A hierarchical location-allocation model with travel based on expected referral distances

Hodgson, Michael; Jacobsen, Søren Kruse

doi:10.1007/s10479-008-0380-8

Cited by 19 publications

(7 citation statements)

References 26 publications

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“…Hierarchical facilities refer to the facilities that function in a multi-level system, facilities at different levels provide heterogeneous services and interact with each other [5][6][7][8]. Hierarchical facilities include healthcare, education, emergency, firefighting, and logistics facilities [7,9].…”

Section: Introductionmentioning

confidence: 99%

Hierarchical two-step floating catchment area (2SFCA) method: measuring the spatial accessibility to hierarchical healthcare facilities in Shenzhen, China

Tao

Cheng

Liu

2020

Int J Equity Health

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Background Spatial accessibility to healthcare facilities has drawn much attention in health geography. In China, central and local governments have aimed to develop a well-organized hierarchical system of healthcare facilities in recent years. However, few studies have focused on the measurement of healthcare accessibility in a hierarchical service delivery system, which is crucial for the assessment and implementation of such strategies. Methods Based on recent improvements in 2SFCA (two-step floating catchment area) method, this study aims to propose a Hierarchical 2SFCA (H2SFCA) method for measuring spatial accessibility to hierarchical facilities. The method considers the varied catchment area sizes, distance decay effects, and transport modes for facilities at various levels. Moreover, both the relative and absolute distance effects are incorporated into the accessibility measurement. Results The method is applied and tested in a case study of hierarchical healthcare facilities in Shenzhen, China. The results reveal that the general spatial accessibility to hierarchical healthcare facilities in Shenzhen is unevenly distributed and concentrated. The disparity of general accessibility is largely caused by the concentrated distribution of tertiary hospitals. For facilities at higher levels, average accessibility of demanders is higher, but there are also larger disparities in spatial accessibility. The comparison between H2SFCA and traditional methods reveals that traditional methods underestimate the spatial disparity of accessibility, which may lead to biased suggestions for policy making. Conclusions The results suggest that the supply of healthcare resources at primary facilities is far from sufficient. To improve the spatial equity in spatial accessibility to hierarchical healthcare facilities, various actions are needed at different levels. The proposed H2SFCA method contributes to the modelling of spatial accessibility to hierarchical healthcare facilities in China and similar environments where the referral system has not been well designed. It can also act as the foundation for developing more comprehensive measures in future studies.

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Section: Introductionmentioning

confidence: 99%

Hierarchical two-step floating catchment area (2SFCA) method: measuring the spatial accessibility to hierarchical healthcare facilities in Shenzhen, China

Tao

Cheng

Liu

2020

Int J Equity Health

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“…The model was based on the assumption that, in reality, people may not always go to the nearest facility, and for some reasons, they may prefer facilities at higher levels that provide better services but in the farthest distance to those at a lower level with limited services but in the nearer distance [28]. Hodgson and Jacobs developed the previous model based on the patient's behavior considering different possibilities to transfer the patient to a higher-level relief center according to the required service level for the patient [29]. Considering the uncertainty in the field of health locating is important for two main reasons: Pouraliakbarimamaghani et al proposed a location-allocation model for a capacitated healthcare system.…”

Section: Hierarchical Facility Location Problem (Hflp)mentioning

confidence: 99%

A Novel Robust Model for Health Care Facilities Location-Allocation Considering Pre Disaster and Post Disaster Characteristics

et al. 2021

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Health care centers are one of the most important municipal facilities that are involved in providing personal and social health. Locating medical centers is an important strategy to improve these facilities performance and reduce the relief process delay. On the other hand, during disasters, these centers have a critical role in the human casualty's reduction. In this paper, a new Robust Mathematical Modeling is simultaneously provided to locate and allocate healthcare facilities, including different service levels of medical care, concerning the characteristics in normal and disaster situations. Furthermore, to help victims and prevent overcrowding in medical centers during disasters, the establishment of temporary and outpatient centers is allowed for emergency provision of basic services. Also, the possibility to send equipment and medical teams to these centers is considered. To solve the problem, two metaheuristic algorithms, harmony search algorithm and hybrid Tabu search combined with variable neighborhood search algorithm, and a lower bound based on Lagrangian relaxation method are presented. To examine the proposed algorithms, sample problems are randomly generated. The results of exact solutions and the lower bound resulting from the Lagrangian relaxation method are compared with the meta-heuristic algorithms results. The results show the good performance of the algorithms.

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“…e majority of health care systems have a hierarchical organization, some of which are as follows: due to the weak geographical access in developing countries, Rahman and Smith [29] proposed a hierarchical locationallocation model for scheduling the health services. Hodgson and Jacobsen [30] proposed the concept of "expected distance under referral" for primary health care centers using the P-median hierarchical location-allocation model. Fahimnia et al [14] investigated a two-objective location of mobile blood donation facilities in a blood supply network, which includes different levels including blood donors, mobile blood donation facilities (blood donation vehicles), local and regional blood donation centers, and hospitals (demand points).…”

Section: Hierarchical Location-allocation For Supply Chains Ofmentioning

confidence: 99%

“…It ensures that if the hub or node distributor is not selected, the right hand side is zero, and thus the trades in the left hand side could not be set. Constraints (30) and (31) indicate the given values for the decision variables in the model.…”

Section: Problem Descriptionmentioning

confidence: 99%

Five-Echelon Multiobjective Health Services Supply Chain Modeling under Disruption

Gargari

Sayad

Mashhadi

et al. 2021

Mathematical Problems in Engineering

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Medicine unreliability problem is taken into consideration as one of the most important issues in health supply chain management. This research is associated with the development of a multiobjective optimization problem for the selection of suppliers and distributors. To achieve the purposes, the optimal quota allocation is determined with respect to disruption of suppliers in a five-echelon supply chain network and consideration of the distributor centers as a hub location-allocation mode. The objective of the optimization model is involved in simultaneous minimization of transactions costs dealing with suppliers, expected purchasing costs from suppliers, expected percentages of delayed and returned products in each distributor, as well as transportation cost in each echelon and fixed cost for distributor centers, and finally maximization of the expected scores for suppliers and high priority of product customers. The optimization problem is formulated as a mixed-integer nonlinear programming model. The proposed optimization model is utilized to investigate a numerical case study for asthma-specific medicines. The analyzing procedure is conducted based on the collected real data from Cobel Darou pharmaceutical company in 2019. Furthermore, a fuzzy multichoice goal programming model is considered to solve the proposed optimization model by R optimization solver. The numerical results confirmed the authenticity of the model.

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A hierarchical location-allocation model with travel based on expected referral distances

Cited by 19 publications

References 26 publications

Hierarchical two-step floating catchment area (2SFCA) method: measuring the spatial accessibility to hierarchical healthcare facilities in Shenzhen, China

Hierarchical two-step floating catchment area (2SFCA) method: measuring the spatial accessibility to hierarchical healthcare facilities in Shenzhen, China

A Novel Robust Model for Health Care Facilities Location-Allocation Considering Pre Disaster and Post Disaster Characteristics

Five-Echelon Multiobjective Health Services Supply Chain Modeling under Disruption

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