A biobjective hierarchical location-allocation approach for the regionalization of maternal-neonatal care

Abstract

This study proposes a biobjective location-allocation model for the regionalization of maternal-neonatal care to increase both accessibility and cost-efficiency by minimizing total transportation costs to public in accessing services and total service costs to government simultaneously. The model is characterized by a three-level successively inclusive hierarchy with an integrated flow and bidirectional referrals. Since it is difficult to solve for the optimum in a reasonable time, three heuristics are developed: top-down heuristic, novel top-down heuristic, and Lagrangean relaxation. A significant result obtained from the computational study is that at least one of the heuristics provides high-quality solutions in reasonable computational time for any level of the policy variable in weighting the two objectives. To demonstrate its practicality, the proposed hierarchical location-allocation model is applied to a case study based on the southeastern Anatolian region of Turkey.