Welcome to the Course Page of
MATH  3170 6.00 A

Operations Research I

SU 2012

Department of Mathematics and Statistics
York University
4700 Keele Street
Toronto, Ontario  M3J 1P3

Course Organization:

Announcements

Course Information

Course Schedule

Homework

Exams Information

Links & Other Resources


Announcements

This area will contain announcements and solutions to the tests and assignments. Announcements made in class will be posted here in reverse chronological order and will not be repeated in class. Please take a minute to read the announcements carefully, as they often get updated. You may need to Reload/Refresh this page.
 

August 24:

Please click  here  to see  your final exam mark and unofficial letter grade

 

for the course. Also, please note that your official grade will be sent to you

 

by the Registrar's Office upon the approval by the faculty.

 

HAVE A WONDERFUL SUMMER!

August 03:

I am making available  solutions  to selected problems from Sections 9.2,

 

9.3 and 9.4.

 

As it was announced in the Wednesday's class, the Final Examination  

 

for the course will take place on Monday, August 13, 2012 from 19:00 to

 

22:00 in VH 3009. The exam will be comprehensive, covering the entire

 

course material according to the  Course Schedule but with an emphasis

 

on more recent  more recent material covered after the third test. If less

 

common formulae are needed on the exam, then those formulae will be

 

 provided on the exam. There will be several questions, some with a few

 

parts. Marks for each question will be indicated. You have to show all

 

your work, and you should explain your solutions where appropriate.

 

Unofficial final grades for the course will hopefully be posted here by

 

Friday, August 24.

 

Also please note that I will be holding additional office hours for

 

last minute questions on Tuesday, August 07 and Thursday, August 11

 

from 14:00 to 15:00.

August 02:

I am making available  solutions  to selected problems from Sections 8.2,

 

8.3, 8.4 and Chapter 8 Review Problem #4.

 

Homework Problems for Chapter 9:

 

Section 9.2 #1, 3, 10, 11, 12, 15, 20, 21, 22 and 23;

 

Section 9.3 #1, 2, 3, 7 and 9; Section 9.4 #1 and 3.

July 31:

I am making available a scanned copy of  solutions  to Test #3 questions

 

in PDF format. Please note that the test papers will be returned in the class

 

tomorrow.

July 30:

Homework Problems for Chapter 8:

 

Section 8.2 #1, 2, 4, 6 and 9; Section 8.4 #2, 3, 4, 5, 14 and 16;

 

Section 8.6 #1 and 2; Chapter 8 Review Problem #4.

July 24:

I am making available  solutions  to selected problems from Sections 7.1,

 

7.2, 7.3, 7.5, 7.6 and Chapter 7 Review Problem #5.

July 23:

As it was announced in the class today, we will write Test #3 during the

 

lecture period from 18:00 to 19:15 on Wednesday, July 25. On the test

 

you will be responsible for all the material covered in class from Sections

 

6.3, 6.5-6.9, 7.1-7.3, 7.5 and 7.6 of the textbook.

July 17:

Please note that the student course evaluations are available on-line at

 

the URL link  http://courseevaluations.yorku.ca  from July 13, 2012 to

 

August 3, 2012. It is the time for you to be the judge. Please go on-line

 

and complete the course evaluation.

July 16:

I am making available  solutions  to selected problems from Sections 6.3,

 

6.5-6.9.

July 13:

Homework Problems for Chapter 7:

 

Section 7.1 # 1, 3, 5, 7; Section 7.2 #1 (for 7.1 Problem 1 only) and #3

 

(for 7.1 Problem 5 only); Section 7.3 (for 7.1 Problems 1 and 5 only);

 

Section 7.5 #1, 2, 3, 4, 6; Section 7.6 #1, 2, 3, Chapter 7 Review Problem #5.

July 09:

Please note that the graded Test #2 papers will be returned in the class today.

July 04:

I am making available a scanned copy of  solutions  to Test #2 questions

 

in PDF format.

June 27:

I am making available  solutions  to selected problems from Sections 4.11,

 

4.12, 4.14, 4.16,  6.1, 6.2 and Review Problem #19 from Chapter 4.

June 26:

As it was announced in the class yesterday, we will write Test #2 during the

 

lecture period from 18:00 to 19:15 on Wednesday, June 27. On the test you

 

will be responsible for all the material covered in class from Sections 4.3-4.12,

 

4.14, 4.16 and 6.1-6.2 of the textbook.

