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Linear Programming Models for the User and System Optimal Dynamic Network Design Problem: Formulations, Comparisons and Extensions

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  • Satish Ukkusuri
  • S. Waller

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  • Satish Ukkusuri & S. Waller, 2008. "Linear Programming Models for the User and System Optimal Dynamic Network Design Problem: Formulations, Comparisons and Extensions," Networks and Spatial Economics, Springer, vol. 8(4), pages 383-406, December.
    • Handle: RePEc:kap:netspa:v:8:y:2008:i:4:p:383-406
    DOI: 10.1007/s11067-007-9019-6
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    References listed on IDEAS

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    1. John R. Birge & James K. Ho, 1993. "Optimal Flows in Stochastic Dynamic Networks with Congestion," Operations Research, INFORMS, vol. 41(1), pages 203-216, February.
    2. Daganzo, Carlos F., 1995. "The cell transmission model, part II: Network traffic," Transportation Research Part B: Methodological, Elsevier, vol. 29(2), pages 79-93, April.
    3. T. L. Magnanti & R. T. Wong, 1984. "Network Design and Transportation Planning: Models and Algorithms," Transportation Science, INFORMS, vol. 18(1), pages 1-55, February.
    4. Chaisak Suwansirikul & Terry L. Friesz & Roger L. Tobin, 1987. "Equilibrium Decomposed Optimization: A Heuristic for the Continuous Equilibrium Network Design Problem," Transportation Science, INFORMS, vol. 21(4), pages 254-263, November.
    5. Terry L. Friesz & Hsun-Jung Cho & Nihal J. Mehta & Roger L. Tobin & G. Anandalingam, 1992. "A Simulated Annealing Approach to the Network Design Problem with Variational Inequality Constraints," Transportation Science, INFORMS, vol. 26(1), pages 18-26, February.
    6. Suvrajeet Sen & Julia L. Higle, 1999. "An Introductory Tutorial on Stochastic Linear Programming Models," Interfaces, INFORMS, vol. 29(2), pages 33-61, April.
    7. S. Waller & Athanasios Ziliaskopoulos, 2006. "A Combinatorial user optimal dynamic traffic assignment algorithm," Annals of Operations Research, Springer, vol. 144(1), pages 249-261, April.
    8. Abdulaal, Mustafa & LeBlanc, Larry J., 1979. "Continuous equilibrium network design models," Transportation Research Part B: Methodological, Elsevier, vol. 13(1), pages 19-32, March.
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