Welcome
to the Course Page of AS/SC/AK/MATH 3170 6.0 A Operations Research I 20062007 Full Year 

Department of Mathematics and Statistics 

May 03:  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!  
April 05:  As it was announced earlier, the Final Examination will take place on 
Thursday, April 12 from 9:00 A.M. to 12:00 P.M. in ACE 004.  
The exam will be comprehensive, covering the entire year's work  
according to the Course Schedule, but with an emphasis on more recent  
material from the second term. Please note that there will be NO questions  
on the material covered in class from Chapter 18 of the textbook.  
April 04:  Please click to check your grades for the termtests. If you find any discrepancy, 
please send me an email and see me before the final examination with your  
test papers.  
April 02:  Assignment #10 questions (not to be handed in, for practice only): 
Chapter 8: Review Problem #4.  
Chapter 9: Section 9.2 #12, #20, #21, #23 and #25; Section 9.3 #2, #7  
and #9; Section 9.4 #1 and #3.  
Please click to view solutions to Assignment #10 questions.  
March 29:  Please note that Assignment #9 papers were returned at the end of the class 
today, Test #3 papers will be returned in the review class on Tuesday,  
April 03.  
March 20:  I am making available solutions to Assignment #9. 
March 15:  Please note that we will write Test #3 during the lecture period on Thursday, 
March 22. On the test you will be responsible for all the material covered in class  
from Sections 7.17.3, 7.5, 7.6, 8.18.3, 8.4 (CPM only) and 8.6 of the textbook.  
March 12:  Please note that Assignment #8 papers will be returned at the end of the class 
on Tuesday, March 13.  
March 11:  As it was announced in the class on Thursday, I am posting Assignment #9 
questions (Due Tuesday, March 19 in class):  
Chapter 8: Section 8.2 #2, #4 and #9, Section 8.3 #2, #4 and #16,  
Section 8.4 #2, #5, #14 and #15, Section 8.6 #2.  
March 05:  Please note that the exam schedule has been published to the Registrar's web site. 
The course web page has been updated to show exam date, time and venue.  
However, it is your responsibility to check with official York web site in case  
of last minute changes.  
March 03:  I am making available solutions to Assignment #8. 
February 06:  Assignment #8 (Due Tuesday, February 20 in class): 
Chapter 7: Section 7.1 #1 and #5, Section 7.2 #1 (for 7.1 #1 only) and  
#3 (for 7.1 #5 only), Section 7.3 (for 7.1 #1 and #5 only), Section 7.5 #1  
and #6, Section 7.6 #3, Review Problem #5.  
January 29:  Please note that Test #2 and Assignment #7 papers will be returned in the class 
on Tuesday, January 30.  
January 16:  I am making available solutions to Assignment #7. 
January 12:  We will write Test #2 during the lecture period on Thursday, January 18. 
On the test you will be responsible for all the material covered in class from  
Sections 4.24.12, 4.14, 4.16, 4.17, 5.1 and 5.2 of the textbook.  
Please note that since January 23 is Religious Observance Day (Basant  
Panchami), we cannot move the test date to that date.  
Please also note Tutorials for Winter term will begin on Tuesday, January 16.  
Tutorial Leader for this term is KaHo Lee, time: 11:3012:20 P.M., room: N501 R.  
Further tutorial sessions will be held on the following dates: January 30, February 6  
and 27, March 6, 13, 27 and April 3 (the dates are subject to any changes  
announced in class).  
January 09:  I am making available solutions to Assignment #6. 
Assignment #7 (Due Tuesday, January 16 in class):  
Chapter 5: Section 5.1 #2 and #5(*), Section 5.2 #4 and #6.  
(*) For 5.1 #5, each Radio 2 requires 1 (not 2) hour of Laborer 2.  
January 02:  Please note that Assignment #5 papers will be returned at the end of the class 
on Thursday, January 04.  
December 06:  Assignment #6 (Due Thursday, January 04 in class): 
Chapter 4: Section 4.10 #4, Section 4.14 #4, Section 4.16 #6 and #7,  
Section 4.17 #4, Review Problem #19.  
