優選方法及應用
Optimization Methods and Applications
| 節 | 週四 |
|---|---|
2 09:00–09:50 | 優選方法及應用 EV307（光復） 3 節連堂 |
3 10:10–11:00 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
1.協助學生了解優選方法及相關基本方法及理論 2.協助學生如何欣賞各個方法的演變過程及其創意 3.協助學生學習如何應用這些方法.
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無備註
1.進行方式 A.課堂講授(講義另發) B.線上講義 C.Facebook 社團 https://www.facebook.com/groups/oma201902/ + 即時Facebook私訊討論 2.課程要求:另發.
作業部份:一個單元通常有一題作業.少數有二題. 考試部份:期中,期末考. 評量部份:期中,期末考,作業.(暫定,依課堂公佈為準)
Introduction
- 講授：
- 2-3
Economic Value
Money vs. Time
- 講授：
- 6-8
Introdcution and Classic Optimzation
1.Introduction 2.Simulation 3.Unconstrained and constrainted optimization 4.Sustitution 5.Lagrange multiplier (LM)
- 講授：
- 6-7
Modelling
How to write a model?
- 講授：
- 7-9
Search Method
Steepest decent method
- 講授：
- 2
Linear Programming
LM → LP
- 講授：
- 6-8
- 示範：
- 1
- 實作：
- 1
ntroduction: Multiobjective programming and NLP
General principles for MO and NLP
- 講授：
- 1-2
Integer Programming
Branch and bound
- 講授：
- 1-2
Network
1.Seven bridge problem 2.Minimum spanning tree 3.Shortest paths 4.Maximal flow 5.Critical path method
- 講授：
- 9-10
Applications
Water quality management+TDP+DP(?)
- 講授：
- 3-6
| 週次 | 主題 |
|---|---|
| 第 1 週 | 因這學期只有16週,下列預定進度為預定進度,會作依實際授課進度調整. Introduction Economic Value I (3 Reasons) Economic Value II: Repeatability 2/21 |
| 第 2 週 | Holiday 2/28 |
| 第 3 週 | Economic Value III: Payout period Optimization: Introdcution Simulation 3/7 |
| 第 4 週 | Optimization: Introduction & Simulation Unconstrainted and constrainted optimization; Subsitituion: a simple approach 3/14 |
| 第 5 週 | Lagrange multipliers 3/21 |
| 第 6 週 | Modelling I Modeling II 3/28 |
| 第 7 週 | Holiday 4/4 |
| 第 8 週 | Modeling III Review HWs + Q&A 4/11 |
| 第 9 週 | Mid-term Examination (open book) 4/18 |
| 第 10 週 | Midterm Review Search Method 4/25 |
| 第 11 週 | Linear Programming (LP) I.1 5/2 |
| 第 12 週 | Linear Programming(LP) I.2 5/9 |
| 第 13 週 | LP II + Using Excel to solve models 5/16 |
| 第 14 週 | LP III+Finish Simplex Method Alternative Optima Degeneracy, Spacial constraints, Mixed-integer programming, Excel to solve MILP/NLP Brief introduction to multiobjective programming 5/23 |
| 第 15 週 | Network: Seven bridges Minimum spanning tree (MST) Shortest & longest paths 5/30 |
| 第 16 週 | Network MILP/LP Max. flow (dual network) Critical path method 6/6 |
| 第 17 週 | Applications: Water quality management+TDP+DP? Q&A + Discussion 6/13 |
| 第 18 週 | Final Examination (open book) 6/20 |
將發講義
- 地點
- 教師辦公室或網路
- 時間
- 週二下午2pm-3:50pm 或以Facebook社團 https://www.facebook.com/groups/oma201902/ 或私訊討論或約時間面談.
- 聯絡方式
- Facebook私訊 或社團 https://www.facebook.com/groups/oma201902/