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2003-04 University Catalog George Mason University

Systems Engineering and Operations Research

Web: www.seor.gmu.edu
Phone: (703) 993-1670

Faculty

Professors: Adelman, Friesz, Donohue, Hoffman, Nash, Polyak, Sage, Schum, Sofer (chair)

Associate professors: Brouse, Chang, Chen, Laskey, Loerch,White

Assistant professors: Shortle

Affiliated faculty members: Gulledge, Houck, VanTrees

Research and visiting professors: Gross, Wagenhals, Wagner, Wolman

Adjunct professors: Adams, Alexander, Barry, Carley, Fischer, Healy, Killam, Masi, McDevitt, Patel, Patterson, Wells, Wieland, Yost, Youngren

Introduction

The Systems Engineering and Operations Research Department offers a bachelor's degree in systems engineering, a certificate for undergraduates (the equivalent of a minor) in operations research and engineering, and master's degrees in systems engineering and in operations research. In addition, the department offers four certificate programs at the master's level: Command, Control, Communications, and Intelligence (C3I), military operations research; computational modeling; and systems engineering for computer, information, and software-intensive systems. Students interested in pursuing doctoral education in operations research or systems engineering are encouraged to examine the description of the interdisciplinary Ph.D. in Information Technology program, and the section "Ph.D. Study in Systems Engineering and Operations Research."

What is systems engineering?

Systems engineers determine the most effective ways for an organization to use all of a given system's components: people, machines, materials, information, and energy. They plan, design, implement, and manage integrated systems, working to ensure performance, safety, reliability, and maintainability. They also work to ensure that systems are delivered on time at reasonable cost. Examples of systems are a computer network, an automobile, an intelligent robot, a stereo, the Metro, and George Mason University. Whereas other engineering disciplines concentrate on individual aspects of a system (electronics, ergonomics, software, etc.), systems engineers focus on the system as a whole. Systems engineering, perhaps more than any other engineering dis cipline, is involved with the human and organizational aspects of developing the desired system. Systems engineering is the "people-oriented" engineering profession.

What is operations research?

Operations research is the professional field that deals with the use of scientific methods in engineering and management decision making, often focusing on problems of how best to allocate limited resources. Operations researchers do for organizations what physicists do for the physical world: they try to find order in apparent chaos by identifying the structure in complex situations and understanding how the components of organizations interact. The goal is to explain and predict the effects of actions taken on these systems. Much of this work is done by developing and manipulating mathematical and computer models of organizational systems composed of people, machines, information, and procedures. The overall purpose is to provide a rational basis for decision making.

The operations research faculty at George Mason University is principally involved in 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, scientific research, and government to describe different environments and to relate alternative courses of action to performance. Thus, the courses in operations research focus on quantitative modeling and the analysis of complex systems. Courses stress the use of contemporary computer 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 decade.

Why one department?

On the basis of the above descriptions of the fields of systems engineering and operations research, one can see that there is much overlap between these two disciplines. The department encourages students of either discipline to elect courses in the other.

For a more detailed description of the programs, faculty, and department, please visit the department web page, www.gmu.edu/departments/seor.

Course Work

The department offers all courses designated SYST and OR in the "Course Descriptions" chapter of this catalog.

Undergraduate Program

The mission of the undergraduate program in systems engineering is to equip students with the ability to participate productively in the many professional activities associated with the engineering of a trustworthy system that satisfies client needs. The term system is interpreted broadly, examples being information systems, telecommunication systems, defense systems, health delivery systems, transportation systems, manufacturing systems, and corporate processes.

Specifically, the objectives of the program are to provide an academic environment that facilitates and motivates learning the knowledge, principles, practices, and perspectives that will enable graduates to do the following:

  • Apply fundamental concepts of mathematics, science, information technology, and engineering. This core curriculum is designed to develop the skills and understanding that form the basis for systems engineering now and in the future.
  • Participate meaningfully in the development of systems using systems engineering methods, models, and tools.
  • Achieve depth of knowledge in a technical area by completing a sequence of technical electives that constitute an emphasis.
  • Work effectively as a leader and as a member of multidisciplinary and cross-functional teams and behave in a professional, ethical, and responsible manner. This includes establishing a foundation for lifelong learning in the area of systems engineering and in related areas.
  • Communicate effectively with peers and others both orally and in writing.

