Space Optimization

Spatial Re-Configuration through Mathematical Optimization

Background and aim:

The spatial configuration of a building can be abstracted as a network of functional spaces that influences the functionality of a building in terms of movements of the occupants, logistic efficiency, feasibility of social distancing, safety of routing, and security. The aim of the research is to propose a systematic way of configuring buildings in 3D to optimally meet functional requirements pertaining to such factors etc.

Research question:

  • How to optimize the allocation of spaces in a building based on a program of requirements, and a set of criteria concerning accessibility and visibility?

Design objective:

  • To design and implement a computational 3D layout methodology.


  • Operations Research (Mathematical Optimization)
  • Quadratic Assignment Problem
  • Computational Topology and Graph Theory
  • Computer Programming (Python/C#)