What is the difference between linear and integer programming?
An example of an AI chatbot conversation about linear vs integer programming concepts.
What is the difference between linear and integer programming?
Linear programming involves optimization where variables can take any values, while integer programming restricts some or all variables to whole numbers.
Can you give me an example of each?
Sure! In linear programming, maximizing profit with continuous resources is common. In integer programming, scheduling tasks where you can't have a fraction of a task is an example.
When should I use integer programming instead of linear programming?
Use integer programming when your decision variables must be whole numbers, like in scheduling or resource allocation problems.
Are there any specific algorithms used for these types of programming?
Yes! The Simplex method is often used for linear programming, while branch-and-bound and cutting-plane methods are common for integer programming.
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