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162 Cha p te r S e v e n
The equipment–task assignments and the order of tasks to be
performed by an equipment unit defines the solution of a
scheduling problem. The schedule is given with an S-graph
containing arcs additional to the S-graph representing the recipe.
Moreover, a single equipment unit is assigned to each task. As an
example, Figure 7.10 depicts an S-graph representing a recipe and
Figure 7.11 a corresponding solution.
1 2
{E1} {E2,E3} 8 A
6 9
3 4
{E1} 6 {E2,E3} 9 9 A
5 6 7
{E1,E3} {E1} {E1,E2} 10 B
14 16 8
FIGURE 7.9 S-graph representing the recipe for two batches of product A and
one batch of product B.
FIGURE 7.10 Example recipe. 1 2 3 10
{E1} 6 {E3} 9 {E2} 7
4 5 6
{E2} 9 {E3} 15 {E1} 17 11
7 8 9
{E1} 14 {E2} 16 {E3} 8 12
Schedule #1
FIGURE 7.11 Solution for 1 2 3 10
the recipe under NIS policy. {E1} {E3} {E2}
4 5 6
{E2} {E3} {E1} 11
7 8 9
12
{E1} {E2} {E3}
Schedule #1
