JIAOTONG UNIVERSITY 1096 Systems Engineering Lecture 7-2 Multi-Objective Optimization Instructor(s) Prof.Jianjun Gao Department of Automation School of Electronic Information and Electrical Engineering 2014 Spring
Systems Engineering Instructor(s) + - 2014 Spring Multi-Objective Optimization Prof. Jianjun Gao Department of Automation School of Electronic Information and Electrical Engineering Lecture 7-2
Gao's V-Model Stakeholder Systems Engineering Lifecycle Analysis Overview Managment Requirement Cost and Schedule Commissioning Analysis Management Operations System Verification and Architecture Validation Tradespace System Exploration Integration Human System Factor Design Definition and Safety Optimization CLGO System Engineering by J.J.Gao 2
+ - System Engineering by J. J. Gao 2 Gao’s V-Model Stakeholder Analysis Requirement Analysis System Architecture Tradespace Exploration Design Definition and Optimization System Integration Verification and Validation Commissioning Operations Lifecycle Managment Systems Engineering Overview Cost and Schedule Management Human Factor System Safety
Today's Agenda Convex Optimization(Single Variable) Mini-Tutorial on Convex function ■MOO Formulation MOO:The weighting Method MOO:E-Constraint Method MOO:Goal Programming CLGO System Engineering by J.J.Gao 3
+ - 3 Today’s Agenda System Engineering by J. J. Gao Convex Optimization(Single Variable) Mini-Tutorial on Convex function MOO Formulation MOO: The weighting Method MOO:𝜖-Constraint Method MOO: Goal Programming
Today's Agenda Convex Optimization(Single Objecitve Function) Optimization Problem Classification Multi-objective optimization Goal Programming CLGO System Engineering by J.J.Gao 4
+ - 4 Today’s Agenda System Engineering by J. J. Gao Convex Optimization(Single Objecitve Function) Optimization Problem Classification Multi-objective optimization Goal Programming
Mathematical Optimization (mathematical)optimization problem minimize fo(x) subject to fi(x)<bi,i=1,...,m =(1,...,n):optimization variables ●fo:Rm一R:objective function ●fi:Rn一R,i=1,..,m:constraint functions optimal solution has smallest value of fo among all vectors that satisfy the constraints System Engineering by J.J.Gao CLGO 5
+ - System Engineering by J. J. Gao 5 Mathematical Optimization