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 0952368730] Vienna (Austria) 1720 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 NonLinear M.P. (N.L.P.) problem, since the
objective function Z is nonlinear 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 
email 
bcolajan@mbox.unipa.it 
more 
http://info.tuwien.ac.at/ecaade/proc/martelli/martelli.htm 
full text 
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references 
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last changed 
2001/08/17 13:11 
