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Polyhedral methods for piecewise-linear functions I: the lambda method

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  • LEE, Jon
  • WILSON, Dan

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Suggested Citation

  • LEE, Jon & WILSON, Dan, 2001. "Polyhedral methods for piecewise-linear functions I: the lambda method," LIDAM Reprints CORE 1493, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:1493
    DOI: 10.1016/S0166-218X(00)00216-X
    Note: In : Discrete Applied Mathematics, 108, 269-285, 2001
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    Cited by:

    1. Benjamin Beach & Robert Hildebrand & Joey Huchette, 2022. "Compact mixed-integer programming formulations in quadratic optimization," Journal of Global Optimization, Springer, vol. 84(4), pages 869-912, December.
    2. de Vries, H. & van de Klundert, J.J. & Wagelmans, A.P.M., 2014. "The Roadside Healthcare Facility Location Problem," Econometric Institute Research Papers EI 2014-09, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    3. Juan Pablo Vielma, 2018. "Sloan School of Management, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139," Management Science, INFORMS, vol. 64(10), pages 4721-4734, October.
    4. Juan Pablo Vielma & Shabbir Ahmed & George Nemhauser, 2010. "Mixed-Integer Models for Nonseparable Piecewise-Linear Optimization: Unifying Framework and Extensions," Operations Research, INFORMS, vol. 58(2), pages 303-315, April.
    5. Birolini, Sebastian & Jacquillat, Alexandre & Cattaneo, Mattia & Antunes, António Pais, 2021. "Airline Network Planning: Mixed-integer non-convex optimization with demand–supply interactions," Transportation Research Part B: Methodological, Elsevier, vol. 154(C), pages 100-124.
    6. Silva, Thiago Lima & Camponogara, Eduardo, 2014. "A computational analysis of multidimensional piecewise-linear models with applications to oil production optimization," European Journal of Operational Research, Elsevier, vol. 232(3), pages 630-642.
    7. Srikrishna Sridhar & Jeffrey Linderoth & James Luedtke, 2014. "Models and solution techniques for production planning problems with increasing byproducts," Journal of Global Optimization, Springer, vol. 59(2), pages 597-631, July.
    8. Maier, Laura & Schönegge, Marius & Henn, Sarah & Hering, Dominik & Müller, Dirk, 2022. "Assessing mixed-integer-based heat pump modeling approaches for model predictive control applications in buildings," Applied Energy, Elsevier, vol. 326(C).
    9. Harwin de Vries & Joris van de Klundert & Albert P.M. Wagelmans, 2020. "The Roadside Healthcare Facility Location Problem A Managerial Network Design Challenge," Production and Operations Management, Production and Operations Management Society, vol. 29(5), pages 1165-1187, May.
    10. Jon Lee & Daphne Skipper & Emily Speakman & Luze Xu, 2023. "Gaining or Losing Perspective for Piecewise-Linear Under-Estimators of Convex Univariate Functions," Journal of Optimization Theory and Applications, Springer, vol. 196(1), pages 1-35, January.
    11. Rovatti, Riccardo & D’Ambrosio, Claudia & Lodi, Andrea & Martello, Silvano, 2014. "Optimistic MILP modeling of non-linear optimization problems," European Journal of Operational Research, Elsevier, vol. 239(1), pages 32-45.

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