January 2019

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Optimization: Improve LP model accuracy

Using quadratic equations rather than a linear relationship in a linear programming (LP) model increases the model’s accuracy and reduces money left on the table.

Mohamed, S., Saudi Aramco

Using quadratic equations rather than a linear relationship in a linear programming (LP) model increases the model’s accuracy and reduces money left on the table. This is more pronounced for relationships exhibiting parabolic behavior over a wide domain. An example is given for yields of reformate as a function of reformer severity. Comparison between two solutions is provided, showing the impact on solution time and refinery margin. FIG. 1. Modeling a reformer linearly and non-linearly. Modeling a reformer linearly (delta-based model) The reformer’s feed is hydrotreated heavy naphtha and its main product is reformate, which ends up in the gas

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