(44e) Modeling and Optimization of Multi-Product Supply Chains
In this talk, we present optimization formulations for multi-product supply chain networks. The formulations use a general graph representation that considers a set of technologies placed at a set of nodes and under which a set of products undergo transformations. Interactions between products are captured by using a hierarchical graph that maps products at each node using a transformation matrix and that maps network nodes using transportation paths (arcs). The proposed graph abstraction combines modeling concepts from supply chain and infrastructure network modeling. With this, we seek to provide a formal and general representation that can cover a wide range of settings existing in the literature.
We show how to use the framework to compute compromise solutions that resolve geographical and stakeholder conflicts. In particular, we present case studies in which we seek to design supply chains to collect and process organic waste from a large number of farms in the State of Wisconsin to mitigate point phosphorus and methane emissions while minimizing investment and transportation costs.
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