DOMINANCE

Dominance - This is used in many contexts, but the general meaning is that something is uniformly better than something else. For example, consider two activities in a linear program , say j and k, such that:

• j has greater cost: c_j >= c_k
• j produces less of each requirement: A(i, j) <= A(i, k) for i such that we require A(i,.)x >= b_i
• j consumes more of each resource: A(i, j) >= A(i, k) for i such that we require A(i,.)x <= b_i
• j produces or consumes at the same rate of goods to be conserved: A(i, j) = A(i, k) for i such that we require A(i,.)x = b_i

Then, activity k dominates  activity j.