June 25:

Homework Problems for Chapter 6:

 

Section 6.1 # 1, 2, 3, 5 (each Radio 2 requires 1 (not 2) Laborer-2 hour);

 

Section 6.2 # 1, 2; Section 6.3 # 1, 2, 3, 4, 5; Section 6.5 # 1, 2, 3, 4, 5, 6;

 

Section 6.6 # 1, 2; Section 6.7 # 1, 2, 3, 4; Section 6.8 # 2, 3, 5, 6;

 

Section 6.9 # 1, 2, 3.

June 19:

As it was announced in the class yesterday, the Wednesday class for June 20

 

has been cancelled. The make-up class will take place on Thursday, June 21

 

from 18:00 to 21:00 in CB 115.

June 18:

I am making available solutions to selected problems from Sections 4.4, 4.5,

 

4.6, 4.7, 4.8 and 4.10.

June 05:

I am making available solutions to Test #1 questions and the scanned copy

 

of page 4 of the test paper in PDF format. Please note that the graded test

 

papers will hopefully be returned in the class on Monday, June 11.

May 29:

As it was announced in the class yesterday, we will write Test #1 during the

 

lecture period from 18:00 to 19:15 on Wednesday, May 30. On the test you

 

will be responsible for all the material covered in class from Sections 3.1-3.6,

 

3.8-3.11 and 4.1-4.2 of the textbook.

May 28:

I am making available solutions to selected problems from Sections 3.7, 3.8,

 

3.9, 3.10, 3.11 and 4.1.

May 24:

Homework Problems for Chapter 4:

 

Section 4.1 # 1, 2, 3; Section 4.4 # 1, 2, 4, 6, 7; Section 4.5 # 1, 2, 3,

 

 4, 5; Section 4.6 # 1, 4; Section 4.7 # 1, 2, 9; Section 4.8 # 1, 4, 5, 6;

 

Section 4.10 # 4; Section 4.11 # 1, 2, 4; Section 4.12 # 1, 2, 4, 5;

 

Section 4.14 # 1, 2, 4; Section 4.16 # 6, 7; Review  Problem #19.

May 23:

I am making available solutions to selected problems from Sections 3.1, 3.2,

 

3.3, 3.4, 3.5 and 3.6.

May 14:

Please note that Tutorials for the course will be done in MathLab, S525 Ross

 

Building, which is open throughout the term every week: Monday-Thursday

 

from 16:20 to 17:50, also Mondays from 10:30 to 12:00 P.M. and Thursdays

 

from 13:30 to 15:00. As it was announced in the class the last week, you may

 

approach with your questions to Don Yu on Mondays and Wednesdays from

 

16:20 to 17:50, who is responsible for the course in MathLab.

 

For more information on the MathLab please check the web page at:

 

http://www1.math.yorku.ca/new/content/math-lab

May 10:

As it was announced in the class yesterday, effective Monday, May 14, 2012

 

lecture room has been changed to ACE 005.

May 07:

Welcome back!

 

To view and/or print  PDF  files you need to download the Acrobat Reader 

 

Homework Problems for Chapter 3:

 

Section 3.1 #2, 3, 5; Section 3.2 #4, 5, 6; Section 3.3 #2, 3, 6,  9;

 

Section 3.4 #1, 3; Section 3.5 #1, 6; Section 3.6 #4;

 

Section 3.7 #1; Section 3.8 #1, 4,10; Section 3.9 #1, 12;

 

Section 3.10 #1, 9; Section 3.11 #4, 9.


Course Information

Course:

Session:

SU 2012

 

Section:

A

 

Lectures (time and venue):

M/W 18:00 - 21:00, ACE 005

Instructor:

Name:

Dr. Iulduz Raguimov

 

Office:

S512 Ross

 

E-mail:

raguimov@mathstat.yorku.ca

 

Phone:

416-736-2100, Ext. 66092

 

Office Hours:

W/R 15:00-16:00, also by appointments

TA

Name:

Don Yu

 

E-mail:

wonchae@yorku.ca

Grading:

Three Class Tests:

20% each

 

Final Examination:

40%


Course Description:  An introductory course in Operations Research. The course deals with standard optimization techniques used in Operations Research. The main topics include: a) Linear Programming: the theory and applications of linear programming including the simplex algorithm, duality theorem, postoptimality analysis, and a discussion of the types of problems that lead to linear programming problems; b) Transportation Problems: the transportation algorithm with applications to network flows, assignment problems, shortest-route problems, and critical path scheduling; c) Integer Programming: a study of the situations leading to integer-programming problems, branch-and-bound algorithm for solving such problems; d) Dynamic Programming: an introduction to the concepts of dynamic programming with a discussion of typical problems and their solutions. The emphasis will be on practical problems representative of the field of operations research. With the help of notes and class instructions students will be introduced to the optimization solver software LINDO/LINGO and the spreadsheet. For a more detailed list of topics with references to the textbook, please see Course Schedule.

