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教學時程



課程單元 REQUIRED READINGS

1

Introduction to Linear Programming

Case: Gemstone Tool Company
Ch. 1: sections.1-3, 5

2 Brief Review of Linear Algebra and LP Formulations
3 Geometry of Linear Programming Ch. 1: section 4
4 Simplex Method 1 Appendix A Section 5,
and Ch. 2
5 Simplex Method 2 Ch. 2
6 Linear Programming Sensitivity Analysis I Ch. 3: sections 1-5
7 Linear Programming Sensitivity Analysis II Ch. 3: sections 7-8
8 Linear Programming Duality Theory I Ch. 4: sections 1-5
9 Linear Programming Duality Theory II
10 Midterm I
11 Applications of Network Models Ch. 8 sections 1-4
12 The Minimum Cost Flow Problem Ch. 8 sections 5-8
13 Shortest Path Problems Handout
14 Integer Programming Models Ch. 9 sections 1-4
15 Solving Integer Programs I: Branch and Bound Ch. 9 sections 5-7
16 Solving Integer Programs II: Cutting Planes Ch. 9 section 8
17 Nonlinear Programming Models Ch. 13 section 1-4, 9
18 Midterm II
19 Separable Programming Ch. 13 section 5
20 Dynamic Programming I Ch. 11
21 Dynamic Programming II Ch. 11
22 Heuristics I Handout
23 Heuristics II: Genetic Algorithms and extensions Handout
24 Heuristics III: Very Large Scale Neighborhood Search Handout
25 Subject Review


 
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