5. Modeling and Optimization

In this chapter we discuss how to use MindOpt to solve mathematical optimization problems. We provide a series of examples on constructing different types of optimization models, and calling the optimization solvers to obtain the optimal solutions.

Note

Currently MindOpt only supports linear programming (LP), mixed-integer linear programming (MILP), quadratic programming (QP), quadratically constrained programming (QCP), mixed-integer quadratic programming (MIQP), mixed-integer quadratically constrained programming (MIQCP) and semidefinite programming (SDP). In the future, MindOpt will support more problem types and continuously improve its performance.

• 5.1. Linear Programming (LP)
  • 5.1.1. Modeling for Linear Programming
  • 5.1.2. LP Modeling and Optimization in C
  • 5.1.3. LP Modeling and Optimization in C++
  • 5.1.4. LP Modeling and Optimization in JAVA
  • 5.1.5. LP Modeling and Optimization in Python
  • 5.1.6. LP Modeling and Optimization in C#
• 5.2. Mixed-Integer Linear Programming (MILP)
  • 5.2.1. Modeling for Mixed-Integer Linear Programming
  • 5.2.2. MILP Modeling and Optimization in C
  • 5.2.3. MILP Modeling and Optimization in C++
  • 5.2.4. MILP Modeling and Optimization in JAVA
  • 5.2.5. MILP Modeling and Optimization in Python
  • 5.2.6. MILP Modeling and Optimization in C#
  • 5.2.7. MILP Warmstart
  • 5.2.8. General Constraints in MILP
  • 5.2.9. MILP Solution Pool
• 5.3. Quadratic Programming (QP)
  • 5.3.1. Modeling for Quadratic Programming
  • 5.3.2. QP Modeling and Optimization in C
  • 5.3.3. QP Modeling and Optimization in C++
  • 5.3.4. QP Modeling and Optimization in JAVA
  • 5.3.5. QP Modeling and Optimization in Python
  • 5.3.6. QP Modeling and Optimization in C#
• 5.4. Quadratically Constrained Programming (QCP)
  • 5.4.1. Modeling for Quadratically Constrained Programming
  • 5.4.2. QCP Modeling and Optimization in C
  • 5.4.3. QCP Modeling and Optimization in C++
  • 5.4.4. QCP Modeling and Optimization in Python
  • 5.4.5. QCP Modeling and Optimization in Java
  • 5.4.6. QCP Modeling and Optimization in C#
• 5.5. Mixed Integer Quadratic Programming (MIQP)
  • 5.5.1. Modeling for Mixed Integer Quadratic Programming
  • 5.5.2. MIQP Modeling and Optimization in C
  • 5.5.3. MIQP Modeling and Optimization in C++
  • 5.5.4. MIQP Modeling and Optimization in Python
  • 5.5.5. MIQP Modeling and Optimization in JAVA
  • 5.5.6. MIQP Modeling and Optimization in C#
• 5.6. Mixed-Integer Quadratically Constrained Programming (MIQCP)
  • 5.6.1. Modeling for Mixed Integer Quadratically Constrained Programming
  • 5.6.2. MIQCP Modeling and Optimization in C
  • 5.6.3. MIQCP Modeling and Optimization in C++
  • 5.6.4. MIQCP Modeling and Optimization in Python
  • 5.6.5. MIQCP Modeling and Optimization in Java
  • 5.6.6. MIQCP Modeling and Optimization in C#
• 5.7. Semi-Definite Programming (SDP)
  • 5.7.1. Modeling for Semi-Definite Programming
  • 5.7.2. SDP Modeling and Optimization in C
  • 5.7.3. SDP Modeling and Optimization in C++
  • 5.7.4. SDP Modeling and Optimization in JAVA
  • 5.7.5. SDP Modeling and Optimization in Python
  • 5.7.6. SDP Modeling and Optimization in C#