MULTIPLE OBJECTIVE OPTIMIZATION - Most real-world problems involve several objectives -or criteria- to be optimized simultaneously. My primary research focuses on developing new and practical approaches for solving and analyzing optimization problems with multiple objective functions. Multi-objective optimization is an area in which evolutionary algorithms have achieved great success.Due to the conflicting nature of at least some of the objectives, only compromise solutions may exist, where improvement in some objectives must always be traded-off against degradation in other objectives. Such solutions are called Pareto-optimal solutions. The selection of one solution over the others can be quite a challenging problem since, in the absence of subjective or judgmental information, none of the corresponding trade-offs can be said to be better than the others. This decision making stage must involve additional domain-specific information.

SYSTEM RELIABILITY ANALYSIS AND OPTIMIZATION - This part of my research mainly involves the optimization of system reliability. My research activities involve identifying and/or developing formal approaches for reliability modeling, design and analysis in the Systems of Systems (SoS) context. A significant challenge of reliability-based design within a SoS context is determining the appropriate mix of components to meet a set of objectives to provide a set of services. To address this problem, I am interested in the development of methods for the optimal SoS allocation of resources/components. I am also active in reliability optimization problems with multi-state systems and networks.

SUSTAINABILITY ENGINEERING - There is a need for a better understanding about how complex industrial systems can achieve both short-term continuity and long-term ecological integrity. Sustainable development is a critical challenge for our generation. While several of our society's current behaviors are unsustainable, recent technological innovations are making the prospect of a sustainable future very achievable and attractive. As we move to a more carbon-constrained world, businesses will ultimately have to meet customer needs in a way that generates fewer carbon emissions. Therefore, it is essential to bridge engineering education to current research in sustainability to prepare future generations of professionals in the application and research like sustainable design, product life cycle analysis, and carbon footprint management, cutting-edge techniques in the growing field of Sustainability Engineering.

ENGINEERING EDUCATION - There is a need for a better understanding about how complex industrial systems can achieve both short-term continuity and long-term ecological integrity. Sustainable development is a critical challenge for our generation.