DMOR-05-04 - UF-ESI-6314 DMOR-05-04 Problem Statement page...

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UF-ESI-6314 DMOR-05-04.xls Problem Statement page 1 of 4 05-04. Consider the graph given below. Suppose that the numbers next to the arcs represent capacities. Solve the maximum flow problem on this graph by formulating it as a linear program and solving using Excel. Also identify the minimum cut set in the graph. 1 2 3 4 5 6 7 5 5 4 7 2 6 7 3 2 8 4 Luther Setzer 1 NASA Pkwy E Stop NEM3, Kennedy Space Center, FL 32899 (321) 544-7435
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UF-ESI-6314 DMOR-05-04.xls Linear Program page 2 of 4 Only the first and last node in the set have non-neutral flow. Select the first node outflow to maximize. maximize: z = x 12 + x 13 subject to: x 12 = x 24 + x 25 Flow balance for Node 2 x 13 = x 34 + x 35 Flow balance for Node 3 x 24 + x 34 = x 46 + x 47 Flow balance for Node 4 x 25 + x 35 = x 56 + x 57 Flow balance for Node 5 x 46 + x 56 = x 67 Flow balance for Node 6 x 12 5 Flow cannot exceed capacity of arc x 13 5 Flow cannot exceed capacity of arc x 24 6 Flow cannot exceed capacity of arc x 25 4 Flow cannot exceed capacity of arc x 34 7
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  • Fall '09
  • VLADIMIRLBOGINSKI
  • International Space Station, Flow network, Maximum flow problem, Max-flow min-cut theorem, Kennedy Space Center, Flow Flow Flow

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