Formal Mathematical Definition
The formal definition of the quadratic assignment problem is as follows:
- Given two sets, P ("facilities") and L ("locations"), of equal size, together with a weight function w : P × P → R and a distance function d : L × L → R. Find the bijection f : P → L ("assignment") such that the cost function:
-
- is minimized.
Usually weight and distance functions are viewed as square real-valued matrices, so that the cost function is written down as:
Read more about this topic: Quadratic Assignment Problem
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