Welcome
to the Course Page of
MATH 3170 6.00 A Operations Research I SU 2011 

Department of Mathematics and Statistics 

August 20:  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 Senate.  
HAVE A WONDERFUL SUMMER!  
July 29:  I am making available solutions to Assignment #6 questions. 
As it was announced in the class on Wednesday, the Final Examination  
will take place on Tuesday, August 02 from 19:00 to 22:00 in CLH J.  
The exam will be comprehensive, covering the entire course material  
according to the Course Schedule, but with an emphasis on more recent  
material covered on the second half of the course. Unofficial final grades for  
the course will (hopefully) be posted to the course web page by August 20.  
July 22:  Assignment #6 (Due on Thursday, July 28, 16:00): 
Section 8.4 #2, #5, #14 and #15, Chapter 8 Review Problem #4,  
Section 9.2 #12, #20, #21, #23 and #25; Section 9.3 #2, #7 and #9;  
Section 9.4 #1 and #3.  
July 20:  Please note that the graded Test #2 papers will hopefully be returned in the 
class on Wednesday, July 27. I am making avaialable the scanned copy of  
solutions to the test questions.  
July 17:  I am making available solutions to Assignment #5 questions. 
July 14:  As it was announced in the class yesterday, we will write Test #2 during the 
lecture period from 18:00 to 19:15 on Monday, July 18. On the test you will  
be responsible for all the material covered in class from Sections 4.64.12,  
4.14, 4.16, 5.15.2, 7.17.3, 7.57.6 and 8.18.3 of the textbook.  
Assignment #5 (will not be collected for grading):  
Section 7.1 #1 and #5, 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 and #6, Section 7.6 #3, Chapter 7 Review Problem #5,  
Section 8.2 #2, #4 and #9, Section 8.3 #2, #4 and #16.  
July 12:  Please note that Course Evaluations are available online at the URL link 
http://courseevaluations.yorku.ca until Friday, July 29. It is the time for you  
to be the judge. Please go online and complete the course evaluation.  
July 11:  I am making available solutions to Assignment #4 questions. Please note that 
the graded Assignment papers will be returned in the class on Monday, July 18.  
June 29:  As it was announced in the class yesterday, Monday class for July 4th 
has been cancelled.  
June 24:  Assignment #4 (Due on Wednesday, July 06, in the class): 
Section 4.11 #2 and #4, Section 4.12 #2 and #5, Section 4.14 #4,  
Section 4.16 #6 and #7, Review Problem #19, Section 5.1 #2 and #5(*),  
Section 5.2 #4 and #6.  
(*) For 5.1 #5, each Radio 2 requires 1 (not 2) Laborer2 hour.  
June 17:  I am making available solutions to Assignment #3 questions. Also, please note 
that Monday, June 20 is the last day to appeal your grade for Test #1.  
June 15:  As it was announced in the class on Monday, there will be MAKE UP CLASS 
on Friday, June 24 from 11:30 to 14:30 in CB 129.  
June 10:  Please note that the graded Test #1 papers will hopefully be returned in the class 
on Wednesday, June 15. I am making avaialable solutions to the test questions  
and the scanned copy of page 3 of the test paper in PDF format.  
HAVE A WONDERFUL WEEKEND!  
June 09:  Assignment #3 (will not be collected for grading): 
Section 4.5 #3 and #5, Section 4.6 #1 and #4, Section 4.7 #2 and #9,  
Section 4.8 #4 and #6, Section 4.10 #4.  
June 08:  Please note that the graded Assignment #2 papers will be returned in the 
class on Wednesday, June 08.  
June 01:  As it was announced in the class today, we will write Test #1 during the 
lecture period from 18:00 to 19:15 on Monday, June 06. On the test you  
will be responsible for all the material covered in class from Sections 1.11.5,  
3.13.6, 3.83.11 and 4.14.5 of the textbook.  
I am making available solutions to Assignment #2 questions.  
May 26:  Assignment #2 (Due on Wednesday, June 01, in the class): 
Chapter 3: Section 3.7 #1, Section 3.8 #10, Section 3.9 #12, Section 3.10  
#9, Section 3.11 #9; Chapter 4: Section 4.1 #1, Section 4.4 #1, #4 and #7.  
Hints: For 3.9.12, due to the way the products are obtained as outputs of  
different processes, not all the product produced must/can be sold;  
For 3.10.9, since there is an inventory cost, some workers may not produce  
exactly 500 mixers;  
For 3.11.9, assume each debt has a 6month term (i.e. debt plus interest must  
be repaid in cash in exactly 6 months).  
May 24:  Please note that the graded Assignment #1 papers will be returned in the class on 
Wednesday, May 25. I am making available solutions to the assinment questions.  
May 17:  As it was announced in the class yesterday, you may download free trial versions 
of LINDO and LINGO packages at the following URLs, respectively:  
http://www.lindo.com/index.php?option=com_content&view=article&id=1&Itemid=9  
http://www.lindo.com/index.php?option=com_content&view=article&id=2&Itemid=10  
Please be sure to download and use the Classic LINDO package.  