HAVE A NICE HOLIDAY!  
November 28:  I am making available solutions to Assignment #5. 
November 23:  Please note that graded Assignment #4 papers were returned in the class today. 
November 19:  Assignment #5 (Due Tuesday, November 28 in class): 
Chapter 4: Section 4.8 #4 and #6, Section 4.11 #2 and #4, Section 4.12 #2 and #5.  
November 15:  I am making available solutions to Assignment #4. 
November 07:  Assignment #4 (Due Tuesday, November 14 in class): 
Chapter 4: Section 4.5 #3 and #5, Section 4.6 #1 and #4,  
Section 4.7 #2 and #9.  
Please also note that Assignment #3 papers will be returned at the end  
of the class on Thursday, November 09.  
November 06:  Please note that Test #1 papers will be returned in the class on Tuesday, 
November 07. I am making available solutions to the test questions.  
November 03:  I am making available solutions to Assignment #3. 
October 26:  Assignment #3 (Due Thursday, November 02, in class): 
Chapter 4: Section 4.1 #1, Section 4.4 #1, #4 and #7.  
October 19:  We will write Test #1 during the lecture period on Thursday, October 26. 
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 4.14.2 of the textbook.  
October 18:  Please note that Assignment #2 papers will be returned at the end of the class on 
Tuesday, October 24. I am making available solutions to the assignment questions.  
October 10:  Please note that Assignment #1 papers will be returned at the end of the class on 
Thursday, October 12. Also, please note that office hour for Friday, October 13  
has been cancelled.  
October 09:  Assignment #2 (Due Tuesday, October 17, in class): 
Chapter 3: Section 3.6 #4, Section 3.7 #1, Section 3.8 #10,  
Section 3.9 #12, Section 3.10 #9, Section 3.11 #9.  
Hints: For 3.6.4, cash not used in Year 1 cannot be used in Year 2.  
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).  
Please note that Tutorials for the course will begin on Wednesday, October 10.  
Tutorials Leader for Fall term is Jian Li, room: N501 Ross, time: 2:303:30 P.M.  
There will be eight tutorials in Fall term and eight tutorials in Winter term.  
October 04:  I am making available solutions to Assignment #1. 
Please note that the software manuals for LINDO you may find on 2hour reserve at  
the desk in Steacie library. You may find there also the software manuals for EXCEL  
but you should rarely need these because EXCEL itself has substantial online help files.  
To access these files, you will require a personal "ACADLABS" account; to obtain such  
an account, follow the instructions available at the Computing Commons or at this  
website, ACADLABS accounts.  
September 25:  Assignment #1 (Due Tuesday, October 03, in 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.  
September 09:  Welcome back! 
To view and/or print PDF files you need to download the Acrobat Reader 
Course:  Session:  20062007 Full Year 
Section:  A  
Lectures:  T/R 10:00  11:20 A.M., SLH A  
Instructor:  Name:  Dr. Iulduz Raguimov 
Office:  S512 Ross  
Email:  raguimov@mathstat.yorku.ca  
Phone:  4167362100, Ext. 66092  
Office Hours:  T 12:0012:30, 1:302:00pm, R 12:001:30pm and F 3:304:00pm  
TA's  Jian Li, KaHo Lee  
Tutorials:  T 11:3012:20 P.M., N501 Ross  
Grading:  Between 10 and 12 Assignments  20% 
ThreeClass Tests  15% each  
Final Examination  35% 
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 0354380581  
Optional Aids:  Student Solutions Manual for Operations Research, Fourth Edition 
by Wayne L. Winston  
Books/Cole, Thomson, 2004. ISBN 0354423604  
Course Prerequisites:  AS/SC/AK/MATH 1021 3.0 or AS/SC/MATH 1025 3.0 or AS/SC/MATH 2021 3.0 
or AS/SC/AK/MATH 2221 3.0, plus AK/AS/SC/CSE/COSC 1520 3.0 or  
AK/AS/SC/CSE/COSC 1540 3.0 or AK/AS/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:  September 07: Classes commence. 
