Simon Fraser University
Engaging the World

Course Outlines

Spring 2022 - MATH 448 D100

Network Flows (3)

Class Number: 3306

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 10 – Apr 11, 2022: Mon, 2:30–4:20 p.m.
    Surrey

    Jan 10 – Apr 11, 2022: Wed, 2:30–3:20 p.m.
    Surrey

  • Exam Times + Location:

    Apr 13, 2022
    Wed, 7:00–10:00 p.m.
    Surrey

  • Prerequisites:

    MATH 308 with a minimum grade of C-. Recommended: MATH 345.

Description

CALENDAR DESCRIPTION:

Applications of network flow models; flow decomposition; polynomial algorithms for shortest paths, maximum flows and minimum costs flows; convex cost flows; generalized flows, multi-commodity flows. Quantitative.

COURSE DETAILS:

Shortest path algorithms:
Optimality conditions and Ford-Fulkerson label correcting algorithms, special implementations, detection of negative cycles, all pair shortest paths, maximum capacity paths.

Maximum flows:
Review of augmenting path algorithms, labeling algorithm and maximum flow minimum cut theorem, capacity scaling, pre-flow push algorithms, flows in unit capacity networks.

Minimum cost flows:
Optimality conditions and duality, cycle-canceling algorithm, capacity scaling algorithm.

Other topics:
Convex cost flows, generalized network flow models, multicommodity network flow models.

As time permits:
Network location models, network design models, Applications of Network flow models.

Grading

  • Assignments/Quizzes (4 @ 10% each) 40%
  • Midterm Test 20%
  • Final Examination 40%

NOTES:

THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION. 
Students should be aware that they have certain rights to confidentiality concerning the return of course papers and the posting of marks. Please pay careful attention to the options discussed in class at the beginning of the semester.

Materials

REQUIRED READING:

Network Flows: Theory, Algorithms and Applications
1st Edition
RK Ahuja, TL Magnanti, JB Orlin
Pearson

Speak to the instructor prior to purchasing this text.
ISBN: 9780136175490

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity web site http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating.  Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the University community.  Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s10-01.html

TEACHING AT SFU IN SPRING 2022

Teaching at SFU in spring 2022 will involve primarily in-person instruction, with safety plans in place.  Some courses will still be offered through remote methods, and if so, this will be clearly identified in the schedule of classes.  You will also know at enrollment whether remote course components will be “live” (synchronous) or at your own pace (asynchronous).

Enrolling in a course acknowledges that you are able to attend in whatever format is required.  You should not enroll in a course that is in-person if you are not able to return to campus, and should be aware that remote study may entail different modes of learning, interaction with your instructor, and ways of getting feedback on your work than may be the case for in-person classes.

Students with hidden or visible disabilities who may need class or exam accommodations, including in the context of remote learning, are advised to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112) as early as possible in order to prepare for the spring 2022 term.