|
|
|
PROBLEMS OPTIMIZATION IN MULTI-FUNCTION ANALYSISSummary: The thesis is part of one of the largest fields of application of mathematics: the theory of optimization, and within it the optimization of a multi-functional approach to the joint, which is a completely new party, and has great potential for problem solving real. This approach was proposed by D. Kuroiwa in 1999 and is based on relationships between sets. The first chapter introduces the notation to be used as well as some definitions. It explains what each of the criteria associated solution to a problem of optimizing multi-function: the standard vector and the optimization criterion sets. This second criterion is the main object of study in this work. It also presents the technical differences that presents both theories. The second chapter examines the relationships between sets defining relations preferably seen along the entire memory. It highlights two main blocks. The first is the third chapter, which relate, for the first time in literature, both criteria solution. The second block, also original, it comprises Chapters 4 and 5. They were studying normal procedures in vector optimization, such as escalarización and the duality within the joint optimization. This will obtinen representations of non scalar line, introducing a new type Lagrangian dual problem and presents results of duality through several points chair and rules of multipliers. It establishes new conditions for the existence of solutions and extend results of numerous vector optimization and multi-function.
NON-CONVEX OPTIMIZATION AND ADDRESSES OF NEGATIVE CURVATURE: AN APPROXIMATION EFFICIENT.Author: OLIVARES GONZÁLEZ ALBERTO. Year: 2005. University: REY JUAN CARLOS [ www.urjc.es]. Place of defense: ESCUELA SUPERIOR DE CIENCIAS EXPERIMENTALES Y TECNOLOGÍA. Place of preparation: ESCUELA SUPERIOR DE CIENCIAS EXPERIMENTALES Y TECNOLOGÍA. Summary: In this paper we develop algorithms that use explicit information derived pair of second calculating local solutions to problems not convex. These procedures are based on the method of Newton and in a linear search method. The algorithms used addresses negative curvature to ensure convergence points kkt second order. The procedures for calculating addresses negative curvature combine a direct method and an iterative efficiently. For solving the problems unrestricted search curvilinear designs adapted and in the event of problems with heights simple scheme uses a point inside. There will always be a theoretical analysis of the convergence of the proposed algorithms and experimental results are obtained in simulated problems, such as problems in the collection cuter (constrained and unconstrained test environment, revisited). EVALUATION OF ENVIRONMENTAL PROGRAMS AT THE WESTERN BLOT USING A MATHEMATICAL PROGRAMMING MODELAuthor: PINIÉS DE LA CUESTA MARTA. Year: 2005. University: POLITÉCNICA DE MADRID [ www.upm.es]. Place of defense: ESCUELA TÉCNICA SUPERIOR DE INGENIEROS AGRÓNOMOS. Place of preparation: ESCUELA TÉCNICA SUPERIOR DE INGENIEROS AGRÓNOMOS. Summary: Recent reforms in the EU agricultural policy (CAP) are aimed at reducing subsidies for agricultural production and increase the budget for rural development, including agri-environment programs. Direct aid from the CAP and compensatory payments to the AEM simultaneously granted to agricultural producers. Therefore, the simulation models capable of considering the influence of the CAP reforms of 2003 and the AEM are very interesting. The compensation program income (PCR) launched in 1993, has been the greatest beneficiary of agri-environment programs in Castilla La Mancha. The goal of the CRP is the protection of the National Park of tables Daimiel and Natural Park Lagoons Ruidera through water-saving irrigation. These nature reserves depend on the level of reserves of aquifers of La Mancha West and Campo de Montiel. Moreover, the two aquifers have been declared as areas vulnerable to nitrate pollution implying that the agricultural area in both regions has restricted the nitrogen besides irrigation. It has been chosen as La Mancha region of Western study to assess the implementation of PCR in the period 2003-2007. Agricultural activity in the region is represented by 151 farms type extracted from the Agricultural Census. It has built a mathematical programming model positive (PPM), which considers different scenarios of agricultural policy proposed in the 2003 reform, along with scenarios of PCR for the periods 1998-2002 and 2003-2007. It has chosen the methodology of the PPM, which has been added permanent crops and the possibility of including simulated activities in the year that were not in the base year. The results show that agricultural policies influencing saving water induced by the PCR 2003-2007. Scenarios of decoupling induce less water savings and lower investment AE that if continuation of the support system of Agenda 2000, because it promotes crops with higher incomes and greater demand for water. Given the restrictions imposed by the subscriber Nitrates Directive, is achieved reducing fertilizer consumption, but with an increase of water consumption and the decrease in the adoption of PCR. ESTIMATED ORIGIN-DESTINATION MATRIX AND CALIBRATION PARAMETERS IN THE PROBLEM OF ALLOCATING TRAFFIC ON NETWORKS CONGESTIÓNADAS.Author: VERASTEGUI RAYO DOROTEO. Year: 2005. University: CASTILLA-LA MANCHA [ www.uclm.es]. Place of defense: E.T.S.DE INGENIEROS INDUSTRIALES. Place of preparation: ESCUELA TECNICA SUPERIOR DE INGENIEROS INDUSTRIALES. Summary: THE MAIN GOAL OF THIS IS THESIS SOLVE THE PROBLEM OF ESTIMATES OF PARENTS ORIGEN-DESTINO And CALIBRATION OF THE PARAMETERS OF THE PROBLEM IN THE ALLOCATION OF TRAFFIC IN NETWORKING CONGESTIONADAS. FOR THE IMPLEMENTATION OF THIS GENERAL GOALS HAVE BEEN MADE THE FOLLOWING CONTRIBUTIONS: -DESARROLLO A METHODOLOGY FOR THE RESOLUTION OF DPA, IMPLEMENTING FOR RESOLUTION OF A GENERATION OF COLUMNS ALGORITMO CGA. DEVELOPMENT - METHODOLOGIES HEURISTICAS FOR THE RESOLUTION OF FACTORS LEADING TO THE DAP SUCCESSFUL IMPLEMENTATION OF THE METHODOLOGY DEVELOPED SEEKING AN UNDERTAKING BETWEEN EXIACTITUD OF THE SOLUTION AND THE EFFORT FROM COMPUTER NEEDED FOR OBTENERLA. - DEVELOPMENT OF A METHODOLOGY FOR THE PARAMETERS DSE ESTIMATES OF THE FUNCTIONS OF COST IN ARCS AUTOMATICOS AND PROCEDURES WITH LOW COST. HABIENDOSE SUITED TO THIS PROBLEM, EXITOSAMENTE, CGA ALGORITMO THE DEVELOPED FOR THE DAP, WHICH PERMITIRIA STUDY UNIFIED BOTH ISSUES PUDIENDOSE CONSIDERED AS AN DPA GENERALIZED IS THE GOAL OF THE GENERAL THESIS.
|
|
|