Systems Engineering, B.S.

The program leading to the B.S. in Systems Engineering prepares students for a professional career in systems engineering. Our educational program reflects the systems engineer's unique perspective, which considers all aspects of a system throughout its lifetime. The systems engineering program at George Mason is interdisciplinary, drawing from engineering, computer science, operations research, psychology, and economics. The core systems engineering courses tie these diverse threads to provide a global understanding of how individual engineering disciplines fit into the development of complex, large-scale systems. Students gain depth in a technical area by selecting a sequence of technical electives that constitute an emphasis (software-intensive systems, network and communications systems, econonic systems design, environmental and infrastructure systems, and system modeling and performance). Students construct their own emphases with the help of their advisor. A year-long senior design project provides hands-on experience in applying various systems engineering methods and tools.

The bachelor's program in systems engineering at George Mason University is accredited by the Engineering Accreditation Commission of the Accreditation Board for Engineering and Technology, 111 Market Place, Suite 1050, Baltimore, Md., 21202-4012; telephone (410) 347-7700. The requirements for the degree may be satisfied on a part-time or co-op basis. Cooperative education provides students with the opportunity to integrate paid, career-related work experience with classroom learning.

Writing-Intensive Requirement

The university's writing-intensive requirement for systems engineering majors is satisfied by the successful completion of SYST 489.

Synthesis Requirement

The university's synthesis requirement for systems engineering majors is satisfied by the successful completion of SYST 495.

Degree Requirements

In addition to the general and university general education requirements for the B.S. degree, students must meet specific requirements for this degree as described below.

In the first two years, students obtain a basic foundation in mathematics, the natural sciences, computing, writing, the humanities, and the social sciences. The systems engineering program builds on this foundation, teaching students theoretical knowledge, practical skills, and the ability to apply systems thinking to problems. Teamwork, collaborative learning, analytical skills, practical problem solving, and oral and written communication are strongly stressed in the systems engineering degree program.

Course requirements for the systems engineering major are as follows:

Mathematics and statistics: MATH 113, 114, 203, 213, 214; STAT 344

Natural sciences: PHYS 160, 260, 261; CHEM 251 or PHYS 262 and 263 or BIOL 213

Computer science: CS 112, 211

Humanities and social sciences: COMM 100; ENGL 101, 302; ECON 103; approved courses in literature, history, global understanding, and synthesis to satisfy the university's general education requirement.

Engineering: ENGR 107

Systems engineering: SYST 101, 201, 202, 203, 301, 302, 335, 371, 417, 470, 473, 489, 490, 495, and five approved technical electives at the 300 level or above. (Some exceptions are allowed for lower-level courses that are prerequisites to other technical electives.)

Sample Schedule

The following sample schedule shows the required and elective courses in the undergraduate systems engineering program. Students are strongly encouraged to follow this sample schedule to ensure that prerequisites are satisfied.

