In mathematics and computer science, an optimization problem is the problem of finding the best solution from all feasible solutions. Optimization problems can be divided into two categories depending on whether the variables are continuous or discrete. An optimization problem with discrete variables is known as a combinatorial optimization problem. In a combinatorial optimization problem, we are looking for an object such as an integer, permutation or graph from a finite (or possibly countable infinite) set.
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“Every reform was once a private opinion, and when it shall be a private opinion again, it will solve the problem of the age.”
—Ralph Waldo Emerson (1803–1882)