Industrial engineering Topics in mixed integer nonlinear programming LEHIGH UNIVERSITY AbhishekKumarA Mixed Integer Nonlinear Program (MINLP) is the problem of minimizing a nonlinear function subject to nonlinear constraints and integrality restrictions on some or all of the decision variables. MINLP is ...
Schewe. Solving Mixed-Integer Nonlinear Programs using Adaptively Refined Mixed-Integer Linear Programs. Tech. rep. FAU Erlangen- Nurnberg, 2017. url: https://opus4.kobv.de/opus4-trr154/frontdoor/index/ index/docId/151.R. Burlacu, B. Geißler, and L. Schewe. Solving Mixed-Integer ...
sparse or dense linear, quadratic and nonlinear programming problems. The method avoids the use of penalty functions. Global convergence is enforced through the use of a trust--region and the new concept of afilterwhich accepts a trial point whenever the objective or the constraint violation ...
Costa, M.F.P., Rocha, A.M.A.C., Francisco, R.B., Fernandes, E.M.G.P.: Firefly penalty-based algorithm for bound constrained mixed-integer nonlinear program- ming. Optimization, 65(5), 1085-1104 (2016)M. F. P. Costa, A. M. A. C. Rocha, R. B. Francisco, and E. M. ...
ModelingwithoutCategoricalVariables:AMixed-IntegerNonlinear ProgramfortheOptimizationofThermalInsulationSystems 1 KumarAbhishek,SvenLeyffer,andJeffreyT.Linderoth MathematicsandComputerScienceDivision PreprintANL/MCS-P1434-0607 June21,2007 1 ThisworkwassupportedinpartbytheMathematical,Information,andComputationalSciencesDi...
Lin, "Global optimization of signomial mixed-integer nonlinear programming problems with free variables," Journal of Global Optimization, vol. 42, no. 1, pp. 39-49, 2008.Jung-Fa Tsai,Ming-Hua Lin.Global optimization of signomial mixed-integer nonlinear programming problems with free variables[J...
KeyWords:mixed-integernonlinearprogramming,globaloptimi- sation,quadraticprogramming,polynomialoptimisation. 1Introduction AMixed-IntegerNonlinearProgram(MINLP)isaproblemofthefollowing form: min f 0 (x,y):f j (x,y)≤0(j=1,...,m),x∈Z n 1 + ,y∈R n 2 + , wheren 1 isthenumberofinteger...
bonmin-bb A nonlinear branch-and-bound algorithm based on solving a continuous nonlinear program at each node of the search tree and branching on variables (Gupta, Ravindran, 1980) x bonmin-hyb A hybrid outer-approximation / nonlinear programming based branch-and-cut algorithm (Bonami et al. 20...
The direct discretization of a MIOCP leads to a mixed integer nonlinear program (MINLP) and can not be solved with gradient based optimization methods at once. We extend the work by Gerdts [1] and reformulate a MIOCP with integer dependent constraints as an ordinary optimal control problem (...
In this study, we employ the Data-driven Optimization of bi-level Mixed-Integer NOnlinear problems (DOMINO) framework, a data-driven algorithm developed to handle single-leader single-follower bi-level mixed-integer problems, to solve single-leader multi-follower planning and scheduling problems ...