Alkylation Process and its Model

Variables involved in the alkylation process model of Sauer et al (1964) and their bounds are summarized in Table 1.2. The SOO problem of this process is as follows. 

The above problem will be referred to as Problem A in the following. The 7 inequality constraints in equations 1.4e to 1.4k are the bounds on the 7 variables (X4, xs, X2, Xe, Xio, Xg and X3) in the original problem, and they arise from the elimination of these variables from the 7 equality constraints in the model thus making them dependent variables. The cost coefficients in the profit are alkylate product value ( 0.063/octane-barrel), olefin feed cost ( 5.04 arrel), isobutane recycle cost ( 0.035/barrel), fresh acid cost ( 10.0/thousand pounds) and isobutane feed cost ( 3.36/barrel). The optimal solution for this SOO problem is also presented in Table 1.2. The reader can verify this using the Excel file Alkylation.xls in the folder Chapter 1 on the compact disk (CD) provided with the book. 

Variables Lower Bound Upper Bound Optimum Value 

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