any of several methods for finding where a given linear function of several nonnegative variables assumes an extreme value and for determining the extreme value, the variable usually being subjected to constraints in the form of linear equalities or inequalities.
British Dictionary definitions for linear programming
linear programming
noun
1.
(maths) a technique used in economics, etc, for determining the maximum or minimum of a linear function of non-negative variables subject to constraints expressed as linear equalities or inequalities