1.3 Size of Problems

Understanding the classification of optimization problems based on their size and computational requirements.

Problem Size Classification
Understanding different scales of optimization problems

Small-Scale Problems

Problems with 5 or fewer variables that can be solved using hand calculations or small computers.

Intermediate-Scale Problems

Problems with 5 to 1000 variables that require numerical methods and standard optimization software.

Large-Scale Problems

Problems with more than 1000 variables that need specialized algorithms and high-performance computing.

Key Concepts
Important aspects of problem size and computational theory

Computational Complexity

Understanding how problem size affects computation time and resource requirements.

Solution Methods

Different approaches for solving problems of various sizes and complexities.

Problem Formulation

How to structure and formulate problems based on their size and requirements.

Interactive Learning

Problem Size Challenge
Test your understanding of problem sizes and their computational requirements
Problem 1 of 3
Score: 0

Portfolio Optimization

Optimize a portfolio of 3 stocks with 2 risk constraints

3 variables
2 constraints
最强大脑 Challenge
Test your problem-solving abilities with these challenging puzzles
Time: 30s
Score: 0

Pattern Recognition

Find the next number in the sequence: 2, 6, 12, 20, 30, ?

easy
2
6
12
20
30
?