September 21: The last date to enrol in the course without my permission.  
October 20: The last date to enrol in the course with my permission.  
December 04: Fall classes end.  
January 03: Classes resume.  
February 02: The last date to drop the course without receiving a final grade.  
February 1216: Reading Week.  
April 03: Classes end.  
April 1130: Examination period. 
(subject to any changes announced in class)
WEEK 
SECTIONS 
COMMENTS 
September 78  Introduction, 1.1  Classes begin Wednesday, September 07. 
September 1115  1.21.5, 3.13.2  
September 1822  3.33.5  
September 2529  3.6, 3.8  
October 26  3.93.10  
October 913  3.11, 4.14.2  
October 1620  4.24.4  
October 2327  4.5, Test #1  Test #1 will take place on Thursday, October 26. 
Oct 30  Nov 3  4.64.7  
November 610  4.84.9  
November 1317  4.104.11  
November 2024  4.12, 4.14  
Nov 27  Dec 1  4.16, 4.17  Fall classes end Thursday, November 30. 
January 35  5.1, 5.2  Classes resume on Thursday, January 4. 
January 812  7.1, 7.2  
January 1519  7.3, Test #2  Test #2 will take place on Thursday, January 18. 
January 2226  7.5, 7.6  
Jan 29  Feb 2  8.1, 8.2  
February 59  8.3, 8.4  
February 1216  No classes  Reading week. 
February 1923  8.6, 9.1  
Feb 26  Mar 2  9.2, 9.3  
March 59  9.3, 9.4  
March 1216  9.4, 18.1  
March 1923  18.1, Test #3  Test #3 will take place on Thursday, March 22. 
March 2630  18.2, 18.3  
April 3  Review  The classes end Tuesday, April 3. 
April 1130  Final Examination  Thursday, April 12, 2007 9:0012:00pm. in ACE 004. 
Note: The course will not cover all the sections of the textbook.
There are between 10 and 12 biweekly assignments each of which will be posted to the Announcements Section of the course web page more than one week before a due date. Each assignment consists of 6 to 7 questions, of which only a selection of questions will be graded. No late assignments will normally be accepted, but I will drop everybody's worst assignment mark. 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 are posted to the course web page after the assignments are due. It is extremely important that you complete as many problems as possible. There is nothing like a bit of computation to strengthen understanding in mathematics! 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 endofchapter 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 three 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, 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, a nongraphing, nonprogrammable
calculator and purses.
You are responsible for all material covered in lectures.
Note: Photo identification and signingin are required at all
tests and exam.
The composition of the final grade is as follows:
Between 10 and 12 biweekly assignments: 20% of the overall grade.
Three ClassTests
(75 minutes each written tests held in lecture periods): 15% each (Tentative
dates for the tests: Thursday,
October 26 of 2006;
Thursday, January 18 and Thursday, March 15 of
2007).
Final Examination (3hour exam scheduled by the Registar's Office): 35%
of the overall grade, will take place on Thursday, April 12 of 2007 from 9:00
A.M. to 12:00 P.M. in ACE 004.
All test marks you receive should be interpreted as raw scores and not
"percentages". The statistics of scores will be announced for all tests.
Students have seven days from the date of the return of a test paper to appeal
their marks. Cutoff for converting midterm scores into letter grades will be announced prior
to the drop date.
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 classtests. Missed tests 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
classtest for medical reasons you
must turn in within
one week following the test a copy of the medical
report 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, Ext. 55902
or 33969) in advance that the exam will be missed,
2)
the student submits a
copy of the medical report form provided
here after getting it filled in by his/her doctor
within one week following the exam.
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 April
20 is NOT a legitimate excuse for absence from a final exam
on April 25.
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) within the first two weeks of classes. Please note that if the final exam date poses a conflict, students must complete the Final Exam Accommodation Form, which can be obtained from the Registrar’s Office
Academic Honesty:
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.
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
Questions and comments regarding this Web page please send to raguimov@mathstat.yorku.ca
© 2006, All Rights Reserved, York University & Iouldouz S. Raguimov
Last modified May 03, 2007