System and method for simultaneous price optimization and asset allocation to maximize manufacturing profits
First Claim
1. A computer-implemented method for simultaneously pricing an item in a product hierarchy and allocating assets in a supply chain, the method comprising:
- determining a set of price points for the item in the product hierarchy;
determining a value corresponding to a price elasticity of the item;
determining a value corresponding to a price elasticity of a correlated item;
prior to determining a set of expected demand values, determining a non-linear demand model based on a baseline demand of the item, the price elasticity of the item, a cross demand of the item created by the price elasticity of the correlated item, and a demand of the item created by a marketing instrument;
transforming the non-linear demand model into a linear demand model;
determining, by at least one processor associated with a computer system, a set of expected demand values for each price point for the item using the linear demand model, the value corresponding to the price elasticity of the item, the value corresponding to the price elasticity of the correlated item, and the set of price points, the set of expected demand values able to model demand uncertainty for each price point;
determining a supply-side constraint which models inventory, replenishment, and capacities associated with replenishment of the product hierarchy;
determining a joining constraint which requires that a selected set of expected demand values be equal to a net planned supply of the item;
determining a demand-side constraint;
determining an objective function, by the at least one processor associated with the computer system, to maximize revenue and minimize costs simultaneously based on the set of price points for the item, the set of expected demand values for the item, and subject to the supply-side constraint, the joining constraint, and the demand-side constraint; and
providing an optimal price profile for the item based on the objective function.
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Abstract
Systems and methods in accordance with various embodiments of the present invention provide for a system and method for simultaneous price optimization and asset allocation to maximize manufacturing profits. In one embodiment, a set of price points for the item and a set of expected demand values for each price point are determined. A supply-side constraint which models inventory, replenishment, and capacities associated with replenishment and a joining constraint, which requires that the set of expected demand values be equal to a planned supply of the item, are determined. A demand-side constraint is determined. Further, an objective function to maximize profits is determined, based on the set of price points, the set of expected demand values, and subject to the supply-side, joining, and demand-side constraints. Based on the objective function, an optimal price profile for the item is provided.
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Citations
19 Claims
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1. A computer-implemented method for simultaneously pricing an item in a product hierarchy and allocating assets in a supply chain, the method comprising:
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determining a set of price points for the item in the product hierarchy; determining a value corresponding to a price elasticity of the item; determining a value corresponding to a price elasticity of a correlated item; prior to determining a set of expected demand values, determining a non-linear demand model based on a baseline demand of the item, the price elasticity of the item, a cross demand of the item created by the price elasticity of the correlated item, and a demand of the item created by a marketing instrument; transforming the non-linear demand model into a linear demand model; determining, by at least one processor associated with a computer system, a set of expected demand values for each price point for the item using the linear demand model, the value corresponding to the price elasticity of the item, the value corresponding to the price elasticity of the correlated item, and the set of price points, the set of expected demand values able to model demand uncertainty for each price point; determining a supply-side constraint which models inventory, replenishment, and capacities associated with replenishment of the product hierarchy; determining a joining constraint which requires that a selected set of expected demand values be equal to a net planned supply of the item; determining a demand-side constraint; determining an objective function, by the at least one processor associated with the computer system, to maximize revenue and minimize costs simultaneously based on the set of price points for the item, the set of expected demand values for the item, and subject to the supply-side constraint, the joining constraint, and the demand-side constraint; and providing an optimal price profile for the item based on the objective function. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11)
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12. A system for simultaneously pricing an item in a product hierarchy and allocating assets in a supply chain, the system comprising:
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at least one processor; a memory device operatively coupled to the processor; a price point generator configured, by the at least one processor, to determine a set of price points for the item in the product hierarchy; a demand generator configured, by the at least one processor, to determine a set of expected demand values for each price point for the item able to model demand uncertainty for each price point using a linear demand model, a value corresponding to a price elasticity of the item, a value corresponding to a price elasticity of a correlated item, and the set of price points, the linear demand model determined based at least in part upon a non-linear demand model transformation, the non-linear demand model determined based at least in part upon a baseline demand of the item, the price elasticity of the item, a cross demand of the item created by the price elasticity of a correlated item, and a demand of the item created by a marketing instrument; an optimization constraint generator configured, by the at least one processor, to determine a supply-side constraint which models inventory, replenishment, and capacities associated with replenishment of the product hierarchy, a joining constraint which requires that a selected set of expected demand values be equal to a net planned supply of the item, and a demand-side constraint; a model builder configured, by the at least one processor, to determine an objective function to maximize revenue and minimize costs simultaneously based on the set of price points for the item, the set of expected demand values for the item, and subject to the supply-side constraint, the joining constraint, and the demand-side constraint; and a solver configured, by the at least one processor, to provide an optimal price profile for the item based on the objective function. - View Dependent Claims (13, 14, 15, 16)
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17. A computer program product stored on a non-transitory computer-readable medium having computer readable instructions embedded therein, which when executed by at least one processor, causing the at least one processor to implement a method for simultaneously pricing an item in a product hierarchy and allocating assets in a supply chain, the method comprising:
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determining a set of price points for the item in the product hierarchy; determining a value corresponding to the price elasticity of the item; determining a value corresponding to the price elasticity of a correlated item; prior to determining a set of expected demand values, determining a non-linear demand model based on a baseline demand of the item, the price elasticity of the item, a cross demand of the item created by the price elasticity of the correlated item, and a demand of the item created by a marketing instrument; transforming the non-linear demand model into a linear demand model; determining a set of expected demand values for each price point for the item using the linear demand model, the value corresponding to the price elasticity of the item, the value corresponding to the price elasticity of the correlated item, and the set of price points, the set of expected demand values able to model demand uncertainty for each price point; determining a supply-side constraint which models inventory, replenishment, and capacities associated with replenishment of the product hierarchy; determining a joining constraint which requires that a selected set of expected demand values be equal to a net planned supply of the item; determining a demand-side constraint; determining an objective function to maximize revenue and minimize costs simultaneously based on the set of price points for the item, the set of expected demand values for the item, and subject to the supply-side constraint, the joining constraint, and the demand-side constraint; and providing an optimal price profile for the item based on the objective function. - View Dependent Claims (18, 19)
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Specification