Research

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Publications

  • On the aggregation of experts' information in Bonus-Malus systems (with JM Perez-Sanchez). To appear in ASTIN Bulletin (The Journal of the International Actuarial Association), 2017. DOI: https://doi.org/10.1017/asb.2017.25
  • Minimum Spanning Trees with Neighborhoods: Mathematical Programming formulations and solution methods (with E. Fernández and J. Puerto). To appear in European J. of Operational Research. 2017.
  • Continuous location under the effect of reffraction (with J. Puerto and D Ponce). Mathematical Programming. Mathematical Programming 161 (1-2), 33-72. 2017
  • Small samples in linear regression: micronumerosity (with R. Salmerón). Rect@ 17 (2016), 167-177.
  • Continuous multifacility ordered median location problems (with S. El-Haj Ben-ali and J. Puerto). European J. of Operational Research 250(1), 56–64 (2016).
  • Short rational generating functions for solving some families of fuzzy integer programming problems (with J. Puerto). Fuzzy Sets and Systems 272, 30-46 (2015).
  • Revisiting several problems and algorithms in Continuous Location with l_p-norms (with S. El-Haj Ben-ali and J. Puerto). Computational Optimization and Applications 58(3) 563-595 (2014).
  • A semidefinite programming approach for solving Multiobjective Linear Programming (with J. Puerto and S. El-Haj Ben-Ali ). J. of Global Optimization 58 (3), 465-480 (2014).
  • Irreducible numerical semigroups with multiplicity three and four. Semigroup Forum 87 (2), 407-427 (2013).
  • Minimizing ordered weighted averaging of rational functions with applications to Continuous Location (with S. El-Haj Ben-Ali and J. Puerto). Computers & Operations Research 40, 1448-1460 (2013).
  • An Application of Integer Programming to the Decomposition of Numerical Semigroups. (with J. Puerto). SIAM J. Discrete Math., 26(3), 1210–1237. (2012).
  • The set of numerical semigroups of a given genus (with J.C. Rosales). Semigroup Forum 85 (2), 255-267. (2012).
  • On the enumeration of the set of numerical semigroups with fixed Frobenius number (with J.C. Rosales). Computers & Mathematics With Applications 63 (7), 1204-1211 (2012).
  • The tree of irreducible numerical semigroups with fixed Frobenius number (with J.C. Rosales). Forum Mathematicum 25, 1249-1261 (2013)
  • A mathematical programming approach to the computation of the omega invariant of a numerical semigroup . Eur. Journal of Oper. Research 215 (3), 539-550 (2011).
  • Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids (with P.A. García-Sánchez and A. Geroldinger). Illinois J. of Math. 55 (4), 1385-1414. (2011).
  • A new complexity result on multiobjective linear integer programming using short rational generating functions (with J. Puerto). Optimization Letters 6 (3), 537-543 (2012).
  • Irreducibility in the set of numerical semigroups with fixed multiplicity (with J.C. Rosales). Int. J. of Algebra and Computation 21 (5), 731-744 (2011).
  • Counting numerical semigroups with short generating functions (with P.A. Garcia-Sanchez and J. Puerto). Int. J. of Algebra and Computation 21 (7), 1217-1235 (2011)
  • Some algebraic methods for solving multiobjective polynomial integer programs (with J. Puerto). J. of Symb. Comp. 46 (4) 511-533 (2011).
  • Expanding the Spanish high-speed railway network. (with J. Puerto and A.B. Ramos). Omega 39 (2), 138-150 (2011). Difusión
  • Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids (with P.A. García-Sánchez and A. Geroldinger). CIRM 2 (2), 95-98 (2010). Troisieme rencontre internationale sur les polynomes a veleurs entieres.
  • Planning for agricultural forage harvesters and trucks: model, heuristics, and case study (with L. Carpente, Y. Hinojosa and J. Puerto). Networks and Spatial Economics 10 (3) 321-343 (2010).
  • Partial Gröbner Basis for Multiobjective Combinatorial Optimization (with J. Puerto). SIAM J. on Discrete Mathematics 23. (2) 571-595 (2009)
  • A Full and faithful Nerve for 2-categories (with M. Bullejos and E. Faro). Applied Categorical Structures 13 (3), 223-233, (2005) .
  • Categorical non abelian cohomology, and the Schreier theory of groupoids (with M. Bullejos and E. Faro). Math. Z. 251 (1), 41-49, (2005).

