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PDF papers
authors Martelli, T.
year 1997
title Automatic Procedure for the Dimensioning and Arrangement of Space Units of an Architectural Organism
source Challenges of the Future [15th eCAADe Conference Proceedings / ISBN 0-9523687-3-0] Vienna (Austria) 17-20 September 1997
summary The application of a Mathematical Programming (M.P.) technique, typical of Operational Research (O. R.), is proposed as a means to cope with the decisional problem of layout dimensioning and arrangement. Within the ambit of O.R., Mathematical Programming. deals with decisional problems of simplest structure: only one decision factor, only one preference function, complete (deterministic) knowledge of the environment in which one operates.

Such a problem, in standard form, presents an objective function Z=f(x), of n variables x, to be minimized and a system of linear equations and/or inequalities, on the same variables, which represent the constraints and which define an admissible area for the solution.

The architectural organism is modelled as an assembly of parallelepiped shaped space entities or units, provided with a certain number of "holes" that permit functional corresponding connection. The pursued intent being optimal assembly.

The model, in its mathematical form, fits a standard Non-Linear M.P. (N.L.P.) problem, since the objective function Z is non-linear and the constraints are represented by inequalities. In its graphic form it reproduces an image of all the space units constituting the organism; moreover it is able to represent these units, in their logical and physical individuality, and their mutual relationship, as well as the ones with the external environment.

keywords Layout Dimensioning, Modelling, Mathematical Programming, Gradient Method
series eCAADe
full text file.pdf (82,953 bytes)
references Content-type: text/plain
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