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Presented in this short document is a description of what is called the (classic) “Pooling Optimization Problem” and was first described in Haverly (1978) where he modeled a small distillate blending problem with three component materials (A, B, C), one pool for mixing or blending of only two components, two products (P1, P2) and one property (sulfur, S) as well as only one timeperiod. The GAMS file of this exact same problem is found in Appendix A which describes all of the sets, lists, parameters, variables and constraints required to represent this problem. Related types of NLP submodels can also be found in Kelly and Zyngier (2015) where they formulate other subtypes of continuousprocesses such as blenders, splitters, separators, reactors, fractionators and blackboxes for adhoc or custom submodels.
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