Beyond the artefact and techno-centricity: towards process-centric understanding of architecture - alternative facilitation strategies and proposals

The artefact and techno-centricity of the research into the architecture process needs to be counterbalanced by other approaches. An increasing amount of information is collected and used in the process, resulting in challenges related to information and knowledge management, as this research evidences through interviews with practicing architects. However, emerging technologies are expected to resolve many of the traditional challenges, opening up new avenues for research. This research suggests that among them novel techniques addressing how architects interact with project information, especially that indirectly related to the artefacts, and tools which better address the social nature of work, notably communication between participants, become a higher priority. In the fields associated with the Human Computer Interaction generic solutions still frequently prevail, whereas it appears that specific alternative approaches would be particularly in demand for the dynamic and context dependent design process. This research identifies an opportunity for a process-centric and integrative approach for architectural practice and proposes an information management and communication software application, developed for the needs discovered in close collaboration with architects. Departing from the architects’ challenges, an information management software application, Mneme, was designed and developed until a working prototype. It proposes the use of visualizations as an interface to provide an overview of the process, facilitate project information retrieval and access, and visualize relationships between the pieces of information. Challenges with communication about visual content, such as images and 3D files, led to a development of a communication feature allowing discussions attached to any file format and searchable from a database. Based on the architects testing the prototype and literature recognizing the subjective side of usability, this thesis argues that visualizations, even 3D visualizations, present potential as an interface for information management in the architecture process. The architects confirmed that Mneme allowed them to have a better project overview, to easier locate heterogeneous content, and provided context for the project information. Communication feature in Mneme was seen to offer a lot of potential in design projects where diverse file formats are typically used. Through empirical understanding of the challenges in the architecture process, and through testing the resulting software proposal, this thesis suggests promising directions for future research into the architecture and design process.

Calculus of variations on time scales and applications to economics

We consider some problems of the calculus of variations on time scales. On the beginning our attention is paid on two inverse extremal problems on arbitrary time scales. Firstly, using the Euler-Lagrange equation and the strengthened Legendre condition, we derive a general form for a variation functional that attains a local minimum at a given point of the vector space. Furthermore, we prove a necessary condition for a dynamic integro-differential equation to be an Euler-Lagrange equation. New and interesting results for the discrete and quantum calculus are obtained as particular cases. Afterwards, we prove Euler-Lagrange type equations and transversality conditions for generalized infinite horizon problems. Next we investigate the composition of a certain scalar function with delta and nabla integrals of a vector valued field. Euler-Lagrange equations in integral form, transversality conditions, and necessary optimality conditions for isoperimetric problems, on an arbitrary time scale, are proved. In the end, two main issues of application of time scales in economic, with interesting results, are presented. In the former case we consider a firm that wants to program its production and investment policies to reach a given production rate and to maximize its future market competitiveness. The model which describes firm activities is studied in two different ways: using classical discretizations; and applying discrete versions of our result on time scales. In the end we compare the cost functional values obtained from those two approaches. The latter problem is more complex and relates to rate of inflation, p, and rate of unemployment, u, which inflict a social loss. Using known relations between p, u, and the expected rate of inflation π, we rewrite the social loss function as a function of π. We present this model in the time scale framework and find an optimal path π that minimizes the total social loss over a given time interval.