http://etd.aau.edu.et:80/dspace/handle/123456789/394 Search the Channel search http://etd.aau.edu.et:80/dspace/simple-search http://etd.aau.edu.et:80/dspace/handle/123456789/376 Title: NONLINEAR TRANSPORTATION PROBLEMS <br/> <br/>Authors: Kidist, Terefe <br/> <br/>Description: A THESIS SUBMITTED TO THE DEPARTMENT OF MATHEMATICS OF ADDIS ABABA UNIVERSITY IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR MASTER OF SCIENCE DEGREE IN MATHEMATICS Wed, 26 Dec 2007 11:11:12 GMT http://etd.aau.edu.et:80/dspace/handle/123456789/375 Title: LINEAR THREE-LEVEL PROGRAMMING PROBLEM WITH THE APPLICATION TO HIERARCHICAL ORGANIZATIONS <br/> <br/>Authors: Esubalew, Lakie <br/> <br/>Abstract: In many decision processes there is an hierarchy of decision-makers and deci- sions are taken at di®erent 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 or- ganization with hierarchical decision systems, the sequential and preemptive nature of the decision process makes the problem of making an optimal de- cision, and it is di®erent 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 con°icting). A planner at one level of the hierarchy may have an objec- tive and a set of feasible decision space determined, in part, by other levels. However, his control instruments may allow him/her to in°uence the policies at other levels and in this manner improve his/her own objective function. Therefore a multilevel programming problem approach is developed for mod- elling 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 vari- ables among several decision makers,in the hierarchy. Each decision-maker in the hierarchy acting in a sequence to maximize his/her own objective func- tion. 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. <br/> <br/>Description: A THESIS SUBMITTED TO THE DEPARTMENT OF MATHEMATICS OF ADDIS ABABA UNIVERSITY IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR MASTER OF SCIENCE DEGREE IN MATHEMATICS Wed, 26 Dec 2007 11:09:13 GMT http://etd.aau.edu.et:80/dspace/handle/123456789/374 Title: THREE-PERSON COOPERATIVE GAME AND ITS APPLICATION IN DECISION MAKING PROCESS OF HIERARCHICAL ORGANIZATIONS <br/> <br/>Authors: Abiy, Dejenee <br/> <br/>Abstract: The solution of an n-level linear problem, when the levels make decisions se- quentially and independently, is not necessarily pareto-optimal, i.e.there exist feasible points which o®er increased payo®s to some levels without diminish- ing the payo®s to other levels. These increased payo®s may be obtained if the levels coalesce. In particular if the number of decision makers on each level form coalition to work cooperatively they can get a better payo®. A game theoretic methodol- ogy for predicting coalition formation in the decision makers on each level is presented. The problem is modeled as an abstract game. If a core exists for the characteristic function game, then there exists a set of enforceable points which o®er the increased payo®s available to the system, but a core may not exist. When the core exist, for games with non-empty cores, it would be an advantageous property for a power index to assign values to the players that comprise a solution in the core. We use Shapley value, as a solution concept, which has got a drawback that it might not always been an element of the core. So we take the Willick's power index as a best solution concept, which has got a better relation with the core than Shapley. The n-level Stackleberg problem, which represent a class of n-level linear problem, as a special case the 3-level Stackleberg problem, is de¯ned. In the university budget allocation system coalition among decision makers in each level, science faculty, is used to demonstrate the suggested methodology. <br/> <br/>Description: A THESIS SUBMITTED TO THE SCHOOL OF GRADUATE STUDIES, ADDIS ABABA UNIVERSITY IN PARTIAL FULFILMENT FOR THE DEGREE OF MASTER OF SCIENCE IN MATHEMATICS Wed, 26 Dec 2007 11:06:48 GMT