Textbook:

Operations Research: Applications and Algorithms, Fourth Edition

by Wayne L. Winston 

 

Books/Cole, Thomson, 2004. ISBN 0-534-42358-2

Optional Aids:

Student Solutions Manual for Operations Research, Fourth Edition

 

by Wayne L. Winston

 

Books/Cole, Thomson, 2004. ISBN 0-534-42360-4

 

Course Prerequisites:

AP/SC/AK/MATH 1021 3.0 or AP/SC/MATH 1025 3.0 or AP/SC/MATH 2021 3.0

 

or AP/SC/AK/MATH 2221 3.0, plus AP/AK/SC/CSE/COSC 1520 3.0 or

 

AP/AK/SC/CSE/COSC 1540 3.0 or AP/AK/SC/CSE/COSC 1020 3.0 or 

 

equivalent. Students who do not have the prerequisites must see me within the

 

first two weeks of the classes.

 

 

Course Credit

AK/MATH 2751 3.0, AK/MATH 3490 6.0, AK/ADMS 3351 3.0,

Exclusions:

AK/SCE/COSC 3450 6.0, AK/ECON 3120 3.0.

 

Important Dates:

May 07: Classes commence

May 18: The last date to enrol in the course without my permission

June 01: The last date to enrol in the course with my permission

July 10: The last date to drop the course without receiving a final grade

 

August 01: Classes end

August 07-17: Final examination, TBA.


Course Schedule
(subject to any changes announced in class)

WEEK

SECTIONS

COMMENTS

May 7-11

Introduction, Ch.1, 3.1-3.2

Classes begin on Monday, May 07. 

May 14-18

3.3-3.6

 

May 21-25

3.8-3.10

No classes on Monday, May 21.

May 28-June 1 

3.11, 4.1-4.2, Test #1

Test #1 will take place on Wednesday, May 30.

June 4-8 

4.3-4.7

 

June 11-15 

4.8-4.12

 

June 18-22 

4.14, 4.16, 6.1

 

June 25-29 

6.2-6.3, Test #2

Test #2 will take place on Wednesday, June 27.

July 2-6

6.5-6.6

No classes on Monday, July 2.

July 9-13

6.7-6.9, 7.1-7.2

 

July 16-20

7.3, 7.5-7.6

 

July 23-27

8.1-8.2,  Test #3

Test #3 will take place on Wednesday, July 25.

July 30 -Aug 1 

8.4, 9.1-9.4, Review

Classes end on Wednesday, August 01.

August 7-17

Final Examination

TBA.

Note: The course will not cover all the sections of the chapters of the textbook.


Homework  

Throughout the term, homework problems will be posted to the Announcements Section of the course web page. In order to develop your understanding of the course material you must do all assigned problems. These will not be collected for grading and hence will not directly affect your grade. However, it is extremely important that you complete all assigned exercises. Do not memorize them. Rather, learn how to solve problems like them. Learning Mathematics is not a spectacular sport, it is a participatory event. There is nothing like a bit of computation to strengthen understanding in mathematics! Use the Solutions Manual only after you have tried the problem. Solutions to typical homework problems will be posted to the course web page. Successful students must keep up with homework and seek help for points they do not understand as soon as possible. Do not fall behind! It is recommended to read the relevant sections of the textbook before every class. Next to the classes, working out the answers to the problems is the most important preparation for the tests and exam that will contain for the most part but not exclusively, questions very similar to those from the textbook. It is quite practical to work on your own or together in small groups. Each student should do at least two hours of independent study for every lecture hour. The amount you learn in this course and the grade you receive will be proportional to the amount of time you spend working on problems.


Exams Information

Lecture/Exam Rules:

Please turn off all cell phones and pagers before entering the lecture hall. For tests and exam cell phones, calculators, digital dictionaries, palms, pagers or other electronic devices are NOT allowed. All such devices as well as all books, papers, knapsacks, and briefcases must be left at the front of the lecture hall. Anyone caught with electronic devices will be charged with Academic Dishonesty (see the next page). The only items you may have at your seat are pens, pencils, student ID and purses. You are responsible for all material covered in lectures.
Note: Photo identification and signing-in are required at all tests and exam.

