作業研究(二)
Operations Research (II)
| 節 | 週二 |
|---|---|
2 09:00–09:50 | 作業研究(二) AB101（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
This is the second course that introduces deterministic and probabilistic optimization models such as dynamic programming, integer programming, nonlinear programming, Markov chain and queueing theory. This course focuses on modeling approaches, fundamental solution methodologies and their applications to the real world.
Calculus and Probability Theory
無備註
演習課教學助理每週舉行課程及作業講解,學生可自由參加。(The homework assignments will be lectured by our Teaching Assistant weekly and students' participation is optional.) 相關教學資料提供於教學平台。 (Relevant teaching materials are provided on the Virtual Learning Environment.) https://e3.nycu.edu.tw
學期作業、考試、評量 (Homework, Examination, and Grading): 成績評量方法 (Grading): (a) 二次共同考試 (Two Common Examinations):Total 70% (35% for each exam). (b) 平時成績 (Individual Homework Assignments, Attendance, and Others): Total 30%
Queueing Theory
Introduce the fundamental theory and applications of Queue Systems
- 講授：
- 13
Integer Programming
Introduce the integer programming formulation and solution techniques
- 講授：
- 13
Stochastic Process and Markov Chain
Introduce the fundamental theory and applications of Markov Chain
- 講授：
- 15
| 週次 | 主題 |
|---|---|
| 第 1 週 | 28.1 Stochastic Processes 28.2 Markov Chains 2023-02-14(二) |
| 第 2 週 | 28.3 Chapman-Kolmogorov Equations28.4 Classification of States of a Markov Chain 2023-02-21(二) |
| 第 3 週 | National Holiday 2023-02-28(二) |
| 第 4 週 | 28.5 Long-Run Properties of A Markov Chain28.6 First Passage Times28.7 Absorbing States 2023-03-07(二) |
| 第 5 週 | 17.1 Prototype Example17.2 Basic Structure of Queueing Models17.3 Examples of Real Queueing Systems17.4 The Role of the Exponential Distribution 2023-03-14(二) |
| 第 6 週 | 17.5 The Birth-and-Death Process17.6 Queueing Models Based on the Birth-and-Death Process17.9 Queueing Networks 2023-03-21(二) |
| 第 7 週 | 12.1 Prototype Example12.2 Some BIP Applications12.3 Innovative Uses of Binary Variables in Model Formulation 2023-03-28(二) |
| 第 8 週 | National Holiday 2023-04-04(二) |
| 第 9 週 | Midterm Exam (04/11) 2023-04-11(二) |
| 第 10 週 | 12.4 Some Formulation Examples 2023-04-18(二) |
| 第 11 週 | 12.5 Some Perspectives on Solving Integer Programming Problem 12.6 The Branch-and-Bound Technique and its Application to Binary integer Programming12.7 A Branch-and-Bounds Algorithm for the Mixed Integer Programming 2023-04-25(二) |
| 第 12 週 | 13.1 Sample applications13.2 Graphical Illustration of Nonlinear Programming Problems 2023-05-02(二) |
| 第 13 週 | 13.3 Types of Nonlinear Programming Problems13.4 One-Variable Unconstrained Optimization 2023-05-09(二) |
| 第 14 週 | 13.5 Multivariable Unconstrained Optimization 2023-05-16(二) |
| 第 15 週 | 13.6 The Karush-Kuhn-Tucker(KKT) Conditions for Constrained Optimization 2023-05-23(二) |
| 第 16 週 | Final Exam (5/30) 2023-05-30(二) |
| 第 17 週 | Flexible Teaching Week 2023-06-06(二) |
| 第 18 週 | Flexible Teaching Week 2023-06-13(二) |
Frederick S. Hillier and Gerald J. Lieberman, Introduction to Operations Research, 11e Edition, McGraw-Hill, 2021.
- 地點
- 綜合一館813研究室
- 時間
- 週二 0800-0900 週四 0800-0900
- 聯絡方式
- jinyuan@nycu.edu.tw 校內分機:31737