George Mason University 1998-99 Catalog

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Operations Research and Engineering



Faculty

Professors: Adelman, Friesz, Greenberg, Harris, Hoffman (Chair), D. Miller, Nash, Polyak, Schum, Sofer

Affiliated Faculty: Gulledge, Houck

Research Professors: Gross, Wagner

Adjunct Professor: Fischer

Course Work

Operations research (OR) and engineering efforts at George Mason University principally involve the theoretical and empirical study of managerial and operational processes and the use of mathematical and computer models to optimize these systems. Models are needed for a variety of decision-making purposes in business, industry, and government to describe different environments and to relate alternative courses of action to performance. Thus, the courses in operations research and engineering focus on quantitative modeling and the analysis of complex systems. Courses stress the use of contemporary hardware and software in modeling and analysis. The Bureau of Labor Statistics predicts that the field of operations research will be one of the fastest growing professions of the next decide.

Although the department does not offer an undergraduate degree in operations research, a variety of courses are available for inclusion in other degree programs and a certificate program exists at the undergraduate level.

The department offers courses designated OR in the Course Descriptions section of this catalog.

Undergraduate Certificate in Operations Research and Engineering

The Operations Research and Engineering Department offers a certificate program to students enrolled in the computer science, decision sciences, mathematics, or systems engineering undergraduate degree programs. The certificate augments the standard curricula with material on the computational aspects of operations research. Because the demand for people trained in this area is great, this program expands the career options available to students.

Inquiries should be directed to the Operations Research and Engineering Department. Students who plan to work toward one of these certificates should seek advice from the department.

Certificate Program Requirements

STAT 344, 362; OR 435, 441, 442; one course chosen from ENGR 311 or MATH 313 or 325; and two courses chosen from OR 481, 498, 499; STAT 354; or any 400-level STAT class.

Graduate Degree (M.S.) in Operations Research and Management Science

The graduate program leading to a M.S. in Operations Research and Management Science prepares students for research and professional practice associated with the formulation and analysis of mathematical models for decision making, and their computer implementation. Major components of the program include optimization, queueing and network modeling, computer simulation and modeling, applied and computational probability, and application of these components to realistic and relevant operational analysis problems. Students are expected to become proficient in these areas as well as in supporting areas of information technology necessary to implement OR/MS methods.

To achieve this objective, the program includes core courses and electives selected by the student with the aid of a faculty advisor. To obtain the master of science degree, students complete an approved plan of study that contains a minimum of 30 graduate credits.

Students may take courses through the Commonwealth Graduate Engineering Program. Appropriate courses may be transferred, with advisor approval, into this George Mason degree program.

Admission Requirements

To be admitted to the program, a candidate must do the following:

  1. Fulfill all admission requirements for graduate study

  2. Hold a baccalaureate degree and have taken the following courses or their equivalents: MATH 113, 114, 213 Calculus, including calculus of several variables; STAT 344, Applied Probability for Engineers and Scientists; STAT 354, Statistical Methods for Engineers and Scientists; and MATH 203, Matrix Algebra or MATH 322, Linear Algebra

  3. Have a knowledge of at least one scientific computer programming language

  4. Have three letters of recommendation submitted by former professors or supervisors

A student with deficiencies in preparation may be accepted conditionally pending removal of the deficiencies. Courses taken to remove admission deficiencies extend the minimum requirements for the degree. Students whose undergraduate training was in the quantitative social sciences or quantitatively oriented business administration may be allowed to complete a portion of the mathematics prerequisite requirement by taking INFT 500.

Degree Requirements

The program consists of 30 credits, divided as shown below. The core curriculum includes the following four courses (12 credits):

OR 541 Operations Research: Deterministic Models
OR 542 Operations Research: Stochastic Models
OR 680 Applications Seminar
STAT 544 Applied Probability

Also, at least three 600-level or higher methodology courses must be taken, including at least one course in each of deterministic and stochastic OR.

