A company wants to locate a new warehouse to minimise total transportation miles to all customers. Which quantitative model is best?

The factor-rating method is a qualitative decision-making tool that evaluates multiple criteria for site selection, such as costs, accessibility, and environmental impact. While useful for assessing various factors, it does not specifically minimize transportation miles, making it less suitable for this scenario.

The Brown-Gibson model is a heuristic approach used for facility location but is less commonly utilized than the centre-of-gravity method. It does not specifically focus on minimizing transportation miles and is often applied in different contexts, making it less relevant for the given problem.

While the transportation method of linear programming is effective for optimizing supply chain logistics and transportation costs, it is primarily designed for allocating resources between sources and destinations rather than determining a new warehouse location. Therefore, it is not the best choice for minimizing transportation miles directly associated with warehouse placement.