MA 354 -- Chi Li

01:640:354 - Linear Optimization

Mon/Wed 2pm-3:20pm , Tillett Hall 116


Instructor/Recitation Office Office hour Email
Chi Li HLL-513 Thursday 9:30-11am/1:30-3pm chi.li@rutgers.edu

Schedule Canvas Rutgers Zoom Policies Services

Textbook: Elementary Linear Programming with Applications (Computer Science and Scientific Computing) 2nd Edition by Bernard Kolman (Author), Robert E. Beck (Author)

Grading:
Items Homework Quizzes Midterms Final Total
Percentage 10 10 20*2 40 100

Schedule of topics (updating) and Rutgers Calendar

Week

Sections

Notes

Homeworks

Week 1: 1/20-1/23

1.1-1.2: Introduction to Linear Programming

1.1:

Due on   Solutions

Week 2: 1/26-1/30

1.3: Geometry of LP

1.4: Extremal Point, basic solutions

1.3:

Due on   Solutions

Quiz 1   Solution

Week 3: 2/2-2/6

2.1: Simplex method

Due on   Solutions

Week 4: 2/9-2/13

2.2: Degeneracy and Cycling

2.3: Artificial variables, big-M

Due on   Solutions

Quiz 2   Solution

Week 5: 2/16-2/20

3.1: Duality

3.2: Duality Theorem

Due on   Solutions

Week 6: 2/23-2/27

Computational aspects

Midterm exam 1

Midterm 1 Solution

Due on   Solutions

Week 7: 3/2-3/6

3.3: Computational relations

3.4: Dual simplex method

Due on   Solutions

Week 8: 3/9-3/13

3.5: Revised simplex method

Due on   Solutions

Quiz 3   Solution

Week 9: 3/16-3/20

Spring break

Due on   Solutions

Week 10: 3/23-3/27

3.6: Sensitivity Analysis

3.7: Computer aspects

Quiz 4   Solution

Week 11: 3/30-4/3

4.1: Integer programming

Midterm exam 2

Due on   Solutions

Week 12: 4/6-4/10

4.2: Cutting plane methods

4.3: Branch and bound methods

Midterm 2 Solution

Due on   Solutions

Week 13: 4/13-4/17

5.1: Transportation problem

5.2: Assignment problem

Due on   Solutions

Week 14: 4/20-4/24

5.3: Graphs and networks

5.4: Maximal flow problem

Due on   Solutions

Quiz 5   Solution

Week 15: 4/27-5/1

Review

Week 16: 5/4-5/8

Final Exam

Final Exam Solution

Homework

There are weekly homework due on Sunday 11pm (except for the first week). No late homeworks. The lowest two homework scores will be dropped.

Quizzes

There are 5 quizzes on Wednesday (see schedule). The lowest quiz score will be dropped.

Absences & Makeups

You are expected to attend all classes and take all quizzes and exams at the scheduled times.

•   Lectures: Regular attendance and participation are expected and are integral to your success in this class.

•   Quizzes: No makeups. The lowest(or missing) score will be dropped.

•  ˆ Exams: If you must miss an exam, you must notify your professor as soon as possible. A makeup can be offered only if the absence is due to an unavoidable emergency or religious observance.

Academic Integrity

All students in the course are expected to be familiar with and abide by the academic integrity policy. Violations of the policy are taken very seriously.

Testing Serves

The Office of Disability Services (ODS) determines full disability policies and procedures. Students with disabilities requesting accommodations must do the following: (1) consult ODS policies on requesting accommodations, and (2) present a Letter of Accommodations to the course coordinator and their instructor as early in the term as possible (see https://ods.rutgers.edu/letter-accommodation )

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