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Jayant
Rajgopal
1032
Benedum Hall
Industrial
Engineering
University
of Pittsburgh
Pittsburgh,
PA 15261
Tel.
+1 412 624 9840
Fax +1
412 624 9831
rajgopal@pitt.edu
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Please
be sure to check this page on a regular basis
for updated announcements relating to the
course.
Date: April 16,
2020 (PLEASE READ)
- Link to
tonight's class session
(will be posted soon as it
is available), and link to
the OneNote
file
with my writing.
- I have
posted solutions to HW10 along
with HW11; this
is due at 6 PM on Tuesday,
April 21. I will
post solutions to it right
after that, which you can
use to study for your final exam.
- Exam
2 for all of
you in the US will be
during the class time
next Thursday
(April 23) - for
those of you who are
NOT in the US, I
will be contacting
you separately to make
arrangements.
I will e-mail the exam
to you at around 5:00
PM, and you will have
until 7:45
to work on it. You
will then submit the
exam via Courseweb,
making sure to name it LastnameFinal.xxx;
you
can type you
answers into a file
or write by hand on
paper
and scan it or
take a picture - whatever
is convenient.
Just make sure
that I can
read your
answers
clearly.
Your
answers should
be turned into
Courseweb
(look under Assignments
for Exam
2) no
later than 8
PM.
That
way you have
15 minutes to
save and
upload your
work.
- You
should work on your
exam INDIVIDUALLY
with no outside
help - you will
be signing
an
affirmation to this
effect that you will
e-mail back to me.
Although the exam
is
open-book/open-notes,
I
strongly
suggest making up a
help
sheet like
you did for Exam
1 - if you depend on
your textbook
or notes to provide
you with every answer,
I
can guarantee
that you will
NOT have enough
time to finish
the exam and
turn it in on
time!
- This test will cover everything
we've seen after the first test: (duality,
transportation/assignment/transshipment,
networks, integer programming,
CPM/PERT). You are responsible for
everything we did in class and not responsible
for anything in the book or notes that we did
NOT cover. Sections of the text that we
covered include: 6.5, 6.6, the duality
theorems in 6.7 (no proofs), 7.1, 7.5, 7.6,
8.1, 8.2, 8.3, 8.4 (up to page 437), 8.5 (page
450-451 only), 8.6, 9.1, and 9.2 (up to page
490).
- If you have not yet done so, I would
much appreciate it if you could please
complete the OMET course evaluations for this
class - you should already have received an
e-mail with instructions, otherwise check from
your my.pitt.edu
page.
- Finally, since this is probably the
last set of announcements for the term, I want
to thank you for your patience and cooperation
during a very difficult semester for all of
us. I've enjoyed teaching this course and
having you guys in class even under these
non-ideal conditions. Good luck on all
of your upcoming exams and have a safe and
pleasant summer.
Date: April 09,
2020
- Link to tonight's
class session (will
be posted soon as it is
available)
- I have
posted solutions to HW9 along
with HW10; this
is due at the beginning of
class, a week from today on
April 16
Date: April 02,
2020
- Link to
tonight's class session
(will be posted soon as it
is available)
- Link
to the OneNote
file with my
notes
- I have
posted HW9,
which is due before the
beginning of class next
week.
Please
submit your
homework
over Courseweb.
Important:
It MUST be in
MS-Word format
and your
submission MUST
be named FirstnameLastname-HW9.docx. Also, please
remember to
write your
names on your
submission;
several people
did not do so
and this makes
it very inconvenient
for
my grader!
- Please
be aware that
I am still
available for
office hours
between 3:30
and
4:30 PM,
Mon/Wed!
Just send me
an e-mail
if you have
short
questions.
If you would
like me to
spend more
time with you in
person, send
me a
Zoom
invitation for
when
you would like
to meet
during the
office hours
(or suggest a
couple of time
slots
and I will
send you an invitation).
Date: March 25,
2020
- Here is the link
to tonight's class
session
- Here is a
link to the OneNote
file with my notes
(not very clear I'm
afraid; I will try and
write neater next time -
it's
hard to do this
properly on a tablet
because I am not used
to it!)
- I have
posted HW8, which is due
before the beginning of
class next week. IMPORTANT:
Please
submit your homework
over Courseweb.
It MUST be in
MS-Word format
and your
submission MUST
be named FirstnameLastname-HW8.docx.
If
your
submission does
not follow these
format guidelines
it will NOT be
accepted or graded.
I am sorry, but
trying to manage
this is too
difficult if you
don't follow these
simple guidelines!
Date: March 20,
2020
(IMPORTANT: Please read!)
- I have posted
solutions to HW7 that you
handed in yesterday. I have also
posted the last two sets
of notes for the remainder
of the
term in the Web
Documents section of
this site.
- Here
are solutions
to Exam 1. I will post
your grades on Courseweb later today or
over the weekend. At
this point I don't know of
a convenient way to get
your graded exams back to
you - it's simply not
feasible for me to scan
answer booklets (multiple
in many cases) from 26
students, page-by-page
at home! Moreover, neither
faculty nor students
will be able to access
Benedum Hall after 5 PM
today so I
can't even just leave it
there for people to pick
up. Of course, this
might change in the
future...
- IMPORTANT:
You will need to follow a
system and some rules as
far as handing in future
HW assignments - the last
set of submissions via
Courseweb was a complete
mess! I understand
this is new for all of
us and I'm not blaming
you, but
we do need to be more
organized to make things
work more smoothly in the
future. Your
co-operation would be much
appreciated in following
these two rules:
- With
the last submission
many of your file
names
didn't identify
you, and
even worse,
several did not
have names
inside with
the solutions
in the file
either!