Up to three additional elective courses may be chosen with the concurrence of the student's advisor. These courses should be taken in an area appropriate to the student's interests, such as statistics, business administration, computer science, information systems, systems engineering, electrical and computer engineering, economics, mathematics, and public administration. At least one of these electives must be taken from the department's course offerings.

With the permission of their advisors, qualified students may elect to write a thesis in place of three credits of course work from the methodological or applications area.

Students whose primary interest is in optimization may complete a special concentration by choosing three courses from OR 641, 642, 643, 644, 682, 741, 750, and 777. The remaining three courses are chosen with the written concurrence of the advisor and should be tailored to the student's interest and must include at least one stochastic OR course. These may be chosen from the department's offerings, from appropriate offerings in other departments within the School of IT&E, and from appropriate courses in other university departments. A sample of possible courses outside this department is available from the department.

Students concentrating in stochastic models must complete OR 635, one 600-level STAT course (but not STAT 610 or 612), and two courses from OR 647, 648, 671, 677, 681, and 682. The remaining two courses are chosen with the concurrence of the student's advisor and must include at least one in deterministic OR.

Another concentration is available in operations engineering. For this concentration, the three required OR methodology courses must be chosen from OR 635, 641, 643, 647, 648, 677, and 681. Two of the three additional electives must be selected with advisor's approval from the offerings of the other departments in the School of IT&E.

Students concentrating in decision analysis must complete and OR 635, 671, and 681, in addition to the required courses. The remaining electives are to be chosen from the following: SYST 510, 595; STAT 652; SYST/STAT 664 (strongly recommended); SYST 542; CS 580 and 681 within the School of IT&E, and FNAN 650, 711; and ECON 535, 611, and 615.

Finally, students concentrating in military operations research must complete OR 635, 651, and 652. The remaining four courses must be chosen from the following (with at least one being a departmental offering): OR courses with numbers greater than 635; STAT 634, 656, 658; SYST 542, 611, and 683.

Particularly important to students planning a Ph.D. program in information technology are the core courses that satisfy the breadth requirement.

Ceritificate in Military Operations Research

The graduate certificate program in military operations research provides knowledge, tools, and techniques to those who are working in, or planning to work in, the field of military operations research. It is appropriate for students who cannot complete all the requirements for a master's degree in operations research, but who want a concentrated study of military modeling. Admissions requirements to this program are identical to those for the master's degree in operations research. Certificate candidates must complete six courses, with an average grade of B or better, for a total of 18 graduate credits. To obtain the certificate, a student needs to complete the following: OR 541, 542, 635, 651, 652; and SYST 683. If the candidate has already had 3 credits of deterministic operations research, then the candidate can receive the certificate with 15 graduate credits. If the candidate has already taken a course equivalent to OR 542, then the candidate should substitute OR 681.

Ceritificate in Computational Modeling

The graduate certificate program in computational modeling provides knowledge, tools, and techniques to those who are working, or planning to work in, the field of computational modeling. Courses taken for this certificate program can count toward a master's in operations research and management science or statistics, or a Ph.D. in Computational Sciences and Informatics. One must be concurrently enrolled in the program for courses to count toward both the certificate and the other degree. For admission into the certificate program, the applicants must meet either the minimum entrance requirements for the M.S. in Operations Research and Management Science, the M.S. in Statistical Science, or the entrance requirements for the Ph.D. in Computational Sciences and Informatics. Certificate candidates must complete the following courses: CSI 700; OR 541, 635; and STAT 634, and must choose any two from the following electives: CSI 744, 773; OR 542, 680; or SYST 683. If the candidate has already taken the equivalent of any of the required courses, then the candidate may (with the permission of the department chair) complete the certificate program taking only 15 credits of course work.

Ph.D in Operations Research

Doctoral study in operations research is available through the Ph.D. in Information Technology program, which offers advanced courses in this discipline. The doctoral program allows the student to take a broad range of courses and research options.


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