排隊理論與應用
Queueing Theory with Applications
| 節 | 週四 |
|---|---|
2 09:00–09:50 | 排隊理論與應用 MB413 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 module aims to provide master or doctoral students with advanced treatments of stochastic processes and queueing theory. A rigorous and in depth approach to the fundamentals of probability will be taken. In addition, modern examples in service and manufacturing management will be discussed.
Operations Research (I) and (II)
助教 TA 排定時間 Time 地點 Venue 連絡方式 Contact Info 魏均旻 Wei, Jimmy Tuesday -Y(17:30~18:20) Or email for appointment MB002 Email: wsad142358@yahoo.com.tw Tel : 57347 Virtual learning environment數位與虛擬學習環境: http://e3.nctu.edu.tw/ Principles of Academic Misconduct學術誤導: In this course, you are encouraged to work together when learning. However, exams and individual assignments must be done individually. Each individual must develop the final formulation, computer model, and/or homework separately. All suspected cases of academic misconduct will be reported. 本課程鼓勵修課同學間針對學習內容與進度互相討論,但各項作業與考試必須獨力完成。任何有抄襲或作弊嫌疑之情事,一律送交學校生輔組學生獎懲委員會判斷與處理。
Homework學期作業: There will be individual assignments and ALL must be done individually. 上課指定該次作業,並配合助教習作課講解與討論。 Exams考試狀況: There is one midterm examination: Close book. One help sheet (A4 size, 210mm × 297mm, both sides) of handwritten notes (neither photocopied nor printed) is allowed for each exam. With the obvious exception of severe medical or other emergencies, there will be no exams given other than the announced dates and times. 計有一次考試:期中考、期末考。皆為關書測驗; 每次測驗可以攜帶一張A4尺寸手寫之幫助紙。 除特殊醫療狀況外,不得補考。 Grading評量方法: Homework (作業): 30% Midterm Examination (期中考): 40% Term paper (期末報告): 30%
- Review of Probability Theory and Random Variables
- Stochastic Process
- Continuous- Time Markov Chain
- Queueing Systems
- Simple Queueing
- Advanced Queueing
- Modern Queueing Problems
| 週次 | 主題 |
|---|---|
| 第 1 週 | - Why do we need to wait? - Random Variables, Expectation, Correlation - Gamma, Exponential, Poisson, and Weibull Distributions - Counting Process |
| 第 2 週 | - Independent and Stationary Increments - Homogeneous Poisson Process (HPP) and NHPP |
| 第 3 週 | - DTMC and CTMC - Markov and Stationary Properties |
| 第 4 週 | - Transition Diagram - Long Term Behavior |
| 第 5 週 | - Balance Equations and Limiting Probabilities - Birth and Death Processes |
| 第 6 週 | - Blowup, unsteady, or steady - Performance Measures |
| 第 7 週 | - Little’s Formula - Effective Arrival Rate |
| 第 8 週 | - M/M/1; M/M/s; M/M/s/k |
| 第 9 週 | - Bulk Arrival and Service |
| 第 10 週 | - Erlangian Models |
| 第 11 週 | - Priority Queueing |
| 第 12 週 | - General Arrival and Service |
| 第 13 週 | - Open Jackson Networks |
| 第 14 週 | - Closed Jackson Networks |
| 第 15 週 | - Queueing for Health Care |
| 第 16 週 | - Queueing for Services - Queueing for Manufacturing |
| 第 17 週 | - Simulations and Approximations |
| 第 18 週 | - Term Paper Presentation and Discussion |
Stochastic Processes, Sheldon Ross, 2nd Ed. Fundamentals of Queueing Theory, Donald Gross, John F. Shortle, James M. Thompson, and Carl M. Harris, 4th Ed. Queueing Methods: For Services and Manufacturing, Randolph W. Hall.
- 地點
- MB508
- 時間
- Tuesday-X (12:30~13:20) Or email for appointment
- 聯絡方式
- Tel: 57305 hhc@nctu.edu.tw