Template talk:Mathematical optimization software

Alternative taxonomies for math. opt. software

Template:Optimization algorithms

• Unconstrained NLO
• Constrained NLO
• Convex Optimization
• Combinatorial Optimization
• Metaheuristics

Mathematical Programming Glossary: The Nature of Mathematical Programming

• Abstract
• Biconvex
• Bilinear
• Composite concave
• Continuous
• Convex
• Discrete
• Disjunctive
• Dynamic
• Factorable
• Fractional
• Geometric
• Integer
• Infinite
• Lattice
• Linear
• Mixed-Integer
• Multilevel
• Nonlinear
• Pseudo-boolean
• Reverse convex
• Semi-definite
• Semi-infinite
• Separable

Decision Tree for Optimization Software: Problems and Software

• Global Optimization
• Unconstrained Optimization
• Constrained Optimization
  • LP/MILP
  • QP/MIQP
  • SDP/SOCP
  • Geometric programming
  • NLP/MINLP
  • Network Optimization
  • Constraint Programming
  • Dynamic Programming / Control Problems
• Least Squares: Unconstrained LSQ, Constrained LSQ
• Complementarity
• Multiobjective Optimization
• Discrete Optimization
• ...

NEOS Optimization Guide: Optimization Tree and NEOS Solvers: Index

• Continuous Optimization
  • Bound Constrained Optimization
  • Constrained Optimization
  • Derivative-Free Optimization
  • Global Optimization
  • Linear Programming (LP)
  • Nondifferentiable Optimization
  • Nonlinear Programming (NLP)
  • Quadratic Constrained Quadratic Programming (QCQP)
  • Quadratic Programming (QP)
  • Second Order Cone Programming (SOCP)
  • Semidefinite Programming (SDP)
  • Semiinfinite Programming (SIP)
  • Unconstrained Optimization
    • Nonlinear Least Squares (NLLS)
    • Nonlinear Equations
• Discrete Optimization
  • Integer Linear Programming (ILP)
    • Mixed Integer Nonlinear Programming (MILNP)
  • Combinatorial Optimization (CO)
    • Traveling Salesman Problem (TSP)
• Optimization Under Uncertainty
  • Stochastic Programming
    • Stochastic Linear Programming
• Complementarity Problems and Variational Inequalities
  • Complementarity Problems
  • Game Theory
  • Linear Complementarity Problems
  • Mathematical Programs with Complementarity Constraints
  • Mathematical Programs with Equilibrium Constraints
  • Nonlinear Complementarity Problems
• Multiobjective Optimization
• ...

Optimization Software Guide: Software Classification

• Unconstrained Optimization
• Nonlinear Least Squares
• Nonlinear Equations
• Linear Programming
• Quadratic Programming
• Bound Constrained Optimization
• Constrained Optimization
• Network Optimization
• Integer Programming
• Misc.
  • Nondifferentiable Optimization
  • Multiple Criteria Optimization
  • ...

Wiley Encyclopedia of Operations Research and Management Science: Optimization Software

• Instance Formats
• Simplex-based LP Solvers
• Interior-Point LP Solvers: BPMPD, CLP, FortMP, GIPALS32, HOPDM, GLPK, CPLEX, LINDO, LIPSOL, LOQO, MSF, MOSEK, PCx, SAS/OR, Xpress
• Conic Optimization [LP, SOCP, (NL)SDP] Software: CPLEX, CSDP, CVXOPT, DSDP, LMIlab, LOQO, MOSEK, PENSDP, SDPA, SDPlr, SDPT3, SeDuMi, SMCP
• MILP software: CPLEX, Gurobi, LINDO, MOSEK, Xpress, BLIS, CBC, GLPK, MINTO, SCIP, SYMPHONY
• MINLP software: <MIQCP> CPLEX, Xpress-Optimizer, MOSEK, SCIP; <General MINLP> General AlphaBB, AlphaECP, AOA, BARON, BNB, BONMIN, Couenne, DICOPT, Xpress-SLP, FILMINT, FMINCONSET, KNITRO, LAGO, LINDOBB, LINDOglobal, LOGMIP, MIDACO, MILANO, MINLP_BB, MISQP, OQNLP, SBB
• Software for Nonlinearly Constrained Optimization: ALGENCAN, CONOPT, FilterSQP, GALAHAD, Ipfilter, IPOPT, KNITRO, LANCELOT, LINDO, LOQO, LRAMBO, NLPQLP, MINOS, PATH, PENNON, NPSOL, SNOPT, SQPlab

OPTI Toolbox: Solvers and YALMIP: Solvers

• Linear Programming (LP) / Mixed Integer Linear Programming (MILP)
• Quadratic Programming (QP) / Mixed Integer Quadratic Programming (MIQP)
• Quadratically Constrained Quadratic Programming (QCQP) / Mixed Integer Quadratically Constrainted Quadratic Programming (MIQCQP)
• Second-order cone programming (SOCP) / Mixed Integer Second-order cone programming (MISOCP)
• Semidefinite Programming (SDP)
• System of Nonlinear Equations (SNLE)
• Nonlinear Least Squares (NLS)
• Nonlinear Programming (NLP) / Mixed Integer Nonlinear Programming (MINLP) / Global Nonlinear Programming (GNLP)

Optimization Online Submissions: Areas

• Combinatorial Optimization
• Complementarity and Variational Inequalities
• Convex and Nonsmooth Optimization
• Global Optimization
• Infinite Dimensional Optimization
• Integer Programming
• Linear, Cone and Semidefinite Programming
• Network Optimization
• Nonlinear Optimization
• Optimization Software and Modeling Systems
• Robust Optimization
• Stochastic Programming