TY - JOUR
T1 - The generalized median tour problem
T2 - Modeling, solving and an application
AU - Obreque, Carlos
AU - Paredes-Belmar, Germán
AU - Miranda, Pablo A.
AU - Campuzano, Giovanni
AU - Gutiérrez-Jarpa, Gabriel
PY - 2020
Y1 - 2020
N2 - We introduce, formulate, and solve the Generalized Median Tour Problem, which is motivated in the health supplies distribution for urban and rural areas. A region comprises districts that must be served by a specialized vehicle visiting its health facilities. We propose a distribution strategy to serve these health facilities efficiently. A single tour is determined that visits a set of health facilities (nodes) composed of disjoint clusters. The tour must visit at least one facility within each cluster, and the unvisited facilities are assigned to the closest facility on the tour. We minimize the sum of the total tour distance and the access distance traveled by the unvisited facilities. Efficient formulations are proposed and several solution strategies are developed to avoid subtours based on branch & cut. We solve a set of test instances and a real-world instance to show the efficiency of our solution approaches.
AB - We introduce, formulate, and solve the Generalized Median Tour Problem, which is motivated in the health supplies distribution for urban and rural areas. A region comprises districts that must be served by a specialized vehicle visiting its health facilities. We propose a distribution strategy to serve these health facilities efficiently. A single tour is determined that visits a set of health facilities (nodes) composed of disjoint clusters. The tour must visit at least one facility within each cluster, and the unvisited facilities are assigned to the closest facility on the tour. We minimize the sum of the total tour distance and the access distance traveled by the unvisited facilities. Efficient formulations are proposed and several solution strategies are developed to avoid subtours based on branch & cut. We solve a set of test instances and a real-world instance to show the efficiency of our solution approaches.
U2 - 10.1109/ACCESS.2020.3026933
DO - 10.1109/ACCESS.2020.3026933
M3 - Article
SN - 2169-3536
VL - 8
JO - IEEE Access
JF - IEEE Access
ER -