Three-level global resource allocation model for HIV control: A hierarchical decision system approach
Funds from various global organizations, such as, The Global Fund, The World Bank, etc. are not directly distributed to the targeted risk groups. Especially in the so-called third-world-countries, the major part of the fund in HIV prevention programs comes from these global funding organizations. Th...
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AIMS Press
2018-01-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2018011 |
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| author | Semu Mitiku Kassa |
| author_facet | Semu Mitiku Kassa |
| author_sort | Semu Mitiku Kassa |
| collection | DOAJ |
| description | Funds from various global organizations, such as, The Global Fund, The World Bank, etc. are not directly distributed to the targeted risk groups. Especially in the so-called third-world-countries, the major part of the fund in HIV prevention programs comes from these global funding organizations. The allocations of these funds usually pass through several levels of decision making bodies that have their own specific parameters to control and specific objectives to achieve. However, these decisions are made mostly in a heuristic manner and this may lead to a non-optimal allocation of the scarce resources. In this paper, a hierarchical mathematical optimization model is proposed to solve such a problem. Combining existing epidemiological models with the kind of interventions being on practice, a 3-level hierarchical decision making model in optimally allocating such resources has been developed and analyzed. When the impact of antiretroviral therapy (ART) is included in the model, it has been shown that the objective function of the lower level decision making structure is a non-convex minimization problem in the allocation variables even if all the production functions for the intervention programs are assumed to be linear. |
| format | Article |
| id | doaj-art-572290698ec640bc9a941fe03c961815 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-572290698ec640bc9a941fe03c9618152025-01-24T02:40:37ZengAIMS PressMathematical Biosciences and Engineering1551-00182018-01-0115125527310.3934/mbe.2018011Three-level global resource allocation model for HIV control: A hierarchical decision system approachSemu Mitiku Kassa0Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology (BIUST), P/Bag 16, Palapye, BotswanaFunds from various global organizations, such as, The Global Fund, The World Bank, etc. are not directly distributed to the targeted risk groups. Especially in the so-called third-world-countries, the major part of the fund in HIV prevention programs comes from these global funding organizations. The allocations of these funds usually pass through several levels of decision making bodies that have their own specific parameters to control and specific objectives to achieve. However, these decisions are made mostly in a heuristic manner and this may lead to a non-optimal allocation of the scarce resources. In this paper, a hierarchical mathematical optimization model is proposed to solve such a problem. Combining existing epidemiological models with the kind of interventions being on practice, a 3-level hierarchical decision making model in optimally allocating such resources has been developed and analyzed. When the impact of antiretroviral therapy (ART) is included in the model, it has been shown that the objective function of the lower level decision making structure is a non-convex minimization problem in the allocation variables even if all the production functions for the intervention programs are assumed to be linear.https://www.aimspress.com/article/doi/10.3934/mbe.2018011multilevel resource allocationhierarchical planningepidemiological modelinghivhierarchical optimization |
| spellingShingle | Semu Mitiku Kassa Three-level global resource allocation model for HIV control: A hierarchical decision system approach Mathematical Biosciences and Engineering multilevel resource allocation hierarchical planning epidemiological modeling hiv hierarchical optimization |
| title | Three-level global resource allocation model for HIV control: A hierarchical decision system approach |
| title_full | Three-level global resource allocation model for HIV control: A hierarchical decision system approach |
| title_fullStr | Three-level global resource allocation model for HIV control: A hierarchical decision system approach |
| title_full_unstemmed | Three-level global resource allocation model for HIV control: A hierarchical decision system approach |
| title_short | Three-level global resource allocation model for HIV control: A hierarchical decision system approach |
| title_sort | three level global resource allocation model for hiv control a hierarchical decision system approach |
| topic | multilevel resource allocation hierarchical planning epidemiological modeling hiv hierarchical optimization |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2018011 |
| work_keys_str_mv | AT semumitikukassa threelevelglobalresourceallocationmodelforhivcontrolahierarchicaldecisionsystemapproach |