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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 convex function convex hull convex set Corollary cost function cost of shipping decreasing rate demand point dual problem duality theory eqnor equivalent Euclidean norm example feasible shipment patterns find the dual finite iff finite number Geometric Programming given implies intersection point investigated Kuhn least cost routes Lemma Levy 20 loca location of plant Manhattan norm market form multi-plant problem nature of optimal node location nodes as possible notation Note objective function output particular plant location problem problem of location production function proof properties ptre raw material relative interior result returns to scale route single plant location snqx sufficient to consider Theorem tion transportation capacity constraints transportation cost unit distance ursare variable vector Witzgall 35 x e N^N