More importantly, the approach reveals a generalization of the model in Ortner (2008) to more than three chambers.For instance, the matrix for four chambers is given in Table 2. Note that the first row corresponds to complete parallelization, while row 8 corresponds to the sum of all recipes that contain chamber A.Row 12 corresponds to chamber B, row 18 represents the utilization for chamber C and row 23 represents the utilization for chamber D.Note that the coefficient matrix of (35)–(40) has 1+(E)+(I)(3n-1)/2 colums,(J)+(I)((R)+(K)) rows and 2(E)+(I)((R)+1+(K)+(1-Π)) nonzeros, where (1-Π) denotes the number of nonzeros in (1-Πi,r,k).Known values for (K) and (1-Π) can be found in Table 3.According to that, the generalized model for five chambers is already getting fairly large.