Spring 2020  MATH 448 D100
Network Flows (3)
Class Number: 3742
Delivery Method: In Person
Overview

Course Times + Location:
Mo 2:30 PM – 4:20 PM
SRYC 2990, SurreyWe 2:30 PM – 3:20 PM
SRYC 2990, Surrey 
Exam Times + Location:
Apr 14, 2020
12:00 PM – 3:00 PM
SRYC 5320, Surrey

Instructor:
Abraham Punnen
apunnen@sfu.ca
1 778 7827611

Prerequisites:
MATH 308. 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, multicommodity flows. Quantitative.
COURSE DETAILS:
Shortest path algorithms: Optimality conditions and FordFulkerson 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, preflow push algorithms, flows in unit capacity networks.
Minimum cost flows: Optimality conditions and duality, cyclecanceling 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:
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ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS