Operations Research (1): Models and Applications

4.7
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62 個評分

孔令傑 (Ling-Chieh Kung)

4,145 人已註冊

提供方

Operations Research (1): Models and Applications

国立台湾大学

課程信息

41,902 次近期查看

Operations Research (OR) is a field in which people use mathematical and engineering methods to study optimization problems in Business and Management, Economics, Computer Science, Civil Engineering, Industrial Engineering, etc. This course introduces frameworks and ideas about various types of optimization problems in the business world. In particular, we focus on how to formulate real business problems into mathematical models that can be solved by computers.

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立即開始，按照自己的計劃學習。

初級

This course is appropriate for beginners with no prior analytics experience.

完成時間大約為11 小時

英語（English）

字幕：英語（English）

您將學到的內容有

Formulate different types of mathematical models to tackle optimization problems with business applications.

Technically, the concepts and applications of Linear Programming, Integer Programming, and Nonlinear Programming will be delivered.

Solve an optimization problem with one of the most accessible software: Microsoft Excel.

您將獲得的技能

ModelingBusiness AnalyticsMathematical Optimization

可靈活調整截止日期

根據您的日程表重置截止日期。

可分享的證書

完成後獲得證書

100% 在線

立即開始，按照自己的計劃學習。

初級

This course is appropriate for beginners with no prior analytics experience.

完成時間大約為11 小時

英語（English）

字幕：英語（English）

講師

授課教師評分

4.8/5 （26 個評分）

孔令傑 (Ling-Chieh Kung)

副教授 (Associate Professor)

資訊管理學系 (Department of Information Management)

31,875 個學生

8 門課程

提供方

国立台湾大学

We firmly believe that open access to learning is a powerful socioeconomic equalizer. NTU is especially delighted to join other world-class universities on Coursera and to offer quality university courses to the Chinese-speaking population. We hope to transform the rich rewards of learning from a limited commodity to an experience available to all.

教學大綱 - 您將從這門課程中學到什麼

週

週 1

完成時間為 2 小時

Course Overview

This lecture gives students an overview of what they may expect from this course, including the fundamental concept and brief history of Operations Research. We will also talk about how mathematical programming can be used to solve real-world business problem.

完成時間為 2 小時

6 個視頻（總計 83 分鐘）, 1 個閱讀材料, 1 個測驗

週

週 2

完成時間為 2 小時

Linear Programming

Linear programming (LP) is one of the most important method to achieve the outcome of optimization problems. We can use LP models for various decisions, including production, inventory, personnel scheduling, etc.

完成時間為 2 小時

15 個視頻（總計 129 分鐘）

15 個視頻

2-0: Opening. 4分鐘

2-1: Introduction.3分鐘

2-2: Elements of a mathematical program (1).9分鐘

2-3: Elements of a mathematical program (2).12分鐘

2-4: Linear programming.7分鐘

2-5: Graphical approach.12分鐘

2-6: Three types of LPs.7分鐘

2-7: Simple LP formulation - Product mix.12分鐘

2-8: Simple LP formulation - Production and inventory.13分鐘

2-9: Simple LP formulation - Personnel scheduling.8分鐘

2-10: Compact LP formulation - Production and Inventory.11分鐘

2-11: Compact LP formulation – Product mix.7分鐘

2-12: Computers – The Solver add-in and Example 1 – producing desks and tables. 8分鐘

2-13: Computers – Example 2: personnel scheduling.4分鐘

2-14: Closing remarks.5分鐘

1 個練習

Quiz for Week 220分鐘

週

週 3

完成時間為 2 小時

Integer Programming

In many practical areas, some of the optimization problems occur with integrality constraints imposed on some of the variables. Facility location, machine scheduling, and vehicle routing are some examples. Integer Programming (IP) provides a mathematical way to solve these problems.

完成時間為 2 小時

15 個視頻（總計 128 分鐘）

15 個視頻

3-0: Opening.6分鐘

3-1: Introduction.8分鐘

3-2: IP formulation (1).11分鐘

3-3: IP formulation (2).9分鐘

3-4: Facility location – Overview.4分鐘

3-5: Facility location – Covering.10分鐘

3-6: Facility location - UFL.8分鐘

3-7: Machine scheduling - Overview.7分鐘

3-8: Machine scheduling - Completion time minimization.12分鐘

3-9: Machine scheduling - Makespan minimization.7分鐘

3-10: Traveling salesperson problem - Basics.11分鐘

3-11: Traveling salesperson problem - Subtour elimination.13分鐘

3-12: Computers – Example 1 – personnel scheduling.3分鐘

3-13: Computers – Example 2 – facility location.5分鐘

3-14: Closing remarks. 8分鐘

1 個練習

Quiz for Week 320分鐘

週

週 4

完成時間為 2 小時

Nonlinear programming

In the real life, many problems involve nonlinearities. Examples include pricing, inventory, and portfolio optimization. For such problems, we may use Nonlinear Programming (NLP) to formulate them into models and solve them.

完成時間為 2 小時

15 個視頻（總計 114 分鐘）

15 個視頻

4-0: Opening.5分鐘

4-1: Introduction.12分鐘

4-2: The EOQ problem.8分鐘

4-3: Formulating the EOQ model.9分鐘

4-4: The portfolio optimization problem.8分鐘

4-5: Portfolio optimization.9分鐘

4-6: Linearizing an absolute value function.10分鐘

4-7: Linearizing max_min functions.10分鐘

4-8: Linearizing products 1A.5分鐘

4-9: Linearizing products 1B 1C and 1D.7分鐘

4-10: Linearizing products 2A.4分鐘

4-11: Linearizing products 2B, 2C, and 2D. 9分鐘

4-12: Remarks - why linearization.3分鐘

4-13: Computers – Portfolio optimization problem. 5分鐘

4-14: Closing remarks.2分鐘

1 個練習

Quiz for Week 420分鐘

審閱

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18 條評論

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3 stars
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1 star
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來自OPERATIONS RESEARCH (1): MODELS AND APPLICATIONS的熱門評論

由 AJ 提供2021年5月9日

I am new to this field of operations research and I really enjoyed this course, learned a lot. I never used math before this way, it was great fun! Thanks!

由 RI 提供2021年4月20日

Nice introductory course for Linear Programming with a variety of real life application examples.

由 VQ 提供2021年4月11日

Explanation right on the important things, what a course, thank you very much!!!!

由 ZW 提供2021年4月17日

Love the course very much. The quiz questions are extremely well designed.

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Operations Research (1): Models and Applications

Operations Research (1): Models and Applications