DMOR-Midterm-03

# DMOR-Midterm-03 - UF-ESI-6314 Problem Definition page 1 of...

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UF-ESI-6314 0bb3bf2c409e237b12836765d3c2ba90d000963b.xls Problem Definition page 1 of 7 package page _ of _ Luther Setzer 1 NASA Pkwy E Stop NEM3, Kennedy Space Center, FL 32899 (321) 544-7435 Question 3 (20 points): Model the following problem as a linear program. Consider a communication problem involving the following set of cities: Atlanta, Boston, Cleveland, Detroit, and Evansville. Each pair of cities requests a certain amount of communication channels. The number of channels requested for each pair of cities is given below. Node Name 1 Atlanta 2 Boston 3 Cleveland 4 Detroit 5 Evansville Source Node Sink Node Demand Name Demand Quantity 1 2 Atlanta – Boston: 6 1 3 Atlanta – Cleveland: 9 1 4 Atlanta – Detroit: 7 1 5 Atlanta – Evansville: 7 2 3 Boston – Cleveland: 10 2 4 Boston – Detroit: 9 2 5 Boston – Evansville: 4 3 4 Cleveland – Detroit: 8 3 5 Cleveland – Evansville: 7 4 5 Detroit – Evansville: 3 1 2 3 4 5

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UF-ESI-6314 0bb3bf2c409e237b12836765d3c2ba90d000963b.xls Problem Definition page 2 of 7 package page _ of _ Luther Setzer 1 NASA Pkwy E Stop NEM3, Kennedy Space Center, FL 32899 (321) 544-7435 There are three networks that can satisfy these demands, and each network has a maximum capacity of 25 channels. is given by: plus The connection fee for each city to each network is given in the following table: Network 1 Network 2 Network 3 Atlanta 1 1 2 Boston 2 3 1 Cleveland 4 1 1 Detroit 1 2 1 Evansville 3 1 2 The cost for assigning a channel to a network between city i and city j the connection fee for city i to the network the connection fee for city j to the network.
UF-ESI-6314 0bb3bf2c409e237b12836765d3c2ba90d000963b.xls Problem Definition

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