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Finite Dimensional Location
Chapter IT Plant Location and Duality
4 other sections not shown
amount of input amount shipped analysis assume assumption 23 Chapter concave function consider the problem constant convex function convex hull convex set corollary corresponding cost function cost of shipping d.ll decreasing rate define demand point dual problem duality theory equivalent Euclidean norm feasible shipment patterns find the dual finite iff finite number Geometric Programming implies intersection point investigated least cost routes Lemma Leontief Levy 20 Levy's approach loca location of plant Manhattan norm market form multi-plant problem nature of optimal node location nodes as possible notation Note objective function optimal solution set particular plant location problem problem of location production function Proof relative interior result returns to scale route for shipping shipping raw material single plant location specifically sufficiency of node sufficient to consider Suppose Theorem tion transportation capacity constraints transportation cost true unit distance variable vector Witzgall 35