MgS 8140 Management Science
Prerequisite: Advanced Spreadsheet Skills (CSP 1, 3, 4, 7)
Linear Programming Fundamentals. Whalen & Churchill,
available online: see
|2 The entire class web structure
accessable from the schedule,
is also essential reading for the course.
|3. Course pack available at Study.net
Detailed Course Description
The course begins by considering a very simple linear resource
allocation problem to introduce linear programming, dimensional
analysis, and sensitivity analysis in a simple setting.
Progressively more complex resource
allocation problems illustrate slack and surplus variables, allocating
resources and formulation issues
Personnel shift coverage problems and assignment problems are
in themselves and also provide an introduction to the use of matrices
linear programming. Next come multi-period inventory, single
multi-period Finance, and production, inventory, and finance all
Linear transportation models lead into a section on capacitated
transshipment problems. These are key issues in supply chain
management. The problem of
warehouse location in two-stage supply chain optimization provides an
introduction to integer programming.
The next section considers blending problems, especially problems in
which there is some flexibility in the ingredients of two or more
Quadratic programming is introduced in a context of financial
portfolios , and a synthesis of quadratic and integer programming is
presented in the context of price determination. General
nonlinear programming is introduces in the context of optimal order
quantity (which is mathematically the same as optimal production runs).
The course concludes with a unit on goal programming to balance
conflicting objectives. fuzzy linear programming is briefly
introduced in the
context of goal programming.
Learning Outcomes/Course Objectives
At the conclusion of this course, the student should be able to:
Determine whether a particular business case or situation calls for
Choose an appropriate linear, nonlinear, dynamic, or fuzzy
optimization technique, and
Implement an optimization model to inform the business decision
Methods of Instruction
Instruction is by lecture and discussion, with some in-class
exercises. Homework projects are also integral to the
instruction, and students are strongly encouraged to use the
instructor as a resource throughout these projects via email and other
Grading will be based on four components, weighted equally:
* Homework Assignments
* In Cass Midterm
* Comprehensive Take Home Final Exam
A grade of A will not normally be given to students whose
is below the class mean or median
Homework assignments are integral to the instruction, and
students are strongly encouraged to use the instructor as a resource
throughout these projects via email and other methods.
If homework is turned in on time, you get a "second chance" to re-do it
after getting it back; the final grade for the homework will be the
average of the
two tries or A-, whichever is lower. (Thus, if you get A-
first time there's no incentive to re-do.) Late homework is
assessed a one-step penalty per class period late (for example, A
A- becomes B+, and so on), and there is no second chance on late
I welcome specific questions about the homework; email your questions
to 8140 [at] whalen3 [dot] org
"Tell me how to do this assignment so I don't have to think for myself"
"Here's my answer; grade it ahead of time so I can get an extra free
if it's wrong" do not qualify as "specific questions."
You mist work individually on the
homework. Copying another's work, knowingly or negligently
allowing another to copy
yours, or collaborating on a rough draft you both copy from will all
in a grade of F for the entire course. This includes computer
The midterm is multiple-choice, based on
interpretation of Excel printouts (Including sensitivity analysis)
Comprehensive Take Home Final Exam:
Some exam questions will involve setting up a problem, others will
involve interpreting Excel printouts of the results.
You mist work individually on the
final. Copying another's work, knowingly allowing another
to copy yours, or collaborating on a rough draft you both copy from
will all result in a grade of F for
the entire course. This includes computer work.
here for the project