Quiz01Solutions

# Suppose that each facility has a capacity of 250

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Suppose that each facility has a capacity of 250 units and single sourcing is NOT 4

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required. Use the table below to enter an optimal solution for the location decisions and flows. In this case, we want to open as few facilities as possible. Opening facilities 1 and 3 permits the cheapest flows, as follows: Customer Location Decision (0/1) 1 2 3 4 5 Facility 1 1 150 100 2 3 1 50 100 50 50 4 5
Problem 3 (20 points). If we were to formulate the previous (capacitated, non-single-source) problem, we would write Minimize { } = = + 4 1 5 1 5000 i j ij x ij c i y Subject to: , D i x j ij = = 4 1 j = 1, …, 5, , y j x i ij 250 5 1 = i = 1, …, 4, x ij ≥ 0, i = 1, …, 4, j = 1, …, 5, y ij {0, 1}, i = 1, …, 4, j = 1, …, 5. (a) Suppose there is a major facility cost, such that we incur an additional one-time cost of \$100K if any one (or more) of the four facilities are open. How would the above formulation change to accommodate this kind of cost in the model? Nothing needs to be changed. The formulation requires at least one facility be opened; therefore the \$100K is a constant and needs not be included in the model.

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• Fall '09
• Guan
• Following, Harshad number, The Table, Nikon F-mount, Nikon F4, Fifty Fifty

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