The location of the production, distribution and storage facilities of organizations, remains one of the most important strategic decision production and operations managers have to make. Minimizing total cost and distance traveled is the fundamental objective in deciding the location of facilities in order to maximize total profit. There are several quantitative methods for solving facility location problems and deciding on the most optimal decision to reach as it regards locating a facility or assigning workers to their most optimal location or tasks. The Linear Assignment model with particular emphasis on the Hungarian and Branch and Bound technique under minimization and maximization situations are deterministic approaches to solving facility location problems and have been discussed in this chapter.