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Formulating logical implications in combinatorial optimisation

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  • Plastria, Frank

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  • Plastria, Frank, 2002. "Formulating logical implications in combinatorial optimisation," European Journal of Operational Research, Elsevier, vol. 140(2), pages 338-353, July.
    • Handle: RePEc:eee:ejores:v:140:y:2002:i:2:p:338-353
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    References listed on IDEAS

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    1. Wilson, J. M., 1990. "Generating cuts in integer programming with families of special ordered sets," European Journal of Operational Research, Elsevier, vol. 46(1), pages 101-108, May.
    2. Kyungchul Park & Kyungsik Lee & Sungsoo Park & Heesang Lee, 2000. "Telecommunication Node Clustering with Node Compatibility and Network Survivability Requirements," Management Science, INFORMS, vol. 46(3), pages 363-374, March.
    3. K E Rosing & C S ReVelle, 1986. "Optimal Clustering," Environment and Planning A, , vol. 18(11), pages 1463-1476, November.
    4. Mitra, G. & Lucas, C. & Moody, S. & Hadjiconstantinou, E., 1994. "Tools for reformulating logical forms into zero-one mixed integer programs," European Journal of Operational Research, Elsevier, vol. 72(2), pages 262-276, January.
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    Cited by:

    1. Raf Jans, 2009. "Solving Lot-Sizing Problems on Parallel Identical Machines Using Symmetry-Breaking Constraints," INFORMS Journal on Computing, INFORMS, vol. 21(1), pages 123-136, February.
    2. Carrizosa, E. & Martin-Barragán, B. & Plastria, F. & Romero Morales, M.D., 2002. "A Dissimilarity-based approach for Classification," Research Memorandum 027, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    3. Scott P. Stevens & Susan W. Palocsay, 2017. "Teaching Use of Binary Variables in Integer Linear Programs: Formulating Logical Conditions," INFORMS Transactions on Education, INFORMS, vol. 18(1), pages 28-36, September.
    4. Daniel Aloise & Pierre Hansen, 2011. "Evaluating a branch-and-bound RLT-based algorithm for minimum sum-of-squares clustering," Journal of Global Optimization, Springer, vol. 49(3), pages 449-465, March.
    5. Frank Plastria & Lieselot Vanhaverbeke, 2007. "Aggregation without Loss of Optimality in Competitive Location Models," Networks and Spatial Economics, Springer, vol. 7(1), pages 3-18, March.
    6. Plastria, F., 2012. "A note towards improved homeland defense," Omega, Elsevier, vol. 40(2), pages 244-248, April.
    7. Roe, R.A. & Smeelen, M. & Hoefeld, C., 2005. "Outsourcing and organizational change : an employee perspective," Research Memorandum 045, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    8. Jan Pablo Burgard & Carina Moreira Costa & Christopher Hojny & Thomas Kleinert & Martin Schmidt, 2023. "Mixed-integer programming techniques for the minimum sum-of-squares clustering problem," Journal of Global Optimization, Springer, vol. 87(1), pages 133-189, September.
    9. Emilio Carrizosa & Belén Martín-Barragán & Frank Plastria & Dolores Romero Morales, 2007. "On the Selection of the Globally Optimal Prototype Subset for Nearest-Neighbor Classification," INFORMS Journal on Computing, INFORMS, vol. 19(3), pages 470-479, August.
    10. Espejo, Inmaculada & Marín, Alfredo & Rodríguez-Chía, Antonio M., 2012. "Closest assignment constraints in discrete location problems," European Journal of Operational Research, Elsevier, vol. 219(1), pages 49-58.
    11. Costa, Alberto, 2015. "MILP formulations for the modularity density maximization problem," European Journal of Operational Research, Elsevier, vol. 245(1), pages 14-21.
    12. Bronfman, Andrés & Marianov, Vladimir & Paredes-Belmar, Germán & Lüer-Villagra, Armin, 2015. "The maximin HAZMAT routing problem," European Journal of Operational Research, Elsevier, vol. 241(1), pages 15-27.
    13. Duchenne, Éric & Laporte, Gilbert & Semet, Frédéric, 2012. "The undirected m-Capacitated Peripatetic Salesman Problem," European Journal of Operational Research, Elsevier, vol. 223(3), pages 637-643.
    14. Tammy Drezner, 2009. "Location of retail facilities under conditions of uncertainty," Annals of Operations Research, Springer, vol. 167(1), pages 107-120, March.
    15. Federico Della Croce, 2016. "MP or not MP: that is the question," Journal of Scheduling, Springer, vol. 19(1), pages 33-42, February.
    16. Rumen Andonov & Stefan Balev & Nicola Yanev, 2004. "Protein Threading: From Mathematical Models to Parallel Implementations," INFORMS Journal on Computing, INFORMS, vol. 16(4), pages 393-405, November.
    17. Sergio García & Valentina Cacchiani & Lieselot Vanhaverbeke & Martin Bischoff, 2014. "The table placement problem: a research challenge at the EWI 2007," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 208-226, April.

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