作業研究(二)
Operations Research (II)
| 節 | 週二 |
|---|---|
2 09:00–09:50 | 作業研究(二) MB520（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 *** 詳情請至 [教材列表] 下載課程綱要。
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% *** 考試時間、詳情平時成績分配方法,請至 [教材列表] 下載課程綱要。
DTMC, CTMC, and Queueing Theory
Introduce the fundamental theory and applications of Queue Systems
- 講授：
- 13
Integer Programming and Discrete Optimization
Introduce the integer programming formulation and solution techniques
- 講授：
- 13
Non-linear Programming
Introduce the fundamental theory and applications of Non-linear Programming
- 講授：
- 13
Stochastic Process and Markov Chain
Introduce the fundamental theory and applications of Markov Chain
- 講授：
- 9
| 週次 | 主題 |
|---|---|
| 第 1 週 | 28.1 Stochastic Processes 28.2 Markov Chains 2024-02-20(二) |
| 第 2 週 | 28.3 Chapman-Kolmogorov Equations 28.4 Classification of States of a Markov Chain 2024-02-27(二) |
| 第 3 週 | 28.5 Long-Run Properties of Markov Chain 2024-03-05(二) |
| 第 4 週 | 28.6 First Passage Times 28.7 Absorbing States 2024-03-12(二) |
| 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 2024-03-19(二) |
| 第 6 週 | 17.5 The Birth-and-Death Process 17.6 Queueing Models Based on the Birth-and-Death Process 2024-03-26(二) |
| 第 7 週 | 17.9 Queueing Networks 12.1 Prototype Example 12.2 Some BIP Applications 2024-04-02(二) |
| 第 8 週 | Midterm Exam (35%) 2024-04-09(二) |
| 第 9 週 | 12.3 Innovative Uses of Binary Variables in Model Formulation 12.4 Some Formulation Examples 12.5 Some Perspectives on Solving Integer Programming Problem 2024-04-16(二) |
| 第 10 週 | 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 2024-04-23(二) |
| 第 11 週 | 13.1 Sample applications 13.2 Graphical Illustration of Nonlinear Programming Problems 2024-04-30(二) |
| 第 12 週 | 13.3 Types of Nonlinear Programming Problems 13.4 One-Variable Unconstrained Optimization 2024-05-07(二) |
| 第 13 週 | 13.5 Multivariable Unconstrained Optimization 2024-05-14(二) |
| 第 14 週 | 13.6 The Karush-Kuhn-Tucker(KKT) Conditions for Constrained Optimization 2024-05-21(二) |
| 第 15 週 | 13.7 Quadratic Programming 2024-05-28(二) |
| 第 16 週 | Final Exam (35%) 2024-06-04(二) |
Frederick S. Hillier and Gerald J. Lieberman, Introduction to Operations Research, 11th Edition, McGraw-Hill, 2021.
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- 聯絡方式
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