  Credits
First Semester  
COMM 100 Oral Communication 3
ECON 103 Contemporary Microeconomic Principles 3
ENGL 101 Composition 3
ENGR 107 Introduction to Engineering 2
MATH 113 Analytic Geometry and Calculus I 4
TOTAL 15
Second Semester  
CS 112 Computer Science I 4
MATH 114 Analytic Geometry and Calculus II 4
PHYS 160 University Physics I 4
SYST 101 Understanding Systems Engineering 3
TOTAL 15
Third Semester  
CS 211 Computer Science II 3
MATH 213 Analytic Geometry and Calculus III 3
PHYS 260 University Physics II 3
PHYS 261 University Physics II Lab 1
SYST 201 Discrete Dynamic Systems Modeling 3
Literature general education course 3
TOTAL 16
Fourth Semester  
CHEM 251 General Chemistry for Engineers or PHYS 262, 263 Introduction to Thermodynamics with lab or BIOL 213 Cell Structure and Function 4
MATH 203 Matrix Algebra 3
MATH 214 Elementary Differential Equations 3
SYST 202 Continuous Dynamic Systems Modeling 3
SYST 203 Systems Modeling Lab 1
TOTAL 14
Fifth Semester  
ENGL 302 Advanced Composition (for natural sciences and technology) 3
OR 441 Deterministic Operations Research 3
STAT 344 Probability and Statistics 3
SYST 301 Systems Design 3
Technical elective 3
TOTAL 15
Sixth Semester  
SYST 302 Systems Methods 3
SYST 335/OR 335 Discrete Systems Modeling and Simulation 3
SYST 371 Systems Engineering Management 3
SYST 473 Decision and Risk Analysis 3
Technical elective 3
TOTAL 15
Seventh Semester  
SYST 470 Human Factors Engineering 3
SYST 489 Senior Seminar 3
SYST 490 Senior Design Project I 3
HIST 120 U.S. History 3
Technical elective 3
TOTAL 15
Eighth Semester  
HIST 100 History of Western Civilization 3
SYST 495 Senior Design Project II 3
Technical elective 3
Technical elective 3
Global understanding approved elective course 3
TOTAL 15

All systems engineering students are assigned faculty advisors. With the help and approval of the advisor, each student is required to complete a plan of study. This plan of study, contained in the detailed pamphlet available from the systems engineering office, constitutes a learning plan for the degree program. The advisor must approve changes to the plan of study. All students in systems engineering are required to see their advisors at least once each semester to plan for the following semester's registration.

The systems engineering program requires 15 credits of technical electives. Sequences of electives that constitute an emphasis may be selected from courses in systems engineering, computer science, electrical and computer engineering, information systems, operations research, and applied statistics. Technical electives are normally chosen from 300- and 400-level IT&E courses; 100- and 200-level courses may only be included for special reasons (e.g., if they are prereq uisites for the other 300- and 400-level technical electives or they are needed for the FE/EIT exam). Students may also take some graduate courses at the 500 level, but this requires that the student satisfy a GPA requirement of 3.000 and obtain permission from his or her advisor. Students taking a 500-level course must satisfy the same requirements and are graded in the same way as other graduate students.

Examples of elective sequences are systems engineering of software-intensive systems, systems engineering of network and communications systems, economic systems design, systems engineering of environmental and infrastructure systems, and systems modeling and performance. These are described as follows. The student's advisor must approve all elective sequences.

Systems Engineering of Software-Intensive Systems

Students must take CS 310 Computer Science III and 12 credits from the following courses:

  • MATH 125 Discrete Mathematics I (required as prerequisite for CS 330)
  • CS 330 Formal Methods and Models
  • CS 332 Object-Oriented Specification and Implementation
  • CS 421 Software Engineering
  • CS 450 Database Concepts
  • CS 480 Introduction to Artificial Intelligence
  • CS 483 Data Structures and Analysis of Algorithms
  • ECE 301 Digital Electronics
  • INFS 311 Database Management
  • INFS 312 Computer Architecture and Operating Systems
  • SWE 432 Design and Implementation of Software for the Web
  • SYST 442 Decision Support Systems Design
  • SYST 451 Knowledge-Based Systems Design and Engineering
Systems Engineering of Network and Communications Systems

Students are required to take 15 credits from the following courses:

  • ECE 201 Introduction to Electrical Engineering
  • ECE 220 Signals and Systems I
  • ECE 301 Digital Electronics
  • ECE 320 Signals and Systems II
  • ECE 410 Introduction to Signal Processing
  • ECE 462 Data and Computer Communications
  • ECE 465 Computer Networking Protocols
  • INFS 312 Computer Architecture and Operating Systems
  • SYST/ECE 421 Classical Systems and Control Theory
  • SYST/ECE 422 Digital Control Systems

For students meeting requirements to enroll in graduate courses:

  • ECE 540/TCOM 500 Modern Telecommunications

Economic Systems Design

Students must take the following three courses:

  • SYST 465 Pricing in Optimization and Game Theory
  • SYST 480/ECON 440 Economic Systems Design I
  • SYST 481/ECON 441 Economic Systems Design II

And take two of the following courses:

