University of Illinois at Chicago

Department of Mechanical Engineering

IE 471:  Operations Research I

Fall 1999

2:00–3:15 MW

 

Instructor & TA

            Instructor:        Dr. Wei Chen                Office: 3027 ERF, Phone:  996-6072

                                    Office Hours:  3:30-5:30 pm MW

            TA:                  Dr. Xiaoping Du             Office: 2060 ERF, Phone:  413-2318

                                    Office Hours:  1:30  – 3:15 p.m. Tues. & 1:30 - 3:15 p.m. Thurs.

 

Textbook:

Operations Research:  Applications and Algorithms, Winston, W.L., 3rd Edition, International Thomson Publishing, 1994.

IE 471 Lecture Notes, available in the bookstore.

           

Objective:

The course is designed to provide industrial engineering students or others interested in operations research with an opportunity to learn the method of linear programming for improving design and operations of engineering systems, with emphasis on those problems require resource allocations.  The learning will emphasize model-formulation skills, the mathematical procedures of linear programming, and the use of software.

 

Prerequisite:  

            IE 342 – Probability and Statistics for Engineers

                                               

Policy Issues:

Homework assignments are to be completed individually.  The project may be done in groups of two to three.  Homework assignments are submitted in class before the lecture starts.  Late submittal will result in a reduction in grade of 5% per day with weekends counting as one day.  Make-up tests or homework will be given only for documented personal illness, immediate family emergency or University business.  Students must inform the instructor PRIOR to the test if they will need a make-up test. Regular and punctual attendance at all class meetings is expected of all students.

 

Grading:

Homework Assignments 20%
Three tests 45%
Final Exam 20%
Project 15%

 

Final Exam:            Tuesday, December 7, 3:30-5:30 pm.

 

Class Schedule:

 

DATE

TOPIC

READING

8-23

Course Introduction

Preface, Chapter 1

8-25

Basics of Linear Algebra

Chapter 2

8-30

Basics of Linear Algebra

 

9-1

Model Formation

Chapter 3

9-6

No Class (Labor Day)

 

9-8

Simplex Algorithm

Chapter 4

9-13

Simplex Algorithm

 

9-15

Simplex Algorithm

 

9-20

Simplex Algorithm

 

9-22

Simplex Algorithm

 

9-27

Simplex Algorithm

 

9-29

Duality Theory

Chapter 5

10-4

Test 1 (topics till 9-27)

 

10-6

Duality Theory

 

10-11

Duality Theory

 

10-13

Sensitivity Analysis

Chapter 6

10-18

Sensitivity Analysis

 

10-20

Sensitivity Analysis

 

10-25

Integer Programming

Chapter 7

10-27

Test 2 (topics till 10-20)

 

11-1

Integer Programming

 

11-3

Integer Programming

 

11-8

Integer Programming

 

11-10

Integer Programming

 

11-15

Advanced Topics

 

11-17

Test 3  (topics till 11-10)

 

11-22

Advanced Topics

 

11-24

Project Presentation

 

11-29

Project Presentation

 

12-1

Final Review