Abstract: Input data provides an order of a quantity of finished goods to a site. Software is programmed for: accessing data defining an architecture of the supply chain network with sites, and a location of each site; enumerating one or more path solutions along the supply chain network to fulfill the order, each path solution comprising path fragments connecting two sites, a path fragment defining movement of a sub-quantity of the finished goods or raw materials; determining a cost associated with each of the plurality of path fragments, the cost comprising a duty rate, the duty rate associated with a particular path fragment based on the locations of the two sites connected by the particular path fragment and the sub-quantity of the finished goods or finished goods raw materials moved between the two sites; determining one or more optimal path solutions; and outputting the optimal path solutions for display.

Abstract: Input data provides an order of a quantity of finished goods to a site. Software is programmed for: accessing data defining an architecture of the supply chain network with sites, and a location of each site; enumerating one or more path solutions along the supply chain network to fulfill the order, each path solution comprising path fragments connecting two sites, a path fragment defining movement of a sub-quantity of the finished goods or raw materials; determining a cost associated with each of the plurality of path fragments, the cost comprising a duty rate, the duty rate associated with a particular path fragment based on the locations of the two sites connected by the particular path fragment and the sub-quantity of the finished goods or finished goods raw materials moved between the two sites; determining one or more optimal path solutions; and outputting the optimal path solutions for display.

Abstract: Input data comprises a particular quantity of one or more finished goods to be produced over a time period. Software is programmed for: accessing infrastructure data that defines an infrastructure of a particular production facility; generating one or more sequence-dependent production plans comprising a particular sequence of one or more production process steps; calculating one or more optimized production plans for the time period by: determining a sub-period optimization plan for a first sub-period by adjusting one or more of a plurality of binary variables; generating a neighborhood optimization plan by adjusting one or more of the plurality of binary variables for a predefined neighborhood; and generating a particular optimized production plan for the time period by adjusting one or more of the plurality of binary variables; filtering the one or more optimized production plans based on one or more filtering criteria; and outputting the optimized production plans for display.

Abstract: Input data provides an order of a quantity of finished goods to a site. Software is programmed for: accessing data defining an architecture of the supply chain network with sites, and a location of each site; enumerating one or more path solutions along the supply chain network to fulfill the order, each path solution comprising path fragments connecting two sites, a path fragment defining movement of a sub-quantity of the finished goods or raw materials; determining a cost associated with each of the plurality of path fragments, the cost comprising a duty rate, the duty rate associated with a particular path fragment based on the locations of the two sites connected by the particular path fragment and the sub-quantity of the finished goods or finished goods raw materials moved between the two sites; determining one or more optimal path solutions; and outputting the optimal path solutions for display.

Abstract: A braking device for slowing a snow board which is to be used by novice or inexperienced users. The invention is comprised of a blade which is affixed either between the rear boot attachment means and the rear of the snow board or on the bottom upturned portion of the rear end of the snow board. The blade is adjustably angled forward against the snow in the direction of travel. When the blade is in the lowered position it cuts snow and directs the cut snow upward over the blade. A slot in the snow board just ahead of the blade allows the snow to pass upward through the snow board. Alternately for another embodiment, the blade is held in a bracket which is affixed to the rear upturned surface of the snow board. For this embodiment of the invention, the cut snow is directed upward between the blade and its supporting structure. The preferred embodiment of the invention is to employ a broad straight bottom edge for the blade about 4 inches wide with a maximum depth of cut of about ½ inch.