Optimization Techniques

Numerical Optimization

• Gradient-Based Methods
• Derivative-Free Methods
• Global Optimization Strategies
• Non-linear Programming

Multi-objective Optimization

• Pareto Optimality
• Trade-Off Analysis
• Evolutionary Multi-objective Optimization
• Goal Programming

Fuzzy Optimization

• Fuzzy Linear Programming
• Fuzzy Integer Programming
• Fuzzy Multi-criteria Decision-Making
• Fuzzy Dynamic Programming

Neutrosophic Optimization

• Neutrosophic Linear Programming
• Neutrosophic Integer Programming
• Neutrosophic Dynamic Programming
• Neutrosophic Multi-criteria Decision-Making

Heuristic and Metaheuristic Approaches

• Genetic Algorithms
• Simulated Annealing
• Particle Swarm Optimization
• Ant Colony Optimization

Constrained and Unconstrained Optimization

• Barrier and Penalty Methods
• Lagrange Multipliers
• Sequential Quadratic Programming
• Feasibility Studies

Stochastic and Robust Optimization

• Chance-Constrained Programming
• Stochastic Gradient Descent
• Robust Decision-Making
• Uncertainty Modeling

Dynamic and Real-Time Optimization

• Model Predictive Control
• Online Optimization Algorithms
• Real-Time Decision Systems
• Adaptive Optimization

Game Theory in Optimization

• Nash Equilibria
• Cooperative and Non-cooperative Games
• Mechanism Design
• Auction Theory

Optimization in Machine Learning

• Hyperparameter Tuning
• Feature Selection
• Model Selection
• Regularization Techniques

Optimization in Operations Management

• Supply Chain Optimization
• Inventory Control
• Resource Allocation
• Scheduling and Timetabling

Optimization Software and Tools

• Open-Source Optimization Libraries
• Commercial Optimization Software
• Performance Benchmarks
• Algorithm Comparisons