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Systems Optimization: Models and Computation (SMA 5223) >> Content Detail



Lecture Notes



Lecture Notes

Lec #TOPICS
1Optimization Modelling and Computaional Issues in Radiation Therapy (PDF - 1.5 MB)
2Increasing the Computational Effectiveness of the Simple Method (PDF)

Working with the Basis Inverse Over a Sequence of Iterations (PDF)
3Applied Lagrange Duality for Constrained Optimization (PDF)
4Simple Routines for Optimization (PDF - 2.2 MB)
5Telecommunications System Design: Minimum-Cost Embeddings of Reliable Virtual Private Networks (PDF - 2.5 MB)

Exact Algorithms for the Minimum-Cost Embeddings of Reliable Virtual Private Networks into Telecommunications Networks (PDF)
6Column Generation (PDF)
7Column Generation II: Application in Distribution Network Design (PDF)

Shu, Jia, Zuo-Jun Max Shen, and Chung-Piaw Teo. "Stochastic Transportation-Inventory Network Design Problem." Operations Research 53: 48-60.
8Module on Large-Scale Integer Programming and Combinatorial Optimization (PDF)
9Introduction to Convex Constrained Optimization (PDF)
10Facility Location and Distribution System Planning (PDF)
11Network Design: Network Loading and Pup Matching (PDF)
Midterm Exam
12Pattern Classification: Separable Problems
13Pattern Classification, and Quadratic Problems (PDF)
14Solution Methods for Quadratic Optimization (PDF)
15E-commerce Application
16Notes for Class: Analytic Center, Newton's Method, and Web-Based ACA (PDF)
17Truss Design and Convex Optimization (PDF)
18Issues in Non-Convex Optimization
19Stochastic Linear Optimization, and Extensions (PDF)
20Optimization under Uncertainty (PDF)
21Benders' Decomposition Methods for Structured Optimization, including Stochastic Optimization (PDF)
22Introduction to Semidefinite Programming (SDP) (PDF)
23Truss Structures - Natural Frequency Manipulation via SDP (PDF - 1.5 MB)

Smith, Jeffrey, Jessica Hodgins, Andrew Witkin, and Irving Oppenheim. "Creating Models of Truss Structures with Optimization." ACM Transactions on Graphics (TOG) 21, no. 3 (2002): 295-301.
24Selfish Routing in Capacitated Networks (PDF)

System-Optimal Routing of Traffic Flows with User Constraints in Networks with Congestion (PDF - 1.4 MB)

Effective Route Guidance in Traffic Networks (PDF)

Effective Route Guidance in Traffic Networks (cont.) (PDF)

 








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