A system is provided that generates a capacity plan for a resource representing supply to meet demand based on minimizing a cost objective. The system generates demand scenarios by applying a stochastic process that factors in historical information, future goals, and uncertainty in demand. The system generates supply scenarios indicating supply over time for the resource by applying a stochastic process that factors in factors relating to quantity of supply units of the resource and uncertainty in supply. The system identifies a supply scenario that minimizes costs relating to delivery of supply at times other than the times at which supply is need to meet demand based on the demand scenarios. The supply scenario represents the capacity plan.