Talks

  1. Locating hyperplanes to fitting set of points. 21st IFORS. Quebec City, July 2017.
  2. Discrete Ordered Median Problems with Neighborhoods. ISOLDE XIV. Toronto/Huntsville, July 2017.
  3. Locational Uncertainty in some Combinatorial Optimization Problems, VI IBERO-AMERICAN CONGRESS ON OPERATIONS RESEARCH AND MANAGEMENT SCIENCES (IOCA 2017), Barranquilla , Colombia, March 2017.
  4. Minimum spanning trees with Neighborhoods, Congreso RSME 2017. Zaragoza, February 2017.
  5. Facility Locational Uncertainty in Discrete Ordered p-Median Problems. Seminar on Optimization, Sevilla, December 2016.
  6. On minimum spanning trees with norm-based neighborhoods. XVIII CLAIO. Santiago de Chile, October, 2016.
  7. A mathematical programming model for line planning in subway networks. XVIII CLAIO. Santiago de Chile, October, 2016.
  8. Inverse-friendly Multiobjective Programs. Seminario Desafios de la Matemática combinatoria. Antequera, April 2016.
  9. Continuous Facility Location Problems, PreDoc Course on Operations Research, Sevilla, November 2015.
  10. MINLP Approaches for Minimum Spanning Trees with Neighborhoods, XXIII Euro Working Group on Locational Analysis, Malaga, September 2016.
  11. Multisource Linear Regression, VI International Workshop on Locational Analysis and Related Problems, Barcelona, November 2015.
  12. Alternative Methods for Linear Regression. ISMP 2015. Pittsburgh, July 2015.
  13. Continuous location under the effect of refraction. ISMP 2015. Pittsburgh, July 2015.
  14. A location-based approach to linear regression. SEIO 2015. Pamplona, May 2015.
  15. Flexible Bonus-Malus Systems induced by OWA optimization. RISK 2015, Barcelona, May 2015.
  16. Localización Continua: Momentos, Sumas de Cuadrados y Programación Semidefinida. RMSE 2015, Granada, Febrero 2015.
  17. SOCP formulations for continuous location under Refraction. INFORMS 2014 Annual Meeting, San Francisco, November 2014.
  18. Continuous Location under Refraction. ISOLDE/EWGLA Conference, Naples & Capri, June 2014.
  19. Flexible Linear Regression. ASEPELT 2014. Málaga, October 2014.
  20. Bonus-Malus Systems under OWA operators. ASEPELT 2014. Málaga, October 2014.
  21. On continuous location with region-dependent lp distances. International Workshop on Locational Analysis and Related Problems. Sevilla, October, 2014.
  22. Continuous Multifacility Ordered Median Location Problems. 20th IFORS, Barcelona, July 2014..
  23. A Unifffied Approach for Solving Continuous Multifacility Ordered Median Location Problems. SIAM Optimization, San Diego, California May 2014.
  24. Exploiting Symmetries in Multifacility Location. Cuarta Reunión del Proyecto de Excelencia de la Junta de Andalucía FQM-5849. Priego de Córdoba, 2013.
  25. An unified approach for continuous lp ordered median single-facility location problems. SEIO 2013, Castellón, Septiembre 2013.
  26. A semidefinite programming approach for solving mutiobjective linear programming. SEIO 2013, Castellón, Septiembre 2013.
  27. An interior point-based method to solve multiobjective linear programs. EURO 2013. Roma, Julio 2013.
  28. A Semidefinite Programming Approach for Solving Multiobjective Linear Programming. International Conference on Multicriteria Decision Making 2013, Málaga.
  29. Algunas Aplicaciones de la Optimización Discreta en Álgebra Computacional. RSME 2013, Santiago de Compostela.
  30. 25 minutes on polynomials, SDP and Loaction Theory. RSME 2013, Santiago de Compostela.
  31. Localización y Problemas Afines: Algoritmos y Aplicaciones. Seminario MCEE 2012-2013. Granada, December , 2012.
  32. Applications of discrete optimization to numerical semigroups. ISMP 2012, Berlin, Germany, August 2012.
  33. A hierarchy of SDP-relaxations for multifacility ordered median location problems. EURO 2012. Vilnius, Lituania, July 2012.
  34. A semidefinite programming approach for solving mutiobjective linear programming. SEIO 2012. Madrid, April 2012.
  35. Continuous Location, Polynomials and Semidefinite Programming. INFORMS 2011 Annual Meeting, Charlotte, NC, USA, November 2011.
  36. An Integer programming approach to some problems in Numerical Semigroups. INFORMS 2011 Annual Meeting, Charlotte, NC, USA, November 2011.
