Abstract: The example embodiments are directed to methods and systems for generating a model of an optimum flow of materials within a supply network based on a relax mixed integer programming model. For example, the method may include generating, via a software application, a model of the supply network based on the data stored in the storage device, executing a MIP optimizer on the model to generate a configuration of a flow of materials within the supply network, wherein the MIP optimizer is instructed to relax discrete constraints within the supply network when generating the configuration, generating a graphical user interface that includes a plurality of graphical objects corresponding to a plurality of locations included in the configuration and directional edges between the plurality of graphical objects corresponding to the flow of the materials between the plurality of locations, and displaying the graphical user interface.

Abstract: The example embodiments are directed to methods and systems for generating a model of an optimum flow of materials within a supply network based on a relax mixed integer programming model. For example, the method may include generating, via a software application, a model of the supply network based on the data stored in the storage device, executing a MIP optimizer on the model to generate a configuration of a flow of materials within the supply network, wherein the MIP optimizer is instructed to relax discrete constraints within the supply network when generating the configuration, generating a graphical user interface that includes a plurality of graphical objects corresponding to a plurality of locations included in the configuration and directional edges between the plurality of graphical objects corresponding to the flow of the materials between the plurality of locations, and displaying the graphical user interface.

Abstract: Embodiments of the invention include a system for scheduling the shipment of a set of products. The shipment may be loaded into a set of vehicles and further configured to fit a set of compartments on those vehicles. The system may include attempts to fill each vehicle and the compartments of each vehicle. The system may include evaluating a set of constraints on the shipment. The constraints may include a complex logical statement.

Abstract: Embodiments of the invention include a system for scheduling the shipment of a set of products. The shipment may be loaded into a set of vehicles and further configured to fit a set of compartments on those vehicles. The system may include attempts to fill each vehicle and the compartments of each vehicle. The system may include evaluating a set of constraints on the shipment. The constraints may include a complex logical statement.