A method includes providing a schedule of engagements for a resource. Each engagement has a working window and an associated engagement density function. The engagement density functions of the scheduled engagements are combined to generate a committed capacity function for the resource. A region of violation in the committed capacity function is identified where the committed capacity of the resource exceeds a capacity threshold. An area of a region of overlap between the working window of a selected one of the engagements and the region of violation is determined. An area reduction amount for the selected engagement is determined based on a portion of the area of the region of overlap. The working window of the selected engagement is changed based on the area reduction amount.

 
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