uncertainty, Robustness and Information Recourse in Transportation Networks. PhD dissertation. University of Texas at Austin, 2005.
20. Current J. and Min H. Multiobjective Design of Transportation Networks: Taxonomy and Annotation. European Journal of Operational Research, Vol. 26, No. 2 1986, pp. 187–201.
21. Current J. and Marsh M. Multiobjective Transportation Network Design and Routing Problems: Taxonomy and Annotation. European Journal of Operational Research, Vol. 65, No. 1 1993, pp. 4–19.
22. Yin Y. Multiobjective Bilevel Optimization for Transportation Planning and Management Problems. Journal of Advanced Transportation, Vol. 36, No. 1 2001, pp. 93–105.
23. Chen A. Subprasom K. and Ji Z. Mean-Variance Model for the Build-Operate-Transfer Model Under Demand Uncertainty. In Transportation Research Record: Journal of the Transportation Research Board, No. 1857, Transportation Research Board of the National Academies, Washington, D.C., 2003, pp. 93–101.
24. Chen A. Subprasom K. and Ji E. Z. A Simulation-Based Multi-Objective Genetic Algorithm (SMOGA) for Transportation Network Design Problem. Proc., 4th International Symposium on Uncertainty Modeling and Analysis, IEEE Computer Society, Washington, D.C., 2003, pp. 373–378.
25. Chen A. Subprasom K. and Ji Z. A Simulation-Based Multi-Objective Genetic Algorithm (SMOGA) Procedure for BOT Network Design Problem. Optimization and Engineering, Vol. 7(3), 2006, pp. 225–247.
26. Meng Q. Lee D.-H. and Cheu R. L. Multiobjective Vehicle Routing and Scheduling Problem with Time Window Constraints in Hazardous Material Transportation. Journal of Transportation Engineering, Vol. 131, No. 9 2005, pp. 699–707.
27. Chen A. and Yang C. Stochastic Transportation Network Design Problem with Spatial Equity Constraint. In Transportation Research Record: Journal of the Transportation Research Board, No. 1882, Transportation Research Board of the National Academies, Washington, D.C., 2004, pp. 97–104.
28. Figlali A. and Soysal A. A Multiobjective Approach to Transportation Network Design. Proc., Technology Management: The New International Language, IEEE, Portland, Ore., 1991, pp. 323–327.
29. Rao K. R. and Sarkar A. K. Multiobjective Transportation Network Design. Proc., International Conference on Roads and Road Transport, University of Roorkee, India, Vol. 2, New Age International Ltd., New Delhi, 1995, pp. 1173–1178.
30. Teng J.-Y. and Tzeng G.-H. A Multiobjective Programming Approach for Selecting Non-Independent Transportation Investment Alternatives. Transportation Research B, Vol. 30, No. 4 1996, pp. 291–307.
31. Tzeng G.-H. and Tsaur S. H. Application of Multiple Criteria Decision Making for Network Improvement. Journal of Advanced Transportation, Vol. 31, No. 1, 1997 pp. 49–74.
32. Fan W. and Machemehl R. B. Optimal Transit Route Network Design Problem with Variable Transit Demand: Genetic Algorithm Approach. Journal of Transportation Engineering, Vol. 132, No. 1 2006, pp. 40–51.
33. Zhao F. and Zeng X. Optimization of User and Operator Cost for Large-Scale Transit Network. Journal of Transportation Engineering, Vol. 133, No. 4 2007, pp. 240–251.
34. Deb K. Pratap A. Agarwal S. and Meyarivan T. A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II, IEEE Transactions on Evolutionary Computation, Vol. 6 No. 2, 2002, pp. 182–197.
35. Sharma S. and Mathew T. V. Transportation Network Design with Emission Pricing as a Bilevel Optimization Problem. Presented at 86th Annual Meeting of the Transportation Research Board, Washington, D.C., 2007.

Cite article

Cite article

Cite article

OR

Download to reference manager

If you have citation software installed, you can download article citation data to the citation manager of your choice

Share options

Share

Share this article

Share with email
EMAIL ARTICLE LINK
Share on social media

Share access to this article

Sharing links are not relevant where the article is open access and not available if you do not have a subscription.

For more information view the Sage Journals article sharing page.

Information, rights and permissions

Information

Published In

Article first published online: January 1, 2009
Issue published: January 2009

Rights and permissions

© 2009 National Academy of Sciences.
Request permissions for this article.

Authors

Affiliations

Sushant Sharma
Indian Institute of Technology Bombay, Mumbai 400076, India.
Satish V. Ukkusuri
Department of Civil and Environmental Engineering, Rensselaer Polytechnic Institute, Troy, NY 12061.
Tom V. Mathew
Indian Institute of Technology Bombay, Mumbai 400076, India.

Notes

Metrics and citations

Metrics

Journals metrics

This article was published in Transportation Research Record: Journal of the Transportation Research Board.

