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A fuzzy set-based approach to origin–destination matrix estimation in urban traffic networks with imprecise data

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  • Foulds, Les R.
  • do Nascimento, Hugo A.D.
  • Calixto, Iacer C.A.C.
  • Hall, Bryon R.
  • Longo, Humberto

Abstract

An important issue in the management of urban traffic networks is the estimation of origin–destination (O–D) matrices whose entries represent the travel demands of network users. We discuss the challenges of O–D matrix estimation with incomplete, imprecise data. We propose a fuzzy set-based approach that utilises successive linear approximation. The fuzzy sets used have triangular membership functions that are easy to interpret and enable straightforward calibration of the parameters that weight the discrepancy between observed data and those predicted by the proposed approach. The method is potentially useful when prior O–D matrix entry estimates are unavailable or scarce, requiring trip generation information on origin departures and/or destination arrivals, leading to multiple modelling alternatives. The method may also be useful when there is no O–D matrix that can be user-optimally assigned to the network to reproduce observed link counts exactly. The method has been tested on some numerical examples from the literature and the results compare favourably with the results of earlier methods. It has also been successfully used to estimate O–D matrices for a practical urban traffic network in Brazil.

Suggested Citation

  • Foulds, Les R. & do Nascimento, Hugo A.D. & Calixto, Iacer C.A.C. & Hall, Bryon R. & Longo, Humberto, 2013. "A fuzzy set-based approach to origin–destination matrix estimation in urban traffic networks with imprecise data," European Journal of Operational Research, Elsevier, vol. 231(1), pages 190-201.
    • Handle: RePEc:eee:ejores:v:231:y:2013:i:1:p:190-201
    DOI: 10.1016/j.ejor.2013.05.012
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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Codina, Esteve & Garcia, Ricardo & Marin, Angel, 2006. "New algorithmic alternatives for the O-D matrix adjustment problem on traffic networks," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1484-1500, December.
    3. Codina, Esteve & Barcelo, Jaume, 2004. "Adjustment of O-D trip matrices from observed volumes: An algorithmic approach based on conjugate directions," European Journal of Operational Research, Elsevier, vol. 155(3), pages 535-557, June.
    4. Rommelfanger, Heinrich, 1996. "Fuzzy linear programming and applications," European Journal of Operational Research, Elsevier, vol. 92(3), pages 512-527, August.
    5. Sherali, Hanif D. & Narayanan, Arvind & Sivanandan, R., 2003. "Estimation of origin-destination trip-tables based on a partial set of traffic link volumes," Transportation Research Part B: Methodological, Elsevier, vol. 37(9), pages 815-836, November.
    6. Mingyuan Chen & Attahiru Sule Alfa, 1991. "A Network Design Algorithm Using a Stochastic Incremental Traffic Assignment Approach," Transportation Science, INFORMS, vol. 25(3), pages 215-224, August.
    7. Yang, Hai, 1995. "Heuristic algorithms for the bilevel origin-destination matrix estimation problem," Transportation Research Part B: Methodological, Elsevier, vol. 29(4), pages 231-242, August.
    8. F. Palacios-Gomez & L. Lasdon & M. Engquist, 1982. "Nonlinear Optimization by Successive Linear Programming," Management Science, INFORMS, vol. 28(10), pages 1106-1120, October.
    9. García-Ródenas, Ricardo & Marín, Ángel, 2009. "Simultaneous estimation of the origin-destination matrices and the parameters of a nested logit model in a combined network equilibrium model," European Journal of Operational Research, Elsevier, vol. 197(1), pages 320-331, August.
    10. Ying, Jiang Qian & Lu, Huapu & Shi, Jing, 2007. "An algorithm for local continuous optimization of traffic signals," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1189-1197, September.
    11. Garcia-Rodenas, Ricardo & Verastegui-Rayo, Doroteo, 2008. "A column generation algorithm for the estimation of origin-destination matrices in congested traffic networks," European Journal of Operational Research, Elsevier, vol. 184(3), pages 860-878, February.
    12. Xie, Chi & Travis Waller, S., 2012. "Stochastic traffic assignment, Lagrangian dual, and unconstrained convex optimization," Transportation Research Part B: Methodological, Elsevier, vol. 46(8), pages 1023-1042.
    13. Yang, Hai & Sasaki, Tsuna & Iida, Yasunori & Asakura, Yasuo, 1992. "Estimation of origin-destination matrices from link traffic counts on congested networks," Transportation Research Part B: Methodological, Elsevier, vol. 26(6), pages 417-434, December.
    14. Sherali, Hanif D. & Sivanandan, R. & Hobeika, Antoine G., 1994. "A linear programming approach for synthesizing origin-destination trip tables from link traffic volumes," Transportation Research Part B: Methodological, Elsevier, vol. 28(3), pages 213-233, June.
    15. Van Zuylen, Henk J. & Willumsen, Luis G., 1980. "The most likely trip matrix estimated from traffic counts," Transportation Research Part B: Methodological, Elsevier, vol. 14(3), pages 281-293, September.
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