Using a Single Extra Constraint to Linearize the Quadratic Assignment Problem

Abstract

The paper presents a new powerful technique to linearize the quadratic assignment problem. There are so many techniques available in literature that are used to linearize the quadratic assignment problem. In all these linear formulations both the number of variables and linear constraints significantly increase. The technique proposed in this paper has the strength that the number of linear constraints increases by only one after linearization process. The QAP has application in areas such as wring, hospital layout, dartboard design, typewriter keyboard design, production process and scheduling.