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Approximation of convex curves with application to the bicriterial minimum cost flow problem

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  • Fruhwirth, B.
  • Bukkard, R. E.
  • Rote, G.

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  • Fruhwirth, B. & Bukkard, R. E. & Rote, G., 1989. "Approximation of convex curves with application to the bicriterial minimum cost flow problem," European Journal of Operational Research, Elsevier, vol. 42(3), pages 326-338, October.
    • Handle: RePEc:eee:ejores:v:42:y:1989:i:3:p:326-338
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    Cited by:

    1. Siem, A.Y.D. & den Hertog, D. & Hoffmann, A.L., 2005. "Multivariate Convex Approximation and Least-Norm Convex Data-Smoothing," Discussion Paper 2005-132, Tilburg University, Center for Economic Research.
    2. Siem, A.Y.D. & den Hertog, D. & Hoffmann, A.L., 2008. "The effect of transformations on the approximation of univariate (convex) functions with applications to Pareto curves," European Journal of Operational Research, Elsevier, vol. 189(2), pages 347-362, September.
    3. Quariguasi Frota Neto, J. & Walther, G. & Bloemhof, J. & van Nunen, J.A.E.E. & Spengler, T., 2009. "A methodology for assessing eco-efficiency in logistics networks," European Journal of Operational Research, Elsevier, vol. 193(3), pages 670-682, March.
    4. Siem, A.Y.D. & den Hertog, D. & Hoffmann, A.L., 2007. "A Method For Approximating Univariate Convex Functions Using Only Function Value Evaluations," Other publications TiSEM a3afe119-3957-4700-a895-4, Tilburg University, School of Economics and Management.
    5. A. Y. D. Siem & D. den Hertog & A. L. Hoffmann, 2011. "A Method for Approximating Univariate Convex Functions Using Only Function Value Evaluations," INFORMS Journal on Computing, INFORMS, vol. 23(4), pages 591-604, November.
    6. Liu, Y. & Teo, K. L. & Yang, X. Q., 1999. "Approximation methods for non-convex curves," European Journal of Operational Research, Elsevier, vol. 117(1), pages 125-135, August.
    7. Xie, Chi & Travis Waller, S., 2012. "Parametric search and problem decomposition for approximating Pareto-optimal paths," Transportation Research Part B: Methodological, Elsevier, vol. 46(8), pages 1043-1067.
    8. Rasmus Bokrantz & Anders Forsgren, 2013. "An Algorithm for Approximating Convex Pareto Surfaces Based on Dual Techniques," INFORMS Journal on Computing, INFORMS, vol. 25(2), pages 377-393, May.
    9. Dung-Ying Lin & Chi Xie, 2011. "The Pareto-optimal Solution Set of the Equilibrium Network Design Problem with Multiple Commensurate Objectives," Networks and Spatial Economics, Springer, vol. 11(4), pages 727-751, December.
    10. Rainer E. Burkard & Horst W. Hamacher & Günter Rote, 1991. "Sandwich approximation of univariate convex functions with an application to separable convex programming," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(6), pages 911-924, December.
    11. Siem, A.Y.D. & den Hertog, D. & Hoffmann, A.L., 2007. "A Method For Approximating Univariate Convex Functions Using Only Function Value Evaluations," Discussion Paper 2007-67, Tilburg University, Center for Economic Research.
    12. Hamacher, Horst W. & Pedersen, Christian Roed & Ruzika, Stefan, 2007. "Multiple objective minimum cost flow problems: A review," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1404-1422, February.
    13. Safer, Hershel M. & Orlin, James B., 1953-, 1995. "Fast approximation schemes for multi-criteria combinatorial optimization," Working papers 3756-95., Massachusetts Institute of Technology (MIT), Sloan School of Management.

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