Constraint relaxation is a methodology used to simplify complex optimization problems by temporarily or permanently removing one or more constraints, making them easier to solve. This approach facilitates finding feasible solutions or approximations when exact solutions are difficult or impossible due to rigid constraints.

Constraint Relaxation

Complex optimization problems

Temporarily or permanently removing one or more constraints

Feasible solutions refer to the set of solutions that satisfy all constraints in an optimization problem. In the context of mathematical programming and operations research, these solutions are critical as they define the boundaries within which the optimal solution must be found.

Feasible Solutions

Approximations

Exact solutions refer to precise and analytical solutions to mathematical problems or equations, without approximations or numerical methods. They are crucial in understanding the underlying mechanics of complex systems, providing insights that are often not evident through numerical simulations alone.

Concepts

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