Variable Programming - A Paradigm for Solving Dynamic Spatial Decision Making Problem with Variable Objectives and Constraints

Principal Investigator:
Leung, Yee

Co-investigator(s):
Xu, Zongben

Summary:
The purpose of this project is to develop a novel multi-objective optimization paradigm, christened variable programming, to solve dynamically multi-objective spatial optimization problems with a large number of conflicting objectives and constraints and a non-decomposable structure. With the paradigm, models can be constructed to efficiently and effectively solve real-life decision problems. The paradigm not only has a formal representation, but also has a lucid geometric and physical interpretation closely linked to the biological problem solving process.

The significance of the project lies in its ability to handle non-decomposable structures and variable objectives and constraints. Its linkage to the cerebral cortex will also tie optimization nicely with evolution systems. The research will advance a new frontier in decision analysis and provide practical means to solve complex decision problems facing the world in general and Hong Kong in particular.