{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Homework4 - construction described in the handout to...

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

View Full Document Right Arrow Icon
ENGRI 1101 Engineering Applications of OR Fall 2008 Homework 4 The Maximum Flow Problem Due date: 4:00pm on Friday, September 26, 2008 in the ENGRI 1101 box at the west end of the corridor on the second floor of Rhodes Hall, where it connects to Upson. Reading assignment: Handout 5 on the maximum flow problem. Make sure to put your name on the first page and staple the problems in order. 1. (50 points) The following figure gives an input to the maximum flow problem, and a feasible flow that has been computed by the Ford-Fulkerson algorithm. 6 2 5 f 6 1 2 3 5 1 5 1 8 4 6 10 1 2 9 5 3 u KE 0 2 2 1 4 3 5 6 (a) (30 points) Finish the execution of this algorithm to produce a maximum flow. (b) (10 points) Use the Ford-Fulkerson algorithm to produce a cut of minimum capacity. Be sure to explain your work. (c) (10 points) What is the value of the flow that you have found? What is the capacity of the cut that you have found? 2. (a) (20 points) For the input for the advisor assignment problem given in Handout 5, apply the
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: construction described in the handout to formulate this problem as a maximum ±ow problem. 1 (b) (30 points) It turns out that half of the faculty have left FUN. Now each advisor will take at most two new advisees, and the students have given their choices from among the remaining ±ve advisors. Once again, we wish to maximize the number of students assigned to one of their two choices. Take the data given below, and formulate this new problem as a maximum ²ow problem. (Hint: in this new formulation not all of the arc capacities will be 1.) Student # Choice #1 Choice #2 1 A C 2 B D 3 A C 4 D A 5 A C 6 B A 7 D A 8 E B 9 B A 10 B E Be sure to explain why your formulation is correct; in this explanation, be sure to explain how the integrality property is important. 2...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern