Subgradient optimization methods in integer programming with an application to a radiation therapy problem [Elektronische Ressource] / Berhanu Guta

Berhanu GutaSubgradient Optimization Methods inInteger Programming with an Application to aRadiation Therapy ProblemVom Fachbereich Mathematikder Universit¨at KaiserslauterngenehmigteDissertationzur Erlangung des akademischen GradesDoktor der Naturwissenschaften(Doctor rerum naturalium, Dr. rer. nat.)Gutachter: Prof. Dr. Horst W. HamacherProf. Dr. Francesco MaffioliDatum der Disputation: 17. September 2003D 386iiiiiAcknowledgmentsI would like to express my sincere gratitude to my supervisor Prof. Dr. Horst W.Hamacher for making this research work possible. His guidance, valuable suggestionsand great support has been a good influence for this work to be successfully done. Iwant to express my thanks also to Prof. Dr. Francesco Maffioli for his good will andeffort to read and evaluate my thesis. I am indebted also to Prof. Dr. Helmut Neunzertwho not only gave me the chance to come to Germany but also genuinely and fatherlyconcerned about my personal life, in general, and academic work, in particular. I wouldalso like to thank Prof. Dr. Dietmar Schweigert for his support during the beginningof my Ph.D studies.Many thanks go to all my colleagues at Optimization Group, AGHamacher, in the Uni-versity of Kaiserslautern for the good working atmosphere as well as for their friendlyand unreserved support which have always made me to feel like being in my family athome.