  37. The Kunz-coordinates vectors of a numerical semigroup. I Congreso de Jóvenes Investigadores de la RSME. Soria, Spain, September, 2011.
  38. A semidefinite programming approach for location problems. International Conference on Operations Research 2011. Zurich, Switzerland, August 2011.
  39. Numerical Semigroups and Discrete Optimization. IFORS 2011. Melbourne, Australia, July 2011.
  40. Descomposiciones Minimales en semigrupos numéricos m-irreducibles. Seminario de Semigrupos Numéricos. Cádiz, Spain, April 2011.
  41. Some algebraic methods for solving multiobjective discrete optimization problems. Exploratory Worshop on Mixed Integer Non-Linear Programming. December 2010, Sevilla, Spain. (poster)
  42. Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids.(with P. Garcia-Sanchez & A. Geroldnger). Third International Meeting on Integer-Valued Polynomials. November 2010, Luminy, Marseille, France.
  43. Applications of Discrete Optimization in Commutative Algebra. Toric Geometry Seminar 2010. Jarandilla de la Vera, Cáceres, Spain
  44. Programación Entera en Álgebra Conmutativa.. XXXII Congreso de Estadística e Investigación Operativa, September 2010, A Coruña.
  45. A new complexity result on multiobjective integer programming.. XXIV EURO European Conference of Operational Research. Lisbon, Portugal, July 2010.
  46. Generating functions for counting numerical semigroups of a given genus. Iberian meeting on numerical semigroups. Granada (Spain). January, 2010.
  47. On the complexity of some fuzzy integer programs. The Pyrenees International Workshop on Statistics, Probability and Operations Research. Jaca (Huesca), September 2009
  48. An algebraic approach to fuzzy integer programming. 20th International Symposium on Mathematical Programming (ISMP). Chicago, August 2009.
  49. Solving multiobjective integel linear programs using short generating functions. 20th International Conference on Multicriteria Decision Making (MCDM). Chengdú (China), June 2009.
  50. Planning Routes for Harvesters and Trucks in an Agricultural Cooperative.XXXI Congreso Nacional de Estadística e Investigación Operativa. February 2009. Murcia.
  51. Resolución de Problemas Multiobjetivo Polinómicos Discretos con Bases de Gröbner. XXXI Congreso Nacional de Estadística e Investigación Operativa. February 2009. Murcia.
  52. Solving an actual optimization routing problem for an agricultural cooperative. EURO Working Group on Locational Analysis (EWGLA) 2008. Elche (Alicante), 15-19 September 2008.
  53. Multiobjective Polynomial Integer Programming using Groebner Bases. Conference on Applications of Computer Algebra. Linz (Austria), 27-30 July de 2008.
  54. Soluciones algebraicas a la resolución de problemas combinatorios multiobjetivo. Seminario “Desafíos de la Matemática Combinatoria”. Sevilla, 17 June de 2008.
  55. Short Rational Generating Functions For Multiobjective Linear Integer Programming. Conferencia Internacional sobre Álgebra Conmutativa, Combinatoria y Computacional en Memoria de Pilar Pisón casares. Sevilla, 11-16 February 2008.
  56. Bases de Gröbner Parciales y programación combinatoria multiobjetivo. IV Seminario de Geometría Tórica. Jarandilla de la Vera (Cáceres), 15-18 November 2007.
  57. Funciones racionales cortas de Barvinok para la resolución de problemas de programación entera biobjetivo. XXX Congreso de la Sociedad de Estadística e Investigación Operativa. Valladolid 24-29 September 2007.
  58. Nuevos enfoques de la optimización combinatoria multiobjetivo. Reunión de la Red Temática de De cisión Multicriterio . Sevilla, May 2007.
  59. Bases de Gröbner Parciales y programación entera multiobjetivo. Seminario del Departamento de Álgebra de la Universidad de Sevilla. Sevilla, December 2006.
  60. El plan de extensión optimo de la red ferroviaria de alta velocidad. XXIX Congreso de la Sociedad de Estadística e Investigación Operativa. Tenerife, Mayo 2006.
  61. El plan de extensión óptimo de la red ferroviaria espa~nola. VIII Congreso de la Asociación Andaluza de Ciencia Regional. Granada, Marzo 2006.

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