Collaborative routing and scheduling problem of home health care
Traditional outpatient medical services require patients to visit hospitals for treatment,in-hibiting patients from receiving convenient,efficient,and high-quality medical services.With the popularization and application of internet technology,the emergence of"internet-nursing service"has enabled users to receive health care at home,bringing them great convenience and efficiency.However,the supply of medical resources varies across different regions and institutions,and it is dif-ficult for a single institution to meet the diverse and personalized needs of users with rapid growth.Collaborative services were introduced into home health care as a solution to the imbalanced supply and demand for medical resources,and the collaborative multi-depot home health care problem was discussed,considering the collaborative service of multiple care centers for multi-demand customers.This study aims to minimize the operating costs of care centers by coordinating and optimizing medi-cal resources and by planning flexible and reasonable scheduling plans for caregivers while meeting customers'needs.The problem is formulated as a mathematical programming model with the objec-tive of minimizing the total cost of fixed,traveling,normal working,overtime working,and con-straints of customer demand and caregiver working duration.Moreover,considering the characteris-tics of the studied problem,a hybrid greedy randomized adaptive search procedure with an adaptive feedback mechanism combining greedy random heuristic and iterative local search methods was de-signed based on greedy,random,and adaptive ideas.Finally,the performance of the designed algo-rithm was evaluated by testing benchmark instances in simulation experiments.Compared with the optimization software GUROBI and the standard greedy randomized adaptive search procedure,the proposed algorithm solved the studied problem more efficiently,providing high-quality solutions.Therefore,collaborative services can significantly reduce operating costs and improve caregiver utili-zation.
systems engineeringhome health carecollaborative servicerouting and schedulinghybrid greedy randomized adaptive search procedure