Final Grade:

The official grades at York University are LETTER grades. Qualitative descriptions of these grades can be found in the York Calendar at this link. Your test marks will be on a numerical scale because these have to be weighted and averaged in various ways, but THERE IS NO AUTOMATIC PREDETERMINED CORRELATION BETWEEN NUMERICAL GRADES AND LETTER GRADES in this course. In particular, the "numerical" grades you receive are NOT to be interpreted as percentages; they are merely 'raw scores'. Once the tests are returned in class, the distribution of 'raw scores' will be announced along with their approximate conversion to letter grades. The median letter grade for the course will likely fall between C and C+.
The composition of the final grade is as follows:
Three class-tests (75 minutes each, written tests held in lecture periods)†††† :20% each, of the overall grade (Tentative dates for the tests: Wednesdays, May 30, June 27 and July 25).
Final examination
(3-hour exam scheduled by the Registar's Office)††††††††† :40% of the overall grade, will take place during the examination period between August 07 and 17, 2012.
Note:
Students have five days from the date of the return of test papers to appeal their marks. Some test papers (randomly selected) are photocopied before they are handed back, so we can detect subsequent alterations. Once you have written all three tests and your final exam grade is higher than your average test grade, your final exam will be counted as 60% and term grade as 40% of your overall grade for the course.

Make-up Policy:

No permission will be given to a student to write tests in advance of their scheduled dates. No make-ups will be done for the tests. A missed test will be counted as zero, except under extreme circumstances in which case the corresponding percentage of the overall grade will be "forwarded" to the final exam. If you miss a term-test for medical reasons you must turn in within one week following the test date the Attending Physician's Statement form provided  here  after getting it filled in by your doctor. No other type of medical note will be accepted. However, missing tests is extremely dangerous and not recommended. As experience has shown, students who miss class tests because of some 'mysterious illnesses' will usually average 30% on the final exam. A student who misses the final examination will be allowed to write a make-up exam only if both of the following conditions are met:
1) the student notifies me (raguimov@mathstat.yorku.ca) or the Department of Mathematics and Statistics (Undergraduate Office, N502/503 Ross Building, 416-736-2100 416-736-2100, Ext. 55902 or 33969) in advance that the exam will be missed,
2) the student submits within one week following the exam date the Attending Physician's Statement form provided  here  after getting it filled in by his/her doctor.
Students who miss the final examination and do not meet both conditions will receive a grade of F. It is student's responsibility to fill out and submit the Deferred Standing Agreement Form.
Note: Do not make vacation/job plan until the final exam date is known: having a plane ticket for Hawaii or Las Vegas on August 10 is NOT a legitimate excuse for absence from a final examination on August 16.


Religious Observance:

York University is committed to respecting the religious beliefs and practices of all members of the community and making accommodations for observances of special significance to adherents. If any of the dates specified in the course schedule for class-tests pose such a conflict, students should contact me (raguimov@mathstat.yorku.ca) within the first two weeks of classes. Please note that if the final exam date poses a conflict, students must complete the Examination Accommodation Form, which can be obtained from the Registrarís Office

Academic Honesty

Students are responsible for familiarizing themselves with University Policies and Regulations. Conduct that violates the ethical or legal standards of the university community or of oneís programme or specialization may result in serious consequences. Refer to the Senate Policy on  Academic Honesty. Photo identification and signing-in are required at all tests and exam. Also, some test papers (randomly selected) will be photocopied before they are returned so that subsequent alterations can be detected.

Communication 

Individual questions can be discussed by e-mail, or in person after class, or during office hours. Please send all e-mail notes as plain text within the body of the message. Do not send attachments nor HTML-formatted mail. Also, if the name of your account is an alias, I will not know who the mail is from unless you sign it; it also risks being accidentally discarded as junk mail. The course web page will be up-dated regularly to include important announcements made in class, such as the material to be covered on the tests. E-mail notes requesting such information contained on the web page will be answered the last.


Links and Other Resources

1- York Undergraduate Mathematics Program

2-  Online Forum

3- Download free trial version of  LINDO package

4- Download free trial version of  LINGO package


Questions and comments regarding this Web page please send to raguimov@mathstat.yorku.ca

© 2006-2012, All Rights Reserved, York University & Iouldouz S. Raguimov

Last updated on August 24, 2012