Lakie, Esubalew (2007) Linear Three-Level Programming Problem with the Application to Hierarchical Organizations. Masters thesis, Addis Ababa University.
![[img]](http://thesisbank.jhia.ac.ke/style/images/fileicons/application_pdf.png) |
PDF (Linear Three-Level Programming Problem with the Application to Hierarchical Organizations)
Esubalew, Lakie.pdf - Accepted Version Restricted to Repository staff only Download (446kB) | Request a copy |
Abstract
In many decision processes there is an hierarchy of decision-makers and decisions are taken at difierent levels in this hierarchy. The decentralized planning problem has long been recognized as an important decision-making problem. In many practical decision making activities, decision making structure has changed in the last few decades, from a single person (or decision maker) and single criterion (or constraint factor) to multi-person (or decision maker) and multi-criteria and even to hierarchical (or multi-level) situations. In any organization with hierarchical decision systems, the sequential and preemptive nature of the decision process makes the problem of making an optimal decision, and it is difierent from the usual operations research methods. In hierarchical decision process decision-makers are often arranged within a hierarchical administrative structure, each with his/her objective (perhaps conflicting). A planner at one level of the hierarchy may have an objective and a set of feasible decision space determined, in part, by other levels. However, his control instruments may allow him/her to influence the policies at other levels and in this manner improve his/her own objective function. Therefore a multilevel programming problem approach is developed for modelling such type of decentralized planning problems. A multilevel programming problem is a nested optimization problem over a single feasible region. This approach partitions control of the decision variables among several decision makers,in the hierarchy. Each decision-maker in the hierarchy acting in a sequence to maximize his/her own objective function. These decision-makers interact through a set of \corporate" constraints involving the decision variables of all divisions. The general structure of the multilevel programming problem method will be discussed in detail and we will focus on three level linear programming problems.
| Item Type: | Thesis (Masters) |
|---|---|
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Africana |
| Depositing User: | Selom Ghislain |
| Date Deposited: | 29 Jun 2018 13:26 |
| Last Modified: | 29 Jun 2018 13:26 |
| URI: | http://thesisbank.jhia.ac.ke/id/eprint/6341 |
Actions (login required)
 |
View Item |