May 16:  Please note that Tutorials for the course will be done in MathLab, S525 Ross 
Building, which is open throughout the term: MondayThursday from 16:20  
to 17:50, also Mondays 10.3012:00 P.M. and Thursdays 13:3015:00.  
On Mondays and Wednesdays from 16:20 to 17:50 please approach with your  
questions to Yurong Cao, 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/mathlab  
May 09:  Assignment #1 (Due on Monday, May 16, in the class): 
Chapter 3: Section 3.1 #3, Section 3.2 #4 and #6, Section 3.3 #3 and #9,  
Section 3.4 #3, Section 3.5 #6, Section 3.6 #4.  
May 02:  Welcome back! 
To view and/or print PDF files you need to download the Acrobat Reader 
Course:  Session:  SU 2011 
Section:  A  
Lectures (time and venue):  M/W 18:00  21:00, SLH A  
Instructor:  Name:  Dr. Iulduz Raguimov 
Office:  S512 Ross  
Email:  raguimov@mathstat.yorku.ca  
Phone:  4167362100, Ext. 66092  
Office Hours:  W 16:3017:30  
TA  Name:  TBA 
Grading:  Four Assignments:  5% 
Two ClassTests:  25%+20%  
Final Examination:  50% 
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, shortestroute problems, and critical path scheduling; c) Integer Programming: a study of the situations leading to integerprogramming problems, branchandbound 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 0534423582  
Optional Aids:  Student Solutions Manual for Operations Research, Fourth Edition 
by Wayne L. Winston  
Books/Cole, Thomson, 2004. ISBN 0534423604  
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 02: Classes commence 
May 13: The last date to enrol in the course without my permission  
May 27: The last date to enrol in the course with my permission  
July 05: The last date to drop the course without receiving a final grade  
July 29: Classes end  
August 0212: Final examination, TBA. 
(subject to any changes announced in class)
WEEK 
SECTIONS 
COMMENTS 
May 26  Introduction, 1.11.5, 3.1  Classes begin on Monday, May 02. 
May 913  3.23.6  
May 1620  3.83.11  Assignment #1 is due on Monday, May 16. 
May 2327  4.14.3  No classes on Monday, May 23. 
May 30June 3  4.44.7  Assignment #2 is due on Wednesday, June 01. 
June 610  4.84.9, Test #1  Test #1 will take place on Monday, June 06. 
June 1317  4.104.12, 4.14  Assignment #3 solutions to be posted on Friday, June 17. 
June 2024  4.16, 5.15.2  
June 2730  7.17.3  
July 48  7.57.6, 8.1  Assignment #4 is due on Wednesday, July 06. 
July 1115  8.28.3, 8.6  
July 1822  8.4, 9.1, Test #2  Test #2 will take place on Monday, July 18. 
July 25 29  9.29.4, Review  Classes end on Wednesday, July 27. 
August 212  Final Examination  TBA. 
Note: The course will not cover all the sections of the textbook.
There are four biweekly assignments each of which will be posted to the Announcements Section of the course web page one week before a due date. Each assignment consists of six to eight questions, of which only a selection of questions will be graded. No late assignments will be accepted. Assignments must be individual work: plagiarism is a serious academic offence and leads to severe consequences. Refer to the Senate Policy on Academic Honesty. Assignment solutions will be posted to the course web page after the assignments are due. 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. 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.
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 signingin are required at all
tests and exam.
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:
Four biweekly assignments: 5% of the overall grade.
Two classtests
(75 minutes each written tests held in lecture periods): 25% and
20% of the overall grade, respectively (Tentative
dates for the tests: Monday,
June 6 and Monday, July 18).
Final examination (3hour exam scheduled by the Registar's Office): 50%
of the overall grade, will take place during the examination period between
August 02 and 12, 2011.
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 both tests and your final exam
grade is higher than your average test grade, your final exam will be counted as
55% and each test as 20% of your overall grade for the course.
Makeup Policy:
No permission will be given to a student to write tests
in advance of their scheduled dates. No makeups 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 termtest 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 makeup 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,
4167362100 4167362100, 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 5 is NOT a
legitimate excuse for absence from a final examination on August 10.
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 inclass tests pose such a conflict, students should contact me (raguimov@mathstat.yorku.ca) by the end of the third week 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 Registrar’s 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 one’s programme or specialization may result in serious consequences. Refer to the Senate Policy on Academic Honesty. Photo identification and signingin 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.
Individual questions can be discussed by email, or in person after class, or during office hours. Please send all email notes as plain text within the body of the message. Do not send attachments nor HTMLformatted 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 updated regularly to include important announcements made in class, such as the material to be covered on the tests. Email notes requesting such information contained on the web page will be answered the last.
1 York
Undergraduate Math Program
2
Study Groups
Questions and comments regarding this Web page please send to raguimov@mathstat.yorku.ca
© 20062011, All Rights Reserved, York University & Iouldouz S. Raguimov
Last updated on August 20, 2011