  • SYST 417 Optimization Methods in Systems Engineering
  • OR 442 Stochastic Operations Research
  • STAT 354 Probability and Statistics for Engineers and Scientists II
Systems Engineering of Environmental and Infrastructure Systems

Students must take CEIE 301 Engineering and Economic Models in Civil Engineering and 12 credits from the following:

  • CEIE 360 Transportation Systems I
  • CEIE 410 Geographic Information Systems in Engineering
  • CEIE 450 Environmental Engineering Systems
  • CEIE 455 Introduction to Environmental Engineering
  • CEIE 460 Public Transportation Systems
  • CEIE 461 Traffic Engineering
  • CEIE 462 Urban Transportation Planning
  • CEIE 499 Special Topics in Civil and Environmental Engineering: Water Resource Systems Analysis
Systems Modeling and Performance

Students must take CEIE 301 Engineering and Economic Models in Civil Engineering, and 12 credits from the following:

  • INFS 311 Database Management
  • OR 442/MATH 442 Stochastic Operations Research
  • OR 481/MATH 446 Numerical Methods in Engineering
  • SYST 417 Optimization Methods in Systems Engineering
  • SYST 420 Network Analysis
  • SYST 442 Decision Support Systems Design
  • SYST 465 Pricing in Optimization and Game Theory
  • STAT 354 Probability and Statistics for Engineers and Scientists II
  • STAT 455 Experimental Design
  • STAT 463 Introduction to Exploratory Data Analysis
  • STAT 474 Introduction to Survey Sampling

For those meeting requirements to enroll in graduate courses:

  • SYST 510 Systems Definition and Cost Modeling
  • SYST 542 Decision Support Systems Engineering

In addition to receiving a B.S. degree, a student may wish to select a sequence that contributes toward a minor or certificate program as described below.

Transportation Systems

Students must take SYST460 Fundamentals of Air Traffic Control, either CEIE 360 Introduction to Transportation Engineering or CEIE 460 Public Transportation Systems, and any three courses from the following:

  • STAT 354 Probability and Statistics for Engineers and Scientists II
  • OR 442 Stochastic Operations Research
  • SYST 420 Network Analysis
  • CEIE 301 Engineering and Economic Models in Civil Engineering

Certificate in Operations Research and Engineering

The operations research program offers a certificate program to students enrolled in the computer science, decision sciences, mathematics, and 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.

Students must take STAT 344 Probability and Statistics for Engineers and Scientists I; STAT 362 Introduction to Computer Statistical Packages; OR 335 Discrete Systems Simulation Modeling; OR 441 Deterministic Operations Research; OR 442 Stochastic Operations Research; and MATH 313 Introduction to Applied Mathematics.

They must also choose two courses from the following: OR 481 Numerical Methods in Engineering; OR 498 Independent Study in Operations Research; OR 499 Special Topics in Operations Research; STAT 354 Statistical Methods for Engineers and Scientists; and any 400-level STAT class.

Students electing the certificate in operations research must apply to the Systems Engineering and Operations Research Department.

Interdisciplinary Minor Programs

By taking appropriate sequences of technical electives and in some cases a few courses in addition to the 120 credit hours required for graduation, students in the systems engineering program can obtain a minor in one of a variety of interdisciplinary minor programs. Available minors include data analysis and computer science. Students should see their advisors and the departments offering the minors for specific requirements.

B.S./Accelerated M.S. in Systems Engineering

Qualified undergraduate students may apply for a five-year B.S./Accelerated M.S. program leading to a bachelor of science in an engineering discipline and an M.S. degree in systems engineering. The B.S./Accelerated M.S. program can be completed in 144 credits.

Applicants to the B.S./Accelerated M.S. program must be George Mason undergraduate students with majors in IT&E. Students may apply for the B.S./Accelerated M.S. program after they have completed at least 90 credits. Students must have an overall GPA of at least 3.000 to apply for the program and must have completed all their MATH and PHYS requirements. Criteria for admission into the B.S./Accelerated M.S. program are identical to criteria for admission into the M.S. program, with the exception that students do not need to have completed an undergraduate degree before admission into the program.

Students must complete all requirements for the B.S