Operations Research
Overview: An introduction to operations research (management science),
a
quantitative approach to problem solving and decision making. Emphasis is on
linear programming and its application to solving cost, profit and volume
problems; distribution and network problems; and inventory problems.
General Goals:
• To teach the art of management decision making
• To provide students with mathematical tools for quantitative decision making
Specific Outcomes: To be able to:
• properly pose a problem by articulating a clear problem
statement, identifying
decision criteria, and identifying constraints.
• solve two-variable linear programming models by graphing the feasibility
region, identifying extreme points, and identifying a variable pair
corresponding to the optimal value of a decision objective.
• demonstrate mastery of the simplex method by manually solving two-variable
linear programming models.
• apply linear programming solvers to the solution of multi -variable financial,
distribution and network , and inventory problems
• produce and interpret sensitivity analyses for the above kinds of problems.
• demonstrate understanding of project scheduling fundamentals by developing
project models and crashing activity times .
Laptop Computers:
My policy is no open laptop computers in class unless otherwise directed.
Evaluation:
• Based on tests and final exam, homework, attendance and
class
participation.
• Components: homework (30%), two tests (20% each), final exam (30%).
• Evaluation per the catalog: A(>94), A-(>89), B+(>86), B(>82), B-(>79),
C+(>76), C(>72), C-(>69), D+(>66), D(>62), D-(>59)
• You will never receive a grade lower than what you earn strictly by the
numbers. I won’t take off for poor overall attendance or lack of participation.
• However, outstanding attendance and class participation are necessary in
order for me to consider extending grace when I determine your final course
grade. ( Unlike our Lord ’s grace, mine isn’t free!) But it is my privilege to
award a higher grade than what you earn strictly by the numbers . (See Matt
20: 1-15.)
| Week | Class |
Topics |
Reading |
| Aug 25 | |||
| 1 | Introduction and Objectives + Problem Solving/Decision Making | Chap 1 | |
| 2 | Review: systems of linear equations + Linear programming (Graph Sol’ns) | Chap 2 | |
| Sep 1 | |||
| 3 | Linear programming ( Graph Sol ’ns) | ||
| 4 | Linear programming (Graph Sol’ns) | ||
| Sep 8 | |||
| 5 | Simplex method | Chap 17 | |
| 6 | Simplex method | ||
| Sep 15 | |||
| 7 | Simplex method | ||
| 8 | Sensitivity analysis | Chap 3 | |
| Sep 22 | |||
| 9 | Sensitivity analysis | ||
| 10 | Financial applications | Chap 4 | |
| Sep 29 | |||
| 11 | Financial applications | ||
| 12 | Financial applications + Review | ||
| Oct 6 | |||
| 13 | Test 1 | ||
| 14 | Distribution and network applications | Chap 6 | |
| Oct 13 | |||
| 15 | Distribution and network applications | ||
| 16 | Distribution and network applications | ||
| Oct 20 | |||
| 17 | Distribution and network applications | ||
| 18 | Field trip: Walmart Distribution Center, Gas City | ||
| Oct 27 | |||
| 19 | Project scheduling: PERT/CPM | Chap 9 | |
| 20 | Project scheduling: PERT/CPM | ||
| Nov 3 | |||
| 21 | Project scheduling: PERT/CPM | ||
| 22 | Project scheduling: PERT/CPM + Review | ||
| Nov 10 | |||
| 23 | Test 2 | ||
| 24 | Inventory models | Chap 10 | |
| Nov 17 | |||
| 25 | Inventory models | ||
| 26 | Inventory models | ||
| Nov 24 | |||
| 27 | Inventory models | ||
| No class: Thanksgiving | |||
| Dec 1 | |||
| 28 | Dynamic programming | Chap 21 | |
| 29 | Dynamic programming | ||
| Dec 8 | Final Exam (Tues 12/9 1:00 – 3:00) |
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