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2008-2009 Catalog - United States Air Force Academy

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operations research major<br />

Operations Research (OR) is the application of quantitative techniques to managerial decision-making. To gain an appreciation<br />

for the field, it is necessary to look at the origins of Operations Research.<br />

Operations Research, as a discipline, arose from the need to determine optimal resource allocation and assist decision makers<br />

during World War II. Groups of mathematicians, physical scientists, and economists were assembled to perform studies<br />

that would provide quantitative input for commanders. The results of their efforts were impressive and, soon thereafter, the<br />

commercial sector realized the power of these new planning techniques.<br />

Using mathematics to model real world systems was nothing new; physicists and economists had been doing it for years.<br />

What defined this new field called OR was its focus on the operations of organizations. Not only were traditional mathematical<br />

modeling methods, such as statistics and probability used, but new modeling methods, such as mathematical programming and<br />

queuing theory were created.<br />

Operations Research, therefore, entails the development and application of new quantitative modeling methods to real<br />

management and economics problems. This is an exciting field—one that attracts curious problem-solvers who are strong in<br />

mathematics and computer science and are eager to solve real world problems.<br />

The description of OR provided above highlights its interdisciplinary nature. The <strong>Academy</strong> has captured the essence of the<br />

field by establishing a truly interdisciplinary major. The OR program is jointly administered by the Departments of Computer<br />

Science, Economics and Geosciences, Management, and Mathematical Sciences. In addition to the basic set of OR courses, the<br />

required major’s courses will include courses from each of the four departments.<br />

Suggested Course Sequence<br />

3rd-Class Year 2nd-Class Year 1st-Class Year<br />

Chem 200 Beh Sci 310 <strong>Academy</strong> Opt<br />

Econ 201 Biology 315 Aero Engr 315<br />

El Engr 231 Comp Sci 211 Astro Engr 410<br />

English 211 Comp Sci 362 Comp Sci 364<br />

Engr Mech 220 Econ 332 Econ 465<br />

Law 220 Econ 333 Econ 466<br />

Math 243 History 302 English 411<br />

Math 343 Math 377 Mgt 400<br />

MSS 200 Math 378 MSS 400<br />

Physics 215 Ops Rsch 321 Ops Rsch 419<br />

Pol Sci 211 Ops Rsch 411 Ops Rsch 420<br />

Sys Opt Ops Rsch 310 Philos 310 Soc Sci 412<br />

OPERATIONS RESEARCH (Ops Rsch)<br />

Offered by the Departments of Computer Science, Economics and Geosciences, Management, and Mathematical Sciences.<br />

Ops Rsch 310. Systems Analysis. Course provides an introduction to rigorous quantitative modeling methods that have<br />

broad application. Focuses on the mathematics of models, computer implementation of models, and application of these<br />

models to practical decision-making scenarios. By demonstrating the application of these techniques to problems in a wide<br />

range of disciplines, the course is relevant to technical and non-technical majors at the <strong>Academy</strong>. Course consists of six distinct<br />

blocks: decision analysis and utility theory, linear and nonlinear optimization, project management, queuing theory, simulation,<br />

and the systems approach to engineering and decision-making.<br />

Ops Rsch 321. Probabilistic Models. Selected probabilistic models (such as random walks, Markov Chains, queues, and<br />

reliability models) are analyzed as stochastic processes.<br />

Ops Rsch 405. Operations Research Seminar. A course for OR majors that provides for presentation of student and faculty<br />

research; guest lectures; field trips; seminars on career and graduate school opportunities for scientific analysts in the <strong>Air</strong><br />

<strong>Force</strong>; goal setting exercises; and applications of OR.<br />

134 <strong>United</strong> <strong>States</strong> <strong>Air</strong> <strong>Force</strong> <strong>Academy</strong> <strong>Catalog</strong>

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