, Minlplib2

, Air transport action group (atag), 2016.

, International air transport association, iata price analysis, 2016.

M. Abramson, Pattern search algorithms for mixed variable general constrained optimization problems, 2003.

M. Abramson, C. Audet, G. Couture, J. Dennis, S. L. Digabel et al., The NOMAD project. Software available at

C. Audet and J. Dennis, Pattern search algorithms for mixed variable programming, SIAM Journal on Optimization, vol.11, 2000.

C. Audet and W. Hare, Derivative-Free and Blackbox Optimization, Springer Series in Operations Research and Financial Engineering, 2017.

D. Bremner, T. M. Chan, E. D. Demaine, J. Erickson, F. Hurtado et al., , 2012.

C. Cartis, L. Roberts, and O. Sheridan-methven, Escaping local minima with derivative-free methods: a numerical investigation, 2018.

B. Choi, Pattern optimization of intentional blade mistuning for the reduction of the forced response using genetic algorithm, KSME International Journal, vol.17, pp.966-977, 2003.

B. Choi, K. H. Eun, K. H. Jung, J. Haneol, G. Dongsik et al., Optimization of intentional mistuning for bladed disk : Intentional mistuning intensity effect, in Engineering Asset Management, pp.1024-1029, 2006.

B. Choi, J. Lentz, A. Rivas-guerra, and M. Mignolet, Optimization of intentional mistuning patterns for the reduction of the forced response effects of unintentional mistuning: Formulation and assessment, Journal of Engineering for Gas Turbines and Power, vol.125, pp.131-140, 2003.

A. L. Claudia-d'ambrosio, Mixed integer nonlinear programming tools: an updated practical overview, 2013.

R. Conn, C. Ambrosio, L. Liberti, and D. Sinoquet, A trust region method for solving grey-box mixed integer nonlinear problems with industrial applications

R. Conn, K. Scheinberg, and L. Vicente, Introduction to Derivative-Free Optimization, Society for Industrial and Applied Mathematics, 2009.

A. Costa and G. Nannicini, Rbfopt: an open-source library for black-box optimization with costly function evaluations, Mathematical Programming Computation, vol.10, pp.597-629, 2018.

S. R. Dennis and J. E. , Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Classics in Applied Mathematics, Society for Industrial and Applied Mathematics, 1996.

S. G. Dixon and L. , The global optimization problem: an introduction, Towards Global Optimization, pp.1-15, 1975.

E. , The distance geometry of music, 2007.

M. M. , Necklace swap problem for rhythmic similarity measure, 2005.

B. F. Meunier, Computing solution of the paintshop necklace problem, 2011.

H. Fredricksen and I. J. Kessler, An algorithm for generating necklaces of beads in two colors, Discrete Mathematics, pp.181-188, 1986.

D. Gabric and J. Sawada, Constructing de bruijn sequences by concatenating smaller universal cycles, Theoretical Computer Science, vol.743, pp.12-22, 2018.

H. Gutmann, A radial basis function method for global optimization, Journal of Global Optimization, vol.19, pp.201-227, 2001.

S. K. Hock and W. , Test examples for nonlinear programming codes, Lecture Notes in Economics and Mathematical Systems, p.87, 1981.

F. Hutter, L. Xu, H. H. Hoos, and K. Leyton-brown, Online appendix for aij article "algorithm runtime prediction: Methods & evaluation, 2013.

F. Hutter, L. Xu, H. H. Hoos, and K. Leyton-brown, Algorithm runtime prediction: Methods & evaluation, vol.206, pp.79-111, 2014.

M. N. Izzat-alsmadi, String matching evaluation methods for dna comparation, International Journal of advanced Science and Technology, p.47, 2012.

M. Jiang, On the sum of distances along a circle, vol.308, pp.2038-2045, 2008.

M. Jiang, A linear-time algorithm for hamming distance with shifts, Theory Comput Syst, vol.44, pp.349-355, 2009.

S. and L. Digabel, Algorithm 909: NOMAD: Nonlinear optimization with the MADS algorithm, ACM Transactions on Mathematical Software, vol.37, pp.1-15, 2011.

H. Liao, J. Wang, J. Yao, and Q. Li, Mistuning Forced Response Characteristics Analysis of Mistuned Bladed Disks, Journal of Engineering for Gas Turbines and Power, vol.132, 2010.

L. S. ,

R. Liuzzi and G. , Derivative-free methods for bound constrained mixed-integer optimization, Comput Optim Appl, vol.53, pp.505-526, 2012.

S. Lucidi and V. Piccialli, An algorithm model for mixed variable programming, SIAM Journal on Optimization, vol.15, 2005.

L. Luksan and J. Vl?ek, Test problems for nonsmooth unconstrained and linearly constrained optimization, 2000.

W. J. Mckay and R. J. Beckman, A comparison of three methods for selecting values of input variables in the analysis of output from a computer code, American Statistical Association and American Society for Quality, vol.42, pp.55-61, 2010.

M. Moustapha, Conception robuste en vibration et aéroélasticité des roues aubagées de turbomachines, 2009.

A. Neumaier, Neumaier's collection of test problems for global optimization, pp.1-15, 2014.

J. Nocedal and S. Wright, Numerical optimization, 2006.

G. Óttarsson, Dynamic modeling and vibration analysis of mistuned bladed disks, theses, 1994.

M. Powell, On trust region methods for unconstrained minimization without derivatives, Math. Program., Ser, 2003.

C. A. Rao and T. R. , Asymmetric error codes for some lsi semiconductor memories, Ann. Southeast Symp. Syst. Theory, Auburn-Tuskegee, pp.170-171, 1975.

A. N. Samuel and . Burer, Non-convex mixed-integer nonlinear programming: A survey, vol.53, pp.97-106, 2012.

G. Toussaint, A comparison of rhythmic similarity measures

G. Toussaint, A mathematical analysis of african, brazilian, and cuban clave rhythms, pp.157-168, 2002.

G. Toussaint, The geometry of musical rhythm, in Discrete and Computational Geometry, pp.198-212, 2005.

G. Toussaint, Computational geometric aspects of rhythm, melody, and voice-leading, Computational Geometry, vol.43, pp.2-22, 2010.

S. M. Wild, Derivative-Free Optimization Algorithms for Computationally Expensive Functions, 2009.

M. P. Han, Optimization of intentional mistuning patterns for the mitigation of the effects of randon mistuning, SME Turbo Expo, 2008.