A method for the allocation of resources. A series of products (refinements) is arranged in a product space plan (PSP) according to connectivities between the products and associated components (resources). An expected value function is derived for the plan, and converted into a closed form expression. The PSP is transformed into a working space plan (WSP) having corresponding elements for each product. A loading step is applied to the WSP wherein each element is sequentially analyzed to determine if an associated component gates production of that product. Each element is loaded, with components being unloaded from prior elements if a subsequent element is gated. A reloading step redetermines if any elements are gated by a component that might have been unloaded from the element. If the element remains gated, the elements sharing the component are merged into a sub-plan, which can be maximized as a function of a single variable.

 
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