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Multiparametric Disaggregation Relaxation of Bilinear Terms for the Operational Management of Crude Oil Supply

The Crude Oil Operational Management Problem (COOMP) entails solving extensive mixed-integer nonlinear programming problems, accounting for unloading and transfer operations in terminals, inventory control, and blending of crude oils to meet the demands from the refinery. In offshore oil assets, the planning of operations becomes more challenging because vessels' trips should be scheduled to relieve production platforms from crudes transferred to the terminals. Arguably, the problem's computational hardness emerges from its size and the combination of discrete decisions with nonlinear constraints, consisting of bilinear terms that model blending operations. Concerning the nonlinear functions, this work contributes by developing a linear approximation of the bilinear terms with the multiparametric disaggregation technique (MDT). The MDT application yields a mixed-integer linear programming relaxation, which can be combined with a local nonlinear programming (NLP) algorithm to reach a feasible schedule of operations.