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Method and apparatus for multivariate allocation of resources
| Details |
Inventors: Chavez, Thomas A.; Dagum, Paul;
Assignee: Rapt Technologies Corporation (San Francisco, CA)
Primary Examiner: Hafiz; Tariq R.
Assistant Examiner: Van Doren; Beth
Attorney, Agent or Firm: Campbell Stephenson Ascolese LLP, Campbell, III; Samuel G.
A method and apparatus providing for an efficient solution to the multivariate allocation of resources are described. A model is formulated that derives the relationship between a set of resources and a set of refinements, wherein any of a number of resources are used to build or comprise a refinement. The model provides for at least: the resource consumption as based upon the relationship between each refinement and its set of supporting resources, a demand distribution of the refinements, and a value function. Each resource, and the refinements that it supports, generates a resource hyperplane in a demand space, and the complete set of refinements generates an intersecting set of hyperplanes forming a polytope on which resource allocation fulfills refinement demand. An expected value function is thereafter formulated and transformed into a closed form solution. |
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DETAILED DESCRIPTION To achieve the foregoing, and in accordance with the purpose of the present invention, a method and apparatus are disclosed that provides an efficient solution for the multivariate allocation of resources.
The theory and solution generalizes to any model of resource consumption, in relation to producing a "refinement.
" The term "refinement," as used through this document, is generally intended to represent an end result (i.
e.
product) which might be produced from a set of resources (i.
e.
components, or the like).
Therefore, a typical refinement-resource framework might involve product-component models, wherein certain components are used to comprise certain products.
Resources might also include available liquid capital for investment, bonds, stocks, and options.
The present system might also be used to consider assets, a portfolio of assets, or consumption of those assets, such as energy (e.
g.
gas, nuclear, electric), space, real estate, etc.
Another example problem includes the allocation of manpower.
For instance, in association with manpower problems, a set of resources (i.
e.
employees) exists that might be used by many different end sources (i.
e.
work tasks, or jobs).
Sharing of such manpower will involve a complex mix of parameters.
In order to maximize productivity (or revenue), the assets (or resources) will need to be analyzed, in relation to production (or refinement) goals.
As yet another example, a company might entertain a portfolio of development projects.
Each project requires the allocation of capital, work force, and new equipment.
Certain factors remain uncertain, including project growth as based upon the success of the venture, market indicators of the interest in the product, uncertain market pressures and demand, and the synergization and cannibalization offered by competing projects.
The company desires to know how to best allocate its resources over the various projects in order to maximize revenues in the face of the aforementioned uncertainties
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Finance 
