Multisorted Tree-Algebras for Hierarchical Resources Allocation
This paper presents a generic abstract model for the study of disparities between goals and results in hierarchical multiresources allocation systems. In an organization, disparities in resource allocation may occur, when, after comparison of a resource allocation decision with an allocation referen...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/820430 |
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| author | Erick Patrick Zobo Marcel Fouda Ndjodo |
| author_facet | Erick Patrick Zobo Marcel Fouda Ndjodo |
| author_sort | Erick Patrick Zobo |
| collection | DOAJ |
| description | This paper presents a generic abstract model for the study of disparities between goals and results in hierarchical multiresources allocation systems. In an organization, disparities in resource allocation may occur, when, after comparison of a resource allocation decision with an allocation reference goal or property, some agents have surplus resources to accomplish their tasks, while at the same time other agents have deficits of expected resources. In the real world, these situations are frequently encountered in organizations facing scarcity of resources and/or inefficient management. These disparities can be corrected using allocation decisions, by measuring and reducing gradually such disparities and their related costs, without totally canceling the existing resource distribution. While a lot of research has been carried out in the area of resource allocation, this specific class of problems has not yet been formally studied. The paper exposes the results of an exploratory research study of this class of problems. It identifies the commonalities of the family of hierarchical multiresource allocation systems and proposes the concept of multisorted tree-algebra for the modeling of these problems. The research presented here is not yet an in-depth descriptive research study of the mathematical theory of multisorted tree-algebra, but a formal study on modelling hierarchical multiresource allocation problems. |
| format | Article |
| id | doaj-art-906d43e9f26e4e46bf0f1495e3baff5a |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-906d43e9f26e4e46bf0f1495e3baff5a2025-02-03T05:53:54ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/820430820430Multisorted Tree-Algebras for Hierarchical Resources AllocationErick Patrick Zobo0Marcel Fouda Ndjodo1Department of Computer Science and Educational Technology, Higher Teachers Training College, University of Yaoundé I, Yaoundé, CameroonDepartment of Computer Science and Educational Technology, Higher Teachers Training College, University of Yaoundé I, Yaoundé, CameroonThis paper presents a generic abstract model for the study of disparities between goals and results in hierarchical multiresources allocation systems. In an organization, disparities in resource allocation may occur, when, after comparison of a resource allocation decision with an allocation reference goal or property, some agents have surplus resources to accomplish their tasks, while at the same time other agents have deficits of expected resources. In the real world, these situations are frequently encountered in organizations facing scarcity of resources and/or inefficient management. These disparities can be corrected using allocation decisions, by measuring and reducing gradually such disparities and their related costs, without totally canceling the existing resource distribution. While a lot of research has been carried out in the area of resource allocation, this specific class of problems has not yet been formally studied. The paper exposes the results of an exploratory research study of this class of problems. It identifies the commonalities of the family of hierarchical multiresource allocation systems and proposes the concept of multisorted tree-algebra for the modeling of these problems. The research presented here is not yet an in-depth descriptive research study of the mathematical theory of multisorted tree-algebra, but a formal study on modelling hierarchical multiresource allocation problems.http://dx.doi.org/10.1155/2015/820430 |
| spellingShingle | Erick Patrick Zobo Marcel Fouda Ndjodo Multisorted Tree-Algebras for Hierarchical Resources Allocation Journal of Applied Mathematics |
| title | Multisorted Tree-Algebras for Hierarchical Resources Allocation |
| title_full | Multisorted Tree-Algebras for Hierarchical Resources Allocation |
| title_fullStr | Multisorted Tree-Algebras for Hierarchical Resources Allocation |
| title_full_unstemmed | Multisorted Tree-Algebras for Hierarchical Resources Allocation |
| title_short | Multisorted Tree-Algebras for Hierarchical Resources Allocation |
| title_sort | multisorted tree algebras for hierarchical resources allocation |
| url | http://dx.doi.org/10.1155/2015/820430 |
| work_keys_str_mv | AT erickpatrickzobo multisortedtreealgebrasforhierarchicalresourcesallocation AT marcelfoudandjodo multisortedtreealgebrasforhierarchicalresourcesallocation |