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 02/15 |
| 第 2 週 | 28.3 Chapman-Kolmogorov Equations 02/22 |
| 第 3 週 | 28.4 Classification of States of a Markov Chain 28.5 Long-Run Properties of A Markov Chain 03/01 |
| 第 4 週 | 28.5 Long-Run Properties of A Markov Chain 28.6 First Passage Times 28.7 Absorbing States 03/08 |
| 第 5 週 | 17.1 Prototype Example 17.2 Basic Structure of Queueing Models 17.3 Examples of Real Queueing Systems 17.4 The Role of the Exponential Distribution 03/15 |
| 第 6 週 | 17.5 The Birth-and-Death Process 17.6 Queueing Models Based on the Birth-and-Death Process 17.9 Queueing Networks 03/22 |
| 第 7 週 | Midterm Exam (03/29) 03/29 |
| 第 8 週 | National Holiday 04/05 |
| 第 9 週 | 12.1 Prototype Example 12.2 Some BIP Applications 04/12 |
| 第 10 週 | 12.3 Innovative Uses of Binary Variables in Model Formulation 12.4 Some Formulation Examples 04/19 |
| 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 Programming 12.7 A Branch-and-Bounds Algorithm for the Mixed Integer Programming 04/26 |
| 第 12 週 | 13.1 Sample applications 13.2 Graphical Illustration of Nonlinear Programming Problems 05/03 |
| 第 13 週 | 13.3 Types of Nonlinear Programming Problems 13.4 One-Variable Unconstrained Optimization 05/10 |
| 第 14 週 | 13.5 Multivariable Unconstrained Optimization 05/17 |
| 第 15 週 | 13.6 The Karush-Kuhn-Tucker(KKT) Conditions for Constrained Optimization 13.7 Quadratic Programming 05/24 |
| 第 16 週 | Final Exam 05/31 |
| 第 17 週 | Flexible Teaching Week 06/07 |
| 第 18 週 | Flexible Teaching Week 6/14 |
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 08:00-09:00、週四08:00-09:00
- 聯絡方式
- jinyuan@nycu.edu.tw