t2009m

t2009m - COT 6401 The Analysis of Algorithms Test (March...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: COT 6401 The Analysis of Algorithms Test (March 11, 2009) Due: midnight of March 12, 2009 Name - SSN - 1. (20%) ( Greedy ) A telecom company needs to install base stations to cover all houses along a long road. These houses can be sparsely distributed along the road. Suppose the coverage of each base station is 5 miles. Design an optimal solution that covers all houses using as few base stations as possible. Prove that your algorithm is optimal. 2. (20%) ( Linear programming ) Solve the following linear program using SIMPLEX and show all the relevant steps: maximize x 1 + 2 x 2 subject to 4 x 1- x 2 9 x 1 + x 2 8 5 x 1- 2 x 2 - 3 x 1 ,x 2 Provide a geometric explanation of the solution by plotting the corresponding feasible region in a 2-D space. 3. (20%) ( Divide-and-conquer ) Suppose the only way to access a database of student GPA is through a simple query k and that the system returns the k...
View Full Document

Ask a homework question - tutors are online