where Inflow t is the amount entering from all sources, Production is the amount produced by transforming other products or supplied from external sources, Outflow t is the amount leaving to all destinations, and Consumption t is the amount removed by transformation into other products t or by customer demand. All quantities are always summed for a particular product and time period in a particular scenario. A second type of constraints ensures that the model creates a feasible configuration by assigning capacities to different resources in the supply chain.For example, a supplier capacity relation will sum all the outgoing flows of a particular product to the different destination facilities and over all outgoing transportation channels to ensure it does not exceed the capacity of the supplier for that product during that period. These constraints also enforce consistency between the status of a facility or machine and the flow through that facility or machine. The general format of such constraints is given nextfor a single-product capacity constraint.
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