Hw2 - CO 227 Homework assignment 2 Fall ‘10 Page 1 CO 227 Fall ‘10 Homework assignment#2(Due at the beginning of the class 10:30AM on Wednesday

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

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

Unformatted text preview: CO 227 - Homework assignment 2 Fall ‘10 Page 1 CO 227 - Fall ‘10 Homework assignment #2: (Due at the beginning of the class, 10:30AM, on Wednesday, Oct 13th) Instructions: • Please show all your work and justify your answers. Answers without proper justification will not be considered. • Please list who you collaborated with. • Clearly define what are your decision variables and write down your final model. • Total value = 100 points Question 1- Algorithms (20 points) Consider a general IP, where all variables are restricted to be { , 1 } . min c T x s.t. Ax ≤ b x ∈ { , 1 } n Now consider the following algorithm to solve this problem: For all possible values of x that satisfy Ax ≤ b and x ∈ { , 1 } n , compute c T x and find the minimum among all possible choices. (a) (10 points) Give an upper bound on the running time of the algorithm (as a function of n ). (b) (10 points) Give a lower bound on the running time of the algorithm that is exponential on n , that is, provide an example of an instance for which the algorithm must make at least...
View Full Document

This note was uploaded on 01/18/2011 for the course CO 227 taught by Professor 1 during the Spring '10 term at Waterloo.

Page1 / 3

Hw2 - CO 227 Homework assignment 2 Fall ‘10 Page 1 CO 227 Fall ‘10 Homework assignment#2(Due at the beginning of the class 10:30AM on Wednesday

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online