This project attempts to develop new solution to two problem types that are known to be intractable optimization problems. These include a scheduling problem, the PSP (Project Scheduling Problem), and a problem found in trading (leg-pricing). These problems are investigated to evaluate the applicability of recently developed quantum annealing processors, which specialize in optimization problems, to the examples specific characteristics. These examples are used to explore the suitability of quantum annealing hardware to related problems in scheduling and trading.
Cahn-Hilliard, appears in mathematical physics, describes the motion of two phase separating from each other. It has a wide range of applications in diverse fields such as material sciences, nanotechnology and semiconductor fabrication. There is a considerable research interest in studying the solution of the equation; however, the exact solution is hard to find. Therefore, it is desirable to develop accurate and efficient numerical algorithms to solve the problem. Spectral method has been proved having very good approximation and fast computation speed.
Pertussis, caused by the strict human pathogen B. pertussis or Bordetella parapertussis, is a highly contagious, potentially life-threatening respiratory tract illness when it occurs in unprotected infants. Despite the introduction of acellular pertussis (aP) vaccines and great initial success of the immunization program, pertussis outbreaks were reported in adolescents and adults in Canada since 1993. This trend was demonstrated as shift in pertussis epidemiology from infants and young children.
We aim to use Saskatchewan’s data and current protocols to explore and identify the risk factors for the challenge of investigating cases of missing children. We will be using a variety of analytical methods in order to come up with a set of valuable recommendations for improving the process of investigating the cases of missing children.
Power prices are a significant contributor to the overall risk of almost any large-scale industry. In particular, energy companies such as TransAlta who are active participants in many regional power markets have a strong interest in understanding the long-term risks they are exposed to. This project seeks to develop a model that will help TransAlta to understand some of the uncertainty in medium to long-term power prices in California, the Pacific northwest, and Alberta.
The goal of this project is to study the Hitchin--Kobayashi correspondence which relates solutions of certain differential equations to certain geometric objects with algebraic structure. The differential equations of interest are related to those studied in particle physics. By viewing them from an algebraic perspective, we can often find properties of the space of solutions which would otherwise have been difficult to see.
Le département de Prévision et Analytique de TD Assurance est actuellement en charge de prédire les ventes et les revenues des différents produits d'assurance sur une base annuelle et mensuelle. Prédire les revenues, et ceci de manière précise, est crucial pour l’entreprise et son bon fonctionnement. Les modèles jusqu'alors utilisés ont étés construits il y a un peu plus de dix ans et ont été implémentés avec le logiciel Excel. Ces modèles sont complexes et requièrent trop de manipulations manuelles, engendrant non seulement des erreurs potentielles mais également une perte de temps.
Vaccination is an important preventive measure against influenza infection during both seasonal epidemics and pandemic outbreaks. This research aims to evaluate the health benefits and costs associated with a new vaccine developed by Sanofi for seasonal influenza. This vaccine provides better efficacy and higher protection for individuals over 65 years of age. The vaccine is expected to reduce severe illness and hospitalization in this age group.
HIV-1 remains a global health challenge, with over 35 million people infected. The high rates of turnover and evolutionary adaptability exhibited by HIV-1 pose a particular challenge to the use of antiretrovirals, as well as the development of a vaccine. Our focus is to understand the dynamics of two of the most commonly tracked clinical markers of an HIV-1 infection: CD4+ T cells/mm3 (CD4 count) and HIV-1 RNA/ml (viral load).
Computational Fluid Dynamics (CFD) is a branch of fluid mechanics that is focused on using numerical methods to solve and analyze practical engineering problems involving fluid flow. The purpose of the proposed research project is to develop novel simulation methods directed at applications in sensitivity analysis and design optimization. Sensitivity and optimization studies are becoming more common as engineers are challenged to determine optimal operating configurations for their designs.