A fast calculation of a reasonable solution for the choice of a heat e
xchanger network able to make some imposed cooling and warming up task
s, with the use of auxiliary utilities, is developed in this article.
This problem boils down to the internal heat exchanger network choice
with respect to a constraint limiting the exchange area, maximizing th
e heat recovery and minimizing the number of stream matching. These in
ternal matches are made one by one with respect to the tasks to be eff
ected at each step. Amongst the possible matches, we have retained the
privilegied ones, ie matches saturating a maximum number of constrain
ts. Some procedures are implemented so as to choose among this set of
privilegied matches. The illustration with some literature problems sh
ows that an algorithm made up with these procedures carries out a good
compromise between the quality of the obtained solution and the compu
ter time.