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.

本研究提出了一个双目标位置分配模型，用于孕产妇-新生儿护理区域化，通过同时最小化公众获得服务的总运输成本和政府的总服务成本来提高可及性和成本效率。该模型的特点是具有集成流和双向转介的三层依次包含的层次结构。由于很难在合理的时间内求解出最优解，因此开发了三种启发式算法：自顶向下启发式、新颖的自顶向下启发式和拉格朗日松弛。从计算研究中获得的一个重要结果是，至少一个启发式方法在合理的计算时间内为任何级别的策略变量在加权两个目标时提供了高质量的解决方案。为了展示它的实用性，