國立中山大學111學年度第2學期計量管理最佳化方法與應用課程大綱

國立中山大學 111學年度第2學期課程教學大綱

National Sun Yat-sen University 111Academic year Course syllabus

中文名稱
Course name(Chinese)

計量管理最佳化方法與應用

課號
Course Code

BM760

英文名稱
Course name(English)

OPTIMIZATION IN QUANTITATIVE MANAGEMENT

課程類別
Type of the course

講授類

必選修
Required/Selected

選修

系所
Dept./faculty

企業管理學系博士班

授課教師
Instructor

黃鋒樟

學分
Credit

因應嚴重特殊傳染性肺炎(武漢肺炎)，倘若後續需實施遠距授課，授課方式調整如下：

同步遠距【透過網路直播技術，同時進行線上教學，得採Microsoft Teams、Adobe connect等軟體進行】
同步遠距含錄影【透過網路直播技術，同時進行線上教學並同時錄影，課程內容可擇日再重播，得採Microsoft Teams、Adobe connect等軟體進行】
非同步遠距【課堂錄影或錄製數位教材放置網路供學生可非同時進行線上學習，得採EverCam、PPT簡報錄影、錄音方式進行】
實作類課程，經評估無法採遠距課程教學，後續復課後密集補課

★遠距教學軟體操作說明連結

因應嚴重特殊傳染性肺炎(武漢肺炎)，倘若後續需實施遠距授課，評分方式調整如下：

1.Participation in class activities：10%
2.Written assignment：40%
3.Problem-solving task：50%

課程大綱 Course syllabus

本課程教學大綱已提供完整英文資訊（本選項僅供統計使用，未提供完整英文資訊者，得免勾記）【Provide information of course syllabus in English.(This is for statistical use only. For those who do not provide information of course syllabus in English, do not check this field.)】

1. Linear Programming: Concepts and Techniques
- Revision of Linear Algebra
- Simplex Method in Tabular Form
- Simplex Method in Algebraic Form
- Big-M method and Two-phase Simplex Method
- Revised Simplex Method
- Sensitivity Analysis
- Duality Theory and Dual Simplex Method
2. Introduction to Nonlinear Programming
- Unconstrained Nonlinear Programming: Steepest Descent Method and Newton's Method
- Constrained Nonlinear Programming: Lagrangian Relaxation Method
3. Introduction to Integer Programming
- Branch-and-Bound Method
- Cutting Plane Method

課程目標 Objectives

This course is intended to introduce optimization concepts and methods of quantitative management that form an indispensable part of commercial decision support systems in such diverse fields as supply chain management, transport logistics, production planning and scheduling. It focuses on optimization techniques for linear models, basic concepts of nonlinear optimization, and various applications of these methods.

授課方式 Teaching methods

Lectures, interactive discussions, and problem-solving tasks

評分方式﹝評分標準及比例﹞Evaluation (Criteria and ratio)等第制單科成績對照表 letter grading reference

1.Participation in class activities：10%
2.Written assignment：40%
3.Problem-solving task：50%

參考書/教科書/閱讀文獻 Reference book/ textbook/ documents
〔請遵守智慧財產權觀念，不可非法影印。教師所提供之教材供學生本人自修學習使用,不得散播及做為商業用途〕
No copies for intellectual property rights. Textbooks provided by the instructor used only for self-study, can not broadcast or commercial use

序號	作者	書名	出版社	出版年	出版地	ISBN#
No.	Auther	Title	Publisher	Year of publish	Publisher place	ISBN#
1	W.L. Winston	Operations Research: Applications and Algorithms	Thomson	2004		9780534380588
2	I. Griva, S.G. Nash, A. Sofer	Linear and Nonlinear Optimization	SIAM	2009		9780898716610

彈性暨自主學習規劃 Alternative learning periods

本門課程是否有規劃實施學生彈性或自主學習內容（每1學分2小時）

Is any alternative learning periods planned for this course (with each credit corresponding to two hours of activity)?

否：教師需於「每週課程內容及預計進度」填寫18週課程進度（每1學分18小時之正課內容）。
No：The instructor will include an 18-week course plan in the weekly scheduled progress (each credit corresponds to 18 hours of instruction)

是：教師需於「每週課程內容及預計進度」填寫16週課程內容（每1學分16小時之正課內容），並於下列欄位填寫每1學分2小時學生彈性或自主學習內容。
Yes：The instructor will include a 16-week course plan in the weekly scheduled progress (each credit corresponds to 16 hours of instruction);the details of the planned alternative learning periods are provided below (each credit corresponds to two hours of activity).

學生彈性或自主學習活動 Alternative learning periods	勾選或填寫規劃內容 Place a check in the appropriate box or provide details	時數 Number of hours
學生分組實作及討論 Group work and discussion
參與課程相關作業、作品、實驗 Participation in course-related assignments, work, or experiments
參與校內外活動（研習營、工作坊、參訪）或競賽 Participation in on- or off-campus activities (e.g., seminars, workshops, and visits) or competitions
課外閱讀 Extracurricular reading
線上數位教材學習 Learning with online digital learning materials
其他（請填寫規劃內容） Other (please provide details)