This makes
things
impossible to
handle. Please
type your name
at the top of
your
file and name
it using this
convention: FirstnameLastname-HW#.docx. So, for example
JayantRajgopal-HW8.docx...
- Please
only submit
your work in a
MS-Word file
(or even just
a plain
text file).
In particular,
please do NOT
submit
pdf files.
The idea is
that I am
going to ask
my grader to
directly
annotate your
submission
when grading
and that way I
can return
that file to
you via
e-mail.
If you submit
a .pdf it
is impossible
to directly
edit it and
write in it
without a
scanner. OK,
maybe not
impossible, but
very
inconvenient
without the
correct
software!
- We
did a brief
trial Zoom
session
yesterday with
a few students
(THANK YOU to
the students
who signed in
and helped
yesterday!)
and it seemed
to work reasonably
well, but I
have no way of
saying how it
will scale up
to 27 people,
especially
with the whole
university
going online
and possible
bandwidth
issues
- anyway, we
will see on
Thursday I guess!
- I
will be
sending out an
invitation for
a Zoom meeting
for next
Thursday and
you can join
by simply
clicking on
the link in
the
invitation.
You will also
find this link
in Courseweb
in the section
that says
"Zoom Online
Class" and you
can sign on at
5:15 or
so. You
can join the
class meeting
using the
Zoom app
(desktop or
tablet) or you
can just join
through a
browser - you
do not need a
Zoom account.
That said, I
would
recommend
using the app
if possible
because it
seems slightly
more stable;
if you must
use the
browser please
do not use
Internet
Explorer/Edge
because Zoom
sound is not
compatible
with it.
On the other
hand, Chrome
does work (not
sure about
Mozilla or
Safari or
other
browsers...).
- Since
you
can all get a
free Zoom
account using
your Pitt ID
(go to
https://pitt.zoom.us)
I would
encourage you
to sign up and
play with the
Zoom app
between now
and next
Thursday.
Maybe host a
meeting and
invite a
couple of your
friends so
that you can
become
familiar with
the controls -
it's quite
simple
actually!
- Finally,
please be sure
to check this
page on a
regular basis
for important
announcements
and/or updates.
Date: March 03,
2020
- I just got your graded HW6
back from my
grader. If you want to pick yours
up, I have left these in a
brown envelope
outside my office door.
Date: February
27, 2020
- I have posted
solutions to HW6 along
with HW7; this
is due at the beginning of
class, on March 19, after
you return from the spring
recess.
-
Exam 1 is scheduled for
next Thursday, March 05. It will cover everything
we have seen as of last week (not
including what we covered in class
this evening); basically,
this means
-
LP formulations and
graphical analysis (Chapter 3)
-
The Simplex method
(Chapter 4)
-
Post-optimality
Analysis (Chapter 5)
You are
not responsible for anything in the text
that I did not cover in class.
Conversely, you are
responsible for everything that I
did cover. In addition to the
class notes, you should be comfortable
with formulations such as those in
Sections 3.4 through 3.12, the graphical
approach described in Sections 3.1
through 3.3, and the algebra and
geometry of the simplex method as
covered in the class notes and in
Sections 4.1, 4.2, 4.4 through 4.8, and
4.11 through 4.14 of the text. You
may skip the other parts of Chapter 4. You
may also skip Section 5.4 but you are responsible
for everything else in Chapter 5.
- As
mentioned in class, the exam will be
closed book/notes, but I will permit a
hand-written (i.e., no
typed or photo-copied material) formula
sheet (one side of an
8.5 by 11 in. sheet of paper) on which
you can put down what you want, and
that you will hand in with your exam.
Date: February
20, 2020
- I have posted
solutions to HW5 along
with HW6; this is
due at the beginning of class, a
week from today on February 27.
Date: February
13, 2020
- I have posted
solutions to HW4 along
with HW5; this is
due at the beginning of class, a
week from today on February 20.
Date: February
06, 2020
- I have posted
solutions to HW3 along
with HW4; this is
due at the beginning of class, a
week from today on February 13.
Date: February 03, 2020
- Once
again, we have a faculty candidate seminar
tomorrow; so office hours will run from 4:30
to 5:45 (or by appointment).
Date: January
30, 2020
- I have posted
solutions to HW2 along
with HW3; this
is due at the beginning of
class, a week from today on
February 06.
Date: January 28, 2020
- Because
of the special graduate seminar this
afternoon from our visiting faculty
candidate, office hours will be from 4:30 to
5:45 today - sorry for any inconvenience.
Date: January 23, 2020
- I
have posted solutions HW Assignment 1 along
with HW Assignment 2 on LP model
formulations; this is due at the beginning
of class a week from today on January 30. Please be sure
to start early because the
questions on this assignment
will be more challenging than
the ones on the first one!
Date: January 16, 2020
- I
have posted HW Assignment 1 on simple LP
model formulations. This is due at the
beginning of class a week from today on
January 23.
Date: January 09, 2020
- I
will update this page any time I have an
announcement that I would like to make or
when I have a document for you to download
off the web - typically, these will be
homework assignments and their solutions
which can be obtained from the homework assignments
page.
- Most
documents will be made available as .pdf
files.
- For
a further discussion on the introductory
material on O.R. from the first day's
lecture, here is a relevant (albeit old...)
chapter that
appeared in the 5th edition of Maynard's
Industrial Engineering Handbook - you may
also download a .pdf version
(or-intro.pdf).
- Also,
check out the Related
Links page for a number of interesting
OR related links on the web.
- IMPORTANT:
The class notes are on-line in the Web Documents page.
I may add some more stuff as we go along and
if I do, I will let you know. Please print
these out and collate them as a notebook; bring
these notes with you to class each and
every class session.
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