VIEW ALL JOURNAL METRICS

Article usage*

Total views and downloads: 124

*Article usage tracking started in December 2016


Altmetric

See the impact this article is making through the number of times it’s been read, and the Altmetric Score.
Learn more about the Altmetric Scores



Articles citing this one

Receive email alerts when this article is cited

Web of Science: 0

Crossref: 38

  1. Traffic assignment in urban transportation network problem with emissi...
    Go to citation Crossref Google Scholar
  2. Optimising Transit Networks Using Simulation-Based Techniques
    Go to citation Crossref Google Scholar
  3. Multiobjective Approach to the Transit Network Design Problem with Var...
    Go to citation Crossref Google Scholar
  4. Optimization of depreciation subsidy policy strategies for electric tw...
    Go to citation Crossref Google Scholar
  5. The resilience of logistics network against node failures
    Go to citation Crossref Google Scholar
  6. Public Transport Planning
    Go to citation Crossref Google Scholar
  7. Exact robust solutions for the combined facility location and network ...
    Go to citation Crossref Google Scholar
  8. Multicriteria decision optimization for the design and manufacture of ...
    Go to citation Crossref Google Scholar
  9. An equitable traffic signal control scheme at isolated signalized inte...
    Go to citation Crossref Google Scholar
  10. Implications of link-based equity objectives on transportation network...
    Go to citation Crossref Google Scholar
  11. Integrating uncertainty considerations into multi-objective transporta...
    Go to citation Crossref Google Scholar
  12. A Decision Support System for Proactive-Robust Traffic Network Managem...
    Go to citation Crossref Google Scholar
  13. Algorithm to Compute Urban Road Network Resilience
    Go to citation Crossref Google Scholar
  14. A Strategic User Equilibrium for Independently Distributed Origin-Dest...
    Go to citation Crossref Google Scholar
  15. The multi-objective network design problem using minimizing externalit...
    Go to citation Crossref Google Scholar
  16. Flexible Emergency Vehicle Network Design considering Stochastic Deman...
    Go to citation Crossref Google Scholar
  17. Game theoretical transportation network design among multiple regions
    Go to citation Crossref Google Scholar
  18. Pareto-improving transportation network design and ownership regimes
    Go to citation Crossref Google Scholar
  19. Optimal sustainable road plans using multi-objective optimization appr...
    Go to citation Crossref Google Scholar
  20. Stochastic capacity expansion models for airport facilities
    Go to citation Crossref Google Scholar
  21. An Improved Exact $\varepsilon$-Constraint and Cut-and-Solve Combined...
    Go to citation Crossref Google Scholar
  22. BI-LEVEL PROGRAMMING MODEL AND ALGORITHMS FOR STOCHASTIC NETWORK WITH ...
    Go to citation Crossref Google Scholar
  23. Sustainable Transportation Network Design with Stochastic Demands and ...
    Go to citation Crossref Google Scholar
  24. A bi-objective turning restriction design problem in urban road networ...
    Go to citation Crossref Google Scholar
  25. Bicriterion discrete equilibrium network design problem
    Go to citation Crossref Google Scholar
  26. Multi-objective transportation network design: Accelerating search by ...
    Go to citation Crossref Google Scholar
  27. Designing large-scale interactive traffic animations for urban modelin...
    Go to citation Crossref Google Scholar
  28. A surrogate-based multiobjective metaheuristic and network degradation...
    Go to citation Crossref Google Scholar
  29. The Chemical Reaction Optimization Approach to Solving the Environment...
    Go to citation Crossref Google Scholar
  30. Robust Transportation Network Design Modeling with Regret Value
    Go to citation Crossref Google Scholar
  31. Non-monetised multi-objective decision making system for road manageme...
    Go to citation Crossref Google Scholar
  32. Multi-objective optimization of traffic externalities using tolls
    Go to citation Crossref Google Scholar
  33. Transport Network Design Problem under Uncertainty: A Review and New D...
    Go to citation Crossref Google Scholar
  34. Multi-objective optimization of a road diet network design
    Go to citation Crossref Google Scholar
  35. Approximation Techniques for Transportation Network Design Problem und...
    Go to citation Crossref Google Scholar
  36. Comparison of evolutionary multi objective algorithms for the dynamic ...
    Go to citation Crossref Google Scholar
  37. Dynamic Traffic Management Measures to Optimize Air Quality, Climate, ...
    Go to citation Crossref Google Scholar
  38. An Integrated Dynamic Road Network Design Approach with Stochastic Net...
    Go to citation Crossref Google Scholar

Figures and tables

Figures & Media

Tables

View Options

Get access

Access options

If you have access to journal content via a personal subscription, university, library, employer or society, select from the options below:


Alternatively, view purchase options below:

Purchase 24 hour online access to view and download content.

Access journal content via a DeepDyve subscription or find out more about this option.

View options

PDF/ePub

View PDF/ePub