Developing a Transfer Point Location Problem Considering Normal Demands Distribution

As related to the center location problem, transfer point location problems (TPLP) are gaining attention as a reliable prediction model. For this, one normally assumes no transformation directly from a demand point to the service facility location, which leads to the transfer point being constantly engaged. We propose a method for finding the best location for the transfer point so that the maximum expected weighted distance to all demand points through the transfer point is minimized. A mathematical solution is employed for demand points follow normal distribution, with some points of demands being in regions. Then, this model was validated using real data under real conditions. We used the Maple software to solve the optimization problem, as well as MATLAB software to solve this model numerically.