New Zealand Institute of Mathematics & its Applications (NZIMA)

Programme theme: Many complex systems are observed through data which do not directly reflect the underlying dynamics. Hidden Markov models (HMM) form a remarkably general and elastic mathematical framework for modelling such partially observed systems. Recent developments, based on the expectation-maximation (E-M) algorithm among others, allow model testing and parameter estimation to be carried out within certain classes of such systems. This Programme aims to further extend and exploit these developments through applications to a range of problems of both local and international significance.

Programme theme: This six-month thematic programme will focus on two broad areas of major importance: fleet and crew planning under uncertainty, and revenue management. Exploring the interface between these two areas will be of particular interest. Our goal is to emphasize the interface between mathematical optimization and its applications in practical situations. To enhance this we will be engaging the support and participation of industrial partners.