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r'' i
r' i
b n
b 1
b n+k
b n1
p n+k+1
p n1+1
p n+m
p n1+m
Fig. 4. The common transition schema of E-net representation
A concrete parameter of token obtain a concrete value according to it's identification, when
the token is introduced into the location b j ( k ). Such a combination of locations with the
tokens in them, the parameters of which obtain concrete values, describes a situation for
process execution.
Such an understanding of the transition procedure enables us to introduce the time aspects
into procedure of control of processes and determine operations with token parameters in
time dimension.
The exceptional feature is the fact that the E-net transition can represent a sequence of
smaller operations with transition parameters connected with the event/process. Operations
are described in the transition procedure with these parameters  ={ j} .
The E-nets support a top down design in graphical representation manner. The hierarchical
construction of dynamic model is simplified by representing macro-transition and macro-
location constructions.
The goal of the manufacture enterprises is to rationally develop an ecologically clean
production. It means that enterprises (e.g. factories, plants, etc.) must guarantee the
manufacture of products with minimal pollution of the environment and damage to nature,
not exceeding the permissible standards.
Thus we have a problem of two objectives/goals:
G 1 - increase in capacity of production and profits of the enterprise under consideration;
G 2 - decrease in environmental pollution within the permissible limits.
The first criterion Ñ - the profit of production has to be maximized while the second
criterion Õ - the environmental pollution has to be minimized. The importance of the first
criterion is determined by various economic industrial parameters. The maximization of its
importance is of direct interest to and care of the producers. The main task of our decision
support system is to maintain the importance of the second criterion Õ within the
permissible limits and thus act on the first criterion. The Õ criterion is stipulated by three
factors: water pollution, air pollution and contamination of harmful solid wastes:
Õ={W,A,H}.
More in details we consider the example of the analysis of water resources and the pollution
of sewage of the enterprise. The pollutants from the production are entering into the water
in some types of cases. Such cases we find out by the construction of E-net distribution
processes of sewage in the enterprise (Fig. 5).
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