The core of this course is a mathematical way of approaching planning and decision-making problems arising in business and related areas.
This "mindset" is called Management Science (MS) or Operations Research (OR). Basically, the MS/OR approach involves forming (imperfect) mathematical models of business situations, analyzing these models, and then deciding on some "optimal" course of action. A key concept in this approach is to separate the analysis of a decision problem into two steps. The first step is mathematical modeling, and the second is the solution of the resulting abstract model. In this class, we will solve the problems with Excel.
There are two key ideas in applying MS/OR: the first is modeling decision making and planning as a mathematical optimization problem with variables, an objective function, and constraints. The second is to model uncertainty using the tools of probability theory. We will spend the first cc. 15 classes exploring the first idea, and the last cc. 10 classes exploring the second. We will cover a relatively small set of subtopics in each case, but try to explore them in depth, so you get a better feeling for the modeling process. Note that optimization and stochastic models can be combined much more closely than we attempt in this course, but that is a more advanced topic (called stochastic programming).
MS/OR is most helpful in situations where quantitative information is plentiful and there are relatively few intangible or psychological considerations, making it easier to produce accurate mathematical models. It is also particularly beneficial when the decision or planning situation is complex, making it hard for managers to simply "eyeball" the decision or "fly by the seat of their pants." Such situations arise most often at the operational level of the management hierarchy, and progressively less often at the higher levels (tactical and strategic). Hence the application to operations management. "Operations management" courses at some other schools may deal more with qualitative generalities of managing business operations; this course basically focuses on the quantitative tools needed for such management.
No letter grades are assigned to individual assignments or exams, only numeric scores from 0 to 100. Your course grade will be based on your aggregate score, combining your scores on all written class work with the following weights:
If your final is higher than your lower midterm, then the final counts 50%, and the lower midterm only 10%.
The cutoffs for the final letter grades do not come in predetermined places, but will not be higher than 90 for A and 75 for C.
For 10 classes, we will study a variety of applications of something called linear programming. We will spend 5 classes on a related topic called (mixed) integer programming. Finally, we will spend 10 classes on elementary probability modeling, using simulation as our main analytical tool. There are two in-class exams, and the last class of the semester will be a review session for the final exam.