# Near optimal

A point $LaTeX: x$ that is within a small value, say $LaTeX: e > 0,$ of optimality in some sense. The following are the common measures of nearness:
• in value: $LaTeX: x$ feasible and $LaTeX: f(x) \ge f(x^*) - e.$
• in policy: $LaTeX: \textstyle ||x - x^*|| \le e.$
• in resource level: $LaTeX: x \in \argmax \left \{f(y): y \in X, g(y) \le b, h(x) = c \right \},$ where $LaTeX: \textstyle ||(b, c)|| \le e.$