Proposal for Caterpillar Fellowship (1998-1999) Optimal Location Problems: Theories and Applications
نویسنده
چکیده
"ÞAbstract Mathematical methods have been used to study location problems for two centuries, however, the mathematical theories have not been well established. Recently the author, together with Dr. McAsey and others, first formulated the mathematical models for quite general location problems. Furthermore, we proved the existence of optimal locations, and derived a system of equations whose solutions contain all possible solutions. In this project, I propose to extend our models to location problems involving natural constraints and study the existence, characterization and approximation of optimal locations. The extended theories have applications in both real-life and mathematics itself.
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