每週課程內容及預計進度 Weekly scheduled progress

週次	日期	授課內容及主題
Week	Date	Content and topic
1	2023/02/12~2023/02/18	Initiation: Preparing for the Course
2	2023/02/19~2023/02/25	Mathematical Programming: Concepts and Examples; Revision for Linear Algebra; Graphical Solution of Linear Programming Problems
3	2023/02/26~2023/03/04	Bank Holiday
4	2023/03/05~2023/03/11	Linear Programming: Basics and Fundamental Law; Simplex Method in Tabular Form
5	2023/03/12~2023/03/18	Simplex Method in Algebraic Form
6	2023/03/19~2023/03/25	Big-M method and Two-phase Simplex Method
7	2023/03/26~2023/04/01	Revised Simplex Method
8	2023/04/02~2023/04/08	Bank Holiday
9	2023/04/09~2023/04/15	Midterm Examination Week
10	2023/04/16~2023/04/22	Sensitivity Analysis
11	2023/04/23~2023/04/29	Duality Theory and Dual Simplex Method
12	2023/04/30~2023/05/06	Unconstrained Nonlinear Programming: Steepest Descent Method and Newton's Method
13	2023/05/07~2023/05/13	Constrained Nonlinear Programming: Lagrangian Relaxation Method
14	2023/05/14~2023/05/20	Integer Programming (I): Branch-and-Bound Method
15	2023/05/21~2023/05/27	Integer Programming (II): Cutting Plane Method
16	2023/05/28~2023/06/03	Final Examination Week
17	2023/06/04~2023/06/10	TBA
18	2023/06/11~2023/06/17	TBA

課業討論時間 Office hours

時段1 Time period 1:
時間 Time：星期二17:00-19:00
地點 Office/Laboratory：CM 3022
時段2 Time period 2：
時間 Time：星期三16:00-18:00
地點 Office/Laboratory：CM 1037

系所學生專業能力/全校學生基本素養與核心能力 basic disciplines and core capabilitics of the dcpartment and the university

系所學生專業能力/全校學生基本素養與核心能力
basic disciplines and core capabilities of the department and the university

課堂活動與評量方式
Class activities and evaluation

本課程欲培養之能力與素養 This course enables students to achieve.

紙筆考試或測驗 Test.

課堂討論︵含個案討論︶ Group discussion (case analysis).

個人書面報告、作業、作品、實驗 Indivisual paper report/ assignment/ work or experiment.

群組書面報告、作業、作品、實驗 Group paper report/ assignment/ work or experiment.

個人口頭報告 Indivisual oral presentation.

群組口頭報告 Group oral presentation.

課程規劃之校外參訪及實習 Off-campus visit and intership.

證照/檢定 License.

參與課程規劃之校內外活動及競賽 Participate in off-campus/ on-campus activities and competitions.

課外閱讀 Outside reading.

※系所學生專業能力 Basic disciplines and core capabilities of the department

1.學術研究(academic research) 1. Academic research.

2.高等管理知識(advanced knowledge in management) 2. Advanced knowledge in management.

3.倫理觀(ethical practice) 3. Ethical practice.

4.問題分析能力(analysis of problems) 4. Analysis of problems.

※全校學生基本素養與核心能力 Basic disciplines and core capabilities of the university

1.表達與溝通能力。 1. Articulation and communication skills

2.探究與批判思考能力。 2. Inquisitive and critical thinking abilities

3.終身學習能力。 3. Lifelong learning

4.倫理與社會責任。 4. Ethnics and social responsibility

5.美感品味。 5. Aesthetic appreciation

6.創造力。 6. Creativity

7.全球視野。 7. Global perspective

8.合作與領導能力。 8. Team work and leadership

9.山海胸襟與自然情懷。 9. Broad-mindedness and the embrace of nature　

本課程與SDGs相關項目：The course relates to SDGs items:


	SDG1-消除貧窮(No Poverty)
	SDG2-消除飢餓 (Zero Hunger)
	SDG3-良好健康與福祉(Good Health and Well-being)
	SDG4-教育品質(Quality Education)
	SDG5-性別平等(Gender Equality)
	SDG6-乾淨水源與公共衛生(Clean Water and Sanitation)
	SDG7-可負擔乾淨能源(Affordable and Clean Energy)
	SDG8-優質工作與經濟成長(Decent Work and Economic Growth)
	SDG9-工業、創新和基礎建設(Industry,Innovation and Infrastructure)
	SDG10-減少不平等(Reduced Inequalities)
	SDG11-永續城市(Sustainable Cities and Communities)
	SDG12-責任消費與生產(Responsible Consumption and Production)
	SDG13-氣候行動(Climate Action)
	SDG14-海洋生態(Life Below Water)
	SDG15-陸域生態(Life on Land)
	SDG16-和平、正義和穩健的制度(Peace,Justice And Strong Institutions)
	SDG17-促進目標實現的全球夥伴關係(Partnership for the Goals)
	本課程和SDGS無關

本課程校外實習資訊: This course is relevant to internship:

本課程包含校外實習（本選項僅供統計使用，無校外實習者，得免勾記）
The course includes internship.(For statistical use only. If the course without internship, please ignore this item.)

實習定義：規劃具有學分或時數之必修或選修課程，且安排學生進行實務與理論課程實習，於實習終了取得考核證明繳回學校後，始得獲得學分；或滿足畢業條件者。(一般校內實習請勿勾選此欄位)

Internship: The required or elective courses should include credits and learning hours. Students should participate in the corporative company or institution to practice and learn the real skills. An internship certification must be handed in at the end of internship to get the credits or to fulfil the graduation requirements.

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