CECM Applied Analysis and Optimization Seminar

November 29, 2001 from 10:00-11:00 in K9509, SFU

Mason Macklem (CECM)

Talks on

"NOTIONS OF OPTIMALITY EXTENDED TO MULTICRITERIA OPTIMIZATION MODELS."



Abstract: For optimization problems with single-valued objective functions, little ambiguity is encountered in defining an optimal point as one which maximizes the given objective. For problems with multiple objectives, or equivalently for vector-valued objective functions, such notions of optimality are ill-defined. The definition of an "optimal" solution will vary depending on the solution model, and in many cases will determine the generating algorithm. We will contrast various notions of optimality in the context of their respective algorithms and solution models.