What does "Linear Relaxation" mean?

Table of Contents

Linear relaxation is a technique used to simplify complex mathematical problems, particularly in areas like optimization. It takes a problem that has strict rules or limits, which make it hard to solve, and creates a more manageable version of that problem by relaxing some of those rules.

In practice, linear relaxation often means changing certain conditions so that they allow for a wider range of possible solutions. This makes it easier to find approximate answers, rather than exact ones. These approximate solutions are usually faster to compute, which is helpful in situations where quick decisions are needed.

Although the solutions from linear relaxation may not be perfect, they can still provide valuable insights and serve as a good starting point for further analysis. This approach is commonly used in various fields like engineering, economics, and logistics, where decision-making is crucial.