The following publications describe BARON, its methodology, and various applications:

- Ryoo, H. S. and N. V. Sahinidis, Global optimization of nonconvex NLPs and MINLPs with applications in process design,
__Computers & Chemical Engineering__, 19:551-566, 1995. - Dorneich, M. C. and N. V. Sahinidis, Global optimization algorithms for chip layout and compaction,
__Engineering Optimization__, 25:131-154, 1995. - Gutierrez, R. A. and N. V. Sahinidis, A branch-and-bound approach for machine selection in just-in-time manufacturing systems,
__International Journal of Production Research__, 34:797-818, 1996. - Sahinidis, N. V., BARON: A general purpose global optimization software package,
__Journal of Global Optimization__, 8:201-205, 1996. - Ryoo, H. S. and N. V. Sahinidis, A branch-and-reduce approach to global optimization,
__Journal of Global Optimization__, 8:107-139, 1996. - Liu, M. L. and N. V. Sahinidis, Process planning in a fuzzy environment,
__European Journal of Operational Research__, 100:142-169, 1997. - Ghildyal, V., Design and development of a global optimization system, Master's thesis, Department of Mechanical & Industrial Engineering, University of Illinois, Urbana, IL, 1997.
- VanAntwerp, J. G., R. D. Braatz, and N. V. Sahinidis, Globally optimal robust control for systems with nonlinear time-varying perturbations,
__Computers & Chemical Engineering__, 21:S125--S130, 1997. - Shectman, J. P. and N. V. Sahinidis, A finite algorithm for global minimization of separable concave programs,
__Journal of Global Optimization__, 12:1-36, 1998. - Adhya, N., M. Tawarmalani, and N. V. Sahinidis, A Lagrangian approach to the pooling problem,
__Industrial & Engineering Chemistry Research__, 38:1956-1972, 1999. - Ryoo, H. S. and N. V. Sahinidis, Analysis of bounds for multilinear functions,
__Journal of Global Optimization__, 19:403-424, 2001. - M. Tawarmalani and N. V. Sahinidis, Semidefinite relaxations of fractional programs via novel convexification techniques,
__Journal of Global Optimization__, 20:137-158, 2001. - M. Tawarmalani and N. V. Sahinidis, Convex extensions and envelopes of lower semi-continuous functions,
__Mathematical Programming__, 93:247-263, 2002. - Tawarmalani, M. and N. V. Sahinidis, Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming: Theory, Algorithms, Software, and Applications, 504 pages, Kluwer Academic Publishers, Dordrecht, Vol. 65 in "Nonconvex Optimization And Its Applications" series, 2002. Compare prices at addall.com.
- Vaia, A. and N. V. Sahinidis, Simultaneous parameter estimation and model structure determination in FTIR spectroscopy by global MINLP optimization,
__Computers & Chemical Engineering__, 27:763-779, 2003. - Ryoo, H. S. and N. V. Sahinidis, Global optimization of multiplicative programs,
__Journal of Global Optimization__, 26:387-418, 2003. - Sahinidis, N. V., M. Tawarmalani, and M. Yu, Design of alternative refrigerants via global optimization,
__AIChE J.__, 49:1761-1775, 2003. - Tawarmalani, M. and N. V. Sahinidis, Global optimization of mixed-integer nonlinear programs: A theoretical and computational study,
__Mathematical Programming__, 99:563-591, 2004. - Ahmed, S., M. Tawarmalani, and N. V. Sahinidis, A finite branch-and-bound algorithm for two-stage stochastic integer programming,
__Mathematical Programming__, 100:355-377, 2004. - Sahinidis, N. V. and M. Tawarmalani, Accelerating branch-and-bound through a modeling language construct for relaxation-specific constraints,
__Journal of Global Optimization__, 32:259-280, 2005. - Tawarmalani, M. and N. V. Sahinidis, A polyhedral branch-and-cut approach to global optimization,
__Mathematical Programming__, 103:225-249, 2005. - Chang, Y. and N. V. Sahinidis, Global optimization in stabilizing controller design,
__Journal of Global Optimization__, 38:509-526, 2007. - Bao, X., N. V. Sahinidis, and M. Tawarmalani, Multiterm polyhedral relaxations for nonconvex, quadratically-constrained quadratic programs,
__Optimization Methods and Software__, 24:485-504, 2009. - Samudra, A. and N. V. Sahinidis, Design of secondary refrigerants: A combined optimization-enumeration approach, in M. M. El-Halwagi and A. A. Linninger (eds.):
__Proceedings of the 7th International Conference on the Foundations of Computer-Aided Process Design, CRC Press__, pp. 879-886, 2009. - Bao, X. and N. V. Sahinidis, Finite algorithms for global minimization of separable concave programs, in T. Coleman and P. Pardalos (eds.), Workshop on Global Optimization,
__Fields Institute Communications__, Vol. 55, American Mathematical Society, pp. 17-30, 2009. - Rios, L. M. and N. V. Sahinidis, Portfolio optimization for wealth-dependent risk preferences,
__Annals of Operations Research__, 177, 63-90, 2010. - Bao, X., N. V. Sahinidis and M. Tawarmalani, Semidefinite relaxations for quadratically constrained quadratic programming: A review and comparisons,
__Mathematical Programming__, 129:129-157, 2011. - Chang, Y. and N. V. Sahinidis, Steady-state process optimization with guaranteed robust stability under parametric uncertainty,
__AIChE Journal__, 57:3395-3407, 2011. - Khajavirad, A. and N. V. Sahinidis, Convex envelopes generated from finitely many compact convex sets,
__Mathematical Programming__, 137:371-408, 2013. - Khajavirad, A. and N. V. Sahinidis, Convex envelopes of products of convex and component-wise concave functions,
__Journal of Global Optimization__, 52:391-409, 2012. - Amaran, S. and N. V. Sahinidis, Global optimization of nonlinear least-squares problems by branch-and-bound and optimality constraints,
__Top__, 20:154–172, 2012. - Samudra, A. and N. V. Sahinidis, Optimization-based framework for computer-aided molecular design,
__AIChE Journal__, 59:3686-3701, 2013. - Zorn, K. and N. V. Sahinidis, Global optimization of general nonconvex problems with intermediate bilinear substructures,
__Optimization Methods and Software__, 29:442-462, 2013. - Zorn, K. and N. V. Sahinidis, Computational experience with applications of bilinear cutting planes,
__Industrial & Engineering Chemistry Research__, 52:7514-7525, 2013. - Khajavirad, A., J. J. Michalek and N. V. Sahinidis, Relaxations of factorable functions with convex-transformable intermediates,
__Mathematical Programming__, 144:107-140, 2014. - Zorn, K. and N. V. Sahinidis, Global optimization of general nonconvex problems with intermediate polynomial substructures,
__Journal of Global Optimization__, 59:673-693, 2014. - Bao, X., A. Khajavirad, N. V. Sahinidis, and M. Tawarmalani, Global optimization of nonconvex problems with multilinear intermediates,
__Mathematical Programming Computation__, 7:1-37, 2015. - Puranik, Y. M. Kılınç, N. V. Sahinidis, T. Li, A. Gopalakrishnan, B. Besancon, and Th. Roba, Global optimization of an industrial gas network operation,
__AIChE Journal__, 62:3215-3224, 2016. - Puranik, Y. and N. V. Sahinidis, Domain reduction techniques for global NLP and MINLP optimization,
__Constraints__, 22:338-376, 2017. - Puranik, Y. and N. V. Sahinidis, Bounds tightening based on optimality conditions for nonconvex box-constrained optimization,
__Journal of Global Optimization__, 67:59-77, 2017. - Puranik, Y. and N. V. Sahinidis, Deletion presolve for accelerating infeasibility diagnosis in optimization models,
__INFORMS Journal on Computing__, 29:754-766, 2017. - Kılınç, M. and N. V. Sahinidis, State-of-the-art in mixed-integer nonlinear programming, in T. Terlaky, M. Anjos and S. Ahmed (eds.), Advances and Trends in Optimization with Engineering Applications, MOS-SIAM Book Series on Optimization, SIAM, Philadelphia, 2017, pp. 273-292.
- Zhou, K., M. Kılınç, X. Chen, and N. V. Sahinidis, An efficient strategy for the activation of MIP relaxations in a multicore global MINLP solver,
__Journal of Global Optimization__, 70:497-516, 2017. - Kılınç, M. and N. V. Sahinidis, Exploiting integrality in the global optimization of mixed-integer nonlinear programming problems in BARON,
__Optimization Methods and Software__, 33:540-562, 2018. - Khajavirad, A. and N. V. Sahinidis, A hybrid LP/NLP paradigm for global optimization relaxations,
__Mathematical Programming Computation__, 10:383-421, 2018. - Nohra, C. J. and N. V. Sahinidis, Global optimization of nonconvex problems with convex-transformable intermediates,
__Journal of Global Optimization__, 72:255-276, 2018. - Puranik, Y., A. Samudra, N. V. Sahinidis, A. B. Smith and B. Sayyar-Rodsari, Infeasibility resolution for multi-purpose batch process scheduling,
__Computers & Chemical Engineering__, 116, 69-79, 2018. - Cozad, A. and N. V. Sahinidis, A global MINLP approach to symbolic regression,
__Mathematical Programming__, 170, 97-119, 2018. - Liu, J., N. Ploskas and N. V. Sahinidis, Global optimization of nonconvex problems with convex-transformable intermediates,
__Journal of Global Optimization__, 74, 611-637, 2019. - Furini, F., E. Traversi, P. Belotti, A. Frangioni, A. Gleixner, N. Gould, L. Liberti, A. Lodi, R. Misener, H. Mittelmann, N. V. Sahinidis, S. Vigerske, A. Wiegele, QPLIB: A library of quadratic programming instances,
__Mathematical Programming Computation__, 11, 237-265, 2019. - Del Pia, A., A. Khajavirad and N. V. Sahinidis, On the impact of running intersection inequalities for globally solving polynomial optimization problems,
__Mathematical Programming Computation__, 12, 165-191, 2020. - Zhang, Y., N. V. Sahinidis, C. Nohra and G. Rong, Optimality-based domain reduction for inequality-constrained NLP and MINLP problems,
__Journal of Global Optimization__, 77, 425-454, 2020. - Nohra, C. J., A. U. Raghunathan and N. V. Sahinidis, Spectral relaxations and branching strategies for global optimization of mixed-integer quadratic programs,
__SIAM Journal on Optimization__, 31, 142-171, 2021. - Nohra, C. J., A. U. Raghunathan and N. V. Sahinidis, SDP-quality bounds via convex quadratic relaxations for global optimization of mixed-integer quadratic programs,
__Mathematical Programming__, 196, 203-233, 2022.