A modern two-stage stochastic programming portfolio model for an oil refinery with financial risk management

The proposal which we wish to make is a two‐stage stochastic programming model for a competitive oil refinery with stochastic crude and fuel prices. Most models for refineries are deterministic, and those considering the stochastic problem do so by utilising a Gaussian assumption on profits ‐ implementing variance as the risk measure. Our model falls into the category of optimisation with coherent risk measures where robustness, rather than ambiguity, is the focus. The objective is to maximise the refiner's profit under raw material, product inventory constraints and a financial risk constraint. The two‐stage model leverages off a unique discrete scenario generation technique alongside an admissible and computational tractable drawdown risk measure. The expected value of perfect information calculation of each model gives a value for the additional benefit, which the decision‐maker receives in considering the uncertainty inherent in the problem.