作業研究(一)
Operations Research (I)
| 節 | 週二 | 週四 |
|---|---|---|
3 10:10–11:00 | 作業研究(一) AB102（光復） 2 節連堂 | |
4 11:10–12:00 | ||
7 15:30–16:20 | 作業研究(一) AB102（光復） |
* 根據陽明交大上課時間表所列
This course is an introduction of operations research designed for junior students with interest in using operations research models for making decisions under a deterministic environment. We will cover fundamental topics to provide students with the knowledge to leverage mathematical programming for contemporary problems, as well as solution approaches for linear programming.
Linear Algebra
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1學期作業 The homework will be assigned every week. 2.考試狀況 (1) In-class quiz (2) Midterm and final exams 3.評量方法 (1) 作業及小考:25% (2) 期中考I(共同考試):25% (2) 期中考II(共同考試):25% (3) 期末考(共同考試):25 %
Integer programming models
Transportation and assignment problems
- 講授：
- 12
Network problems
The shortest path problem, minimum spanning tree problem, maximum flow problem, PERT and CPM
- 講授：
- 15
Introduction
The linear programming model and its assumptions
- 講授：
- 6
Simplex Methods
The simplex algorithm, the graph representation of the simplex method, duality theory, and sensitivity analysis
- 講授：
- 21
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction and Modeling Approach (Chap1 and Chap2) Linear Programming Model (3.1, 3.2) |
| 第 2 週 | Assumptions of LP (3.3) Additional Examples (3.4) |
| 第 3 週 | The Simplex Method (4.1, 4.2, 4.3, 4.4) 10/1 holiday (no class) |
| 第 4 週 | The Simplex Method (4.5, 4.6, 4.7) |
| 第 5 週 | The Theory of Simplex Method (5.1, 5.2) |
| 第 6 週 | 10/20 Exam1 The Theory of Simplex Method (5.3) |
| 第 7 週 | The Theory of Simplex Method (5.4) |
| 第 8 週 | Duality Theory (6.1, 6.2, 6.3) |
| 第 9 週 | Duality Theory (6.4, 6.5) |
| 第 10 週 | Dual Simplex Method (8.1) |
| 第 11 週 | 11/24 Exam2 Transportation problems (9.1) |
| 第 12 週 | Transportation problems (9.2) |
| 第 13 週 | Assignment Problems (9.3, 9.4) |
| 第 14 週 | Assignment Problems (9.4) Network Optimization Models (10.1, 10.2) |
| 第 15 週 | Network Optimization Models (10.3, 10.4, 10.5) |
| 第 16 週 | 12/29 Exam 3 |
| 第 17 週 | Optional : Solving LP problems by using solver |
| 第 18 週 | Optional : Solving LP problems by using solver |
相關參考書: Introduction to Operations Research, 10th Edition, Frederick Hillier and Gerald Lieberman
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