This project deals with the two-dimensional bin packing problem that consists in packing without overlap small rectangular items into large non-identical rectangular bins, with the items obtained via guillotine edge-to-edge cuts. This NP-hard combinatorial optimisation problem asks to minimize the waste of the used bins. Even though the general bin packing
problem has been a subject for intensive study over the past decades, research on its variable-sized two-dimensional variant is still limited because of the intrinsic computational
complexity that makes it challenging to solve to optimality. The aim of this project is to develop time-efficient approximate approaches to the problem and explore effective
decomposition techniques to solve instances of moderate size.
Xiaojuan is an undergraduate student in her third year at Deakin University. Even though her degree is in computer science, she is diligently pursuing further maths studies. Statistics and combinatorial optimization interest her. She intends to earn a master’s degree in mathematics or statistics.