My work focuses on the development of optimization methodologies for solving mixed integer optimization problems. These problems appear naturally in various situations where organizations need to make decisions that have a discrete nature. Examples of those situations are: the design of logistic networks, the deployment of cloud computing infrastructures, and the design of electricity networks systems. These three examples are at the center of my current research work. I am also actively working on the implementation and testing of my methodological results. That work usually becomes open source optimization software available for those having interests on testing new ideas or solving real problems.
- Rezaeinia, N., Góez, J.C., Guajardo, M., Efficiency and fairness criteria in the assignment of students to projects. Forthcoming at Annals of Operations Research.
- Gu, Y., Góez, J.C., Guajardo, M., Wallace, S.W., Autonomous vessels: State of the art and potential opportunities in logistics. International Transactions in Operational Research, Volume 28, Issue 4, July 2021.[DOI]
- Góez, J.C., Anjos, M.F., Second-Order Cone Optimization Formulations for Service System Design Problems with Congestion. In Pinér, J.D., Terlaky, T. (editors), Modeling and Optimization: Theory and Applications, Volume 279 of Springer Proceedings in Mathematics & Statistics, Pages 97 - 120; 2019. [DOI].
- Shahabsafa, M., Góez, J.C., Terlaky, T., On Pathological Disjunctions and Redundant Disjucntive Conic Cuts. Operations Research Letters, Volume 46, Issue 5, September 2018 [DOI].
- Pérez, J.F., Silva, D., Góez, J.C., Sarmiento, A., Sarmiento A., Akhavan, R., Riaño, G.,jMarkov: an integrated framework for Markov chain modeling. ACM Transactions on Mathematical Software (TOMS), Volume 43, Issue 3, January 2017 [DOI].
- Belotti, P., Góez, J.C., Pólik, I., Ralphs, T., Terlaky, T., A complete characterization of disjunctive conic cuts for mixed integer second order cone optimization. Discrete Optimization, Volume 24, 2017, Pages 3 - 31 [DOI].
- Belotti, P., Góez, J.C., Pólik, I., Ralphs, T., and Terlaky, T., A conic representation of the convex hull of disjunctive sets and conic cuts for integer second order cone optimization. In Al-Baali, M., Grandinetti, L., and Purnama, A. (editors), Numerical Analysis and Optimization: NAO-III, Muscat, Oman, January 2014, Volume 134 of Springer Proceedings in Mathematics & Statistics, Pages 1 - 35. Springer International Publishing, 2015 [DOI].
- Belotti, P., Góez, J.C., Pólik, I., Ralphs, T., and Terlaky, T., On families of quadratic surfaces having fixed intersections with two hyperplanes. Discrete Applied Mathematics, Volume 161, Issues 16 - 17, November, Pages 2778 - 2793, 2013 [DOI].
- Riaño, G., Góez, J.C., jMarkov: An object-oriented framework for modeling and analyzing Markov chains and QBDs, ACM International Conference Proceeding Series, Vol. 201, Proceeding from the 2006 workshop on tools for solving structured Markov chains, Article No.6, October 10, 2006, Pisa, Italy [DOI].
- Góez, J.C., Luedtke, J., Rajan, D., Kalagnanam, J., Stochasic Unit Committment Problem.
Last updated on February 15, 2021