Borm, P.E.M.

production period plans y j plans x i period t production costs problem production plan production plans els situation els games coalition player demand els game example setup situation order vector retailer table production cost model p 1 di algorithm instance wagner-whitin algorithm inventory proof els problem instance els problem unit production cost proposition setup costs period 1 els model player m section production periods setup cost plan y j t n \ p 2 di proposition 3 proposition 1 shapley demand vector theorem problem instance wagner-whitin class collection balancednes procedure property research paper example 5 production period costs k 1 management plan x horizon manufacturer theory plan x i function amount whitin wagner cost game inventory management bondareva-shapley theorem example 1 example 2 period 5 concavity pt xt value