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The capacitated multi-item lot sizing problem is a model which aims at scheduling production of several products over a finite number of periods, while minimizing production costs, holding inventory costs and setup costs subject to demand and capacity constraints. These costs may vary for each product and each period and are all linear. Our model includes setup times for each product. / We compare two approaches: a classic Lagrangean relaxation of the capacity constraints and a Lagrangean decomposition by variable splitting. In both cases, the Lagrangean multipliers are updated with an interior point cutting plane technique. The results show: (1) The superiority of the interior point method over the commonly used subgradient optimization in terms of accuracy at termination, number of iterations and ease of utilization. (2) The better quality of the bounds obtained by the Lagrangean decomposition by variable splitting over the Lagrangean relaxation.

A large organization that has many projects to manage may want to build a model that gives an overview of the common and variable parts of its projects' processes. This action is process model generalisation. The McGill Software Engineering Laboratory has developed a technique and a tool to achieve that. The work described in this thesis consisted of reengineering the tool to give it a longer life expectancy and to make it part of a future client-server architecture suitable for developing a suite of process management tools. The tool was effectively reengineered and this helped the laboratory define the architecture better. Also, some lessons about software maintenance were learned.

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<p>System of Systems Engineering (SoSE) is an emerging technical discipline that is increasingly referenced in industry, primarily due to the explosion of technology over recent decades. Its meteoric rise, however, has not been followed by a comprehensive study of what truly defines this new methodology. Despite its widespread use, SoSE still lacks a cohesive, agreed-upon definition or standard curriculum. </p><p> This thesis defines a common, cross-disciplinary framework for SoSE that can be further developed through collaboration between academics and technical professionals. After establishing key SoSE concepts and their roots in traditional SE, this thesis reviews a wide spectrum of present applications and opportunities for future use of SoSE principles in hopes of encouraging a more unified understanding and development of SoSE as a technical discipline. </p>