4.8
stars
122 ratings
•
37 reviews

孔令傑 (Ling-Chieh Kung)

7,600 already enrolled

Offered By

Operations Research (1): Models and Applications

National Taiwan University

About this Course

53,928 recent views

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.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Beginner Level

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

Approx. 11 hours to complete

English

Subtitles: English

What you will learn

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.

Skills you will gain

ModelingBusiness AnalyticsMathematical Optimization

Flexible deadlines

Reset deadlines in accordance to your schedule.

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Beginner Level

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

Approx. 11 hours to complete

English

Subtitles: English

Instructor

Instructor rating

4.88/5 (56 Ratings)

孔令傑 (Ling-Chieh Kung)

副教授 (Associate Professor)

資訊管理學系 (Department of Information Management)

40,769 Learners

8 Courses

Offered by

National Taiwan University

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.

Syllabus - What you will learn from this course

Week

Week 1

2 hours to complete

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.

2 hours to complete

6 videos (Total 83 min), 1 reading, 1 quiz

Week

Week 2

2 hours to complete

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.

2 hours to complete

15 videos (Total 129 min)

15 videos

2-0: Opening. 4m

2-1: Introduction.3m

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

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

2-4: Linear programming.7m

2-5: Graphical approach.12m

2-6: Three types of LPs.7m

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

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

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

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

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

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

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

2-14: Closing remarks.5m

1 practice exercise

Quiz for Week 220m

Week

Week 3

2 hours to complete

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.

2 hours to complete

15 videos (Total 128 min)

15 videos

3-0: Opening.6m

3-1: Introduction.8m

3-2: IP formulation (1).11m

3-3: IP formulation (2).9m

3-4: Facility location – Overview.4m

3-5: Facility location – Covering.10m

3-6: Facility location - UFL.8m

3-7: Machine scheduling - Overview.7m

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

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

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

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

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

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

3-14: Closing remarks. 8m

1 practice exercise

Quiz for Week 320m

Week

Week 4

2 hours to complete

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.

2 hours to complete

15 videos (Total 114 min)

15 videos

4-0: Opening.5m

4-1: Introduction.12m

4-2: The EOQ problem.8m

4-3: Formulating the EOQ model.9m

4-4: The portfolio optimization problem.8m

4-5: Portfolio optimization.9m

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

4-7: Linearizing max_min functions.10m

4-8: Linearizing products 1A.5m

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

4-10: Linearizing products 2A.4m

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

4-12: Remarks - why linearization.3m

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

4-14: Closing remarks.2m

1 practice exercise

Quiz for Week 420m

Reviews

4.8

37 reviews

5 stars
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4 stars
11.71%
3 stars
1.56%
1 star
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TOP REVIEWS FROM OPERATIONS RESEARCH (1): MODELS AND APPLICATIONS

by AJMay 9, 2021

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!

by NUAug 28, 2021

Great course for those who wishes to get started with OR. explanation is good and problems are hard which help us cement the concept.

by SKJul 5, 2021

Great instructor and really good material! Would have liked if he had provided references for further reading (books).

by RIApr 20, 2021

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

View all reviews

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Operations Research (1): Models and Applications

Operations Research (1): Models and Applications