作業研究(一)
Operations Research (I)
學期
109-1
學分
3
學分
當期課號
1529
永久課號
DOM1045
開課單位
管理學院共同課程
授課教師
水敬心
校區
光復
類別
必修
上課時間表
| 節 | 週二 | 週四 |
|---|---|---|
3 10:10–11:00 | 作業研究(一) A315 2 節連堂 | |
4 11:10–12:00 | ||
7 15:30–16:20 | 作業研究(一) A315 |
* 根據陽明交大上課時間表所列
概述
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.
先修科目
Linear Algebra
評分方式
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 %
課程大綱
- Integer programming models
- Network problems
- Introduction
- Simplex Methods
週次計畫
| 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 |
教科書
相關參考書: Introduction to Operations Research, 10th Edition, Frederick Hillier and Gerald Lieberman
Office Hours
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- 各授課教師另行公布
- 時間
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- 聯絡方式
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