A Two-Stage Optimization Approach for Healthcare Facility Location- Allocation Problems With Service Delivering Based on Genetic Algorithm

Objective: This study assesses a multi-period capacitated maximal-covering location-allocation model for healthcare services, taking interservice referral as well as equity access into account.Methods: A two-stage optimization strategy is used to formulate the model. In the first stage, facilities a...

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Main Authors: Azadeh Salami, Behrouz Afshar-Nadjafi, Maghsoud Amiri
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-02-01
Series:International Journal of Public Health
Subjects:
Online Access:https://www.ssph-journal.org/articles/10.3389/ijph.2023.1605015/full
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author Azadeh Salami
Behrouz Afshar-Nadjafi
Maghsoud Amiri
author_facet Azadeh Salami
Behrouz Afshar-Nadjafi
Maghsoud Amiri
author_sort Azadeh Salami
collection DOAJ
description Objective: This study assesses a multi-period capacitated maximal-covering location-allocation model for healthcare services, taking interservice referral as well as equity access into account.Methods: A two-stage optimization strategy is used to formulate the model. In the first stage, facilities are located to maximize covered demand, and in the second stage, patients are allocated to capacitated facilities based on their radius of coverage over multiple time periods. The problem, which belongs to the NP-hard class of optimization problems, is solved using a linear mixed-integer programming (MILP) model.Results: A numerical example is presented to evaluate the efficiency of the proposed model. In addition, to identify near-optimal solutions for large instances, a hybrid genetic-sequential quadratic programming approach (GA-SQP) is developed. To examine the performance and efficiency of the GA-SQP, we employed several randomly generated test instances of various sizes and compared them to those obtained using the exact method.Conclusion: The proposed model has demonstrated an excellent ability in locating healthcare facilities and allocating health services while taking shortage and equity into account during each time period.
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spelling doaj.art-42d85e44cb5d46838e2cf39f4e1f49742023-02-28T04:11:03ZengFrontiers Media S.A.International Journal of Public Health1661-85642023-02-016810.3389/ijph.2023.16050151605015A Two-Stage Optimization Approach for Healthcare Facility Location- Allocation Problems With Service Delivering Based on Genetic AlgorithmAzadeh Salami0Behrouz Afshar-Nadjafi1Maghsoud Amiri2Department of Industrial Engineering, Qazvin Branch, Islamic Azad University, Qazvin, IranDepartment of Industrial Engineering, Qazvin Branch, Islamic Azad University, Qazvin, IranDepartment of Industrial Management, Faculty of Management and Accounting, Allameh Tabataba’i University, Tehran, IranObjective: This study assesses a multi-period capacitated maximal-covering location-allocation model for healthcare services, taking interservice referral as well as equity access into account.Methods: A two-stage optimization strategy is used to formulate the model. In the first stage, facilities are located to maximize covered demand, and in the second stage, patients are allocated to capacitated facilities based on their radius of coverage over multiple time periods. The problem, which belongs to the NP-hard class of optimization problems, is solved using a linear mixed-integer programming (MILP) model.Results: A numerical example is presented to evaluate the efficiency of the proposed model. In addition, to identify near-optimal solutions for large instances, a hybrid genetic-sequential quadratic programming approach (GA-SQP) is developed. To examine the performance and efficiency of the GA-SQP, we employed several randomly generated test instances of various sizes and compared them to those obtained using the exact method.Conclusion: The proposed model has demonstrated an excellent ability in locating healthcare facilities and allocating health services while taking shortage and equity into account during each time period.https://www.ssph-journal.org/articles/10.3389/ijph.2023.1605015/fullhealthcarehierarchical facility location-allocationhealth service network designmulti-periodhybrid genetic algorithm
spellingShingle Azadeh Salami
Behrouz Afshar-Nadjafi
Maghsoud Amiri
A Two-Stage Optimization Approach for Healthcare Facility Location- Allocation Problems With Service Delivering Based on Genetic Algorithm
International Journal of Public Health
healthcare
hierarchical facility location-allocation
health service network design
multi-period
hybrid genetic algorithm
title A Two-Stage Optimization Approach for Healthcare Facility Location- Allocation Problems With Service Delivering Based on Genetic Algorithm
title_full A Two-Stage Optimization Approach for Healthcare Facility Location- Allocation Problems With Service Delivering Based on Genetic Algorithm
title_fullStr A Two-Stage Optimization Approach for Healthcare Facility Location- Allocation Problems With Service Delivering Based on Genetic Algorithm
title_full_unstemmed A Two-Stage Optimization Approach for Healthcare Facility Location- Allocation Problems With Service Delivering Based on Genetic Algorithm
title_short A Two-Stage Optimization Approach for Healthcare Facility Location- Allocation Problems With Service Delivering Based on Genetic Algorithm
title_sort two stage optimization approach for healthcare facility location allocation problems with service delivering based on genetic algorithm
topic healthcare
hierarchical facility location-allocation
health service network design
multi-period
hybrid genetic algorithm
url https://www.ssph-journal.org/articles/10.3389/ijph.2023.1605015/full
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