Spring 2022 - MATH 448 D100
Network Flows (3)
Class Number: 3306
Delivery Method: In Person
Course Times + Location:
Mo 2:30 PM – 4:20 PM
SRYC 3240, Surrey
We 2:30 PM – 3:20 PM
SRYC 3240, Surrey
Exam Times + Location:
Apr 13, 2022
7:00 PM – 10:00 PM
SRYC 3090, Surrey
1 778 782-7611
Prerequisites:MATH 308 with a minimum grade of C-. Recommended: MATH 345.
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.
Shortest path algorithms:
Optimality conditions and Ford-Fulkerson label correcting algorithms, special implementations, detection of negative cycles, all pair shortest paths, maximum capacity paths.
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.
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.
- Assignments/Quizzes (4 @ 10% each) 40%
- Midterm Test 20%
- Final Examination 40%
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.
Network Flows: Theory, Algorithms and Applications
RK Ahuja, TL Magnanti, JB Orlin
Speak to the instructor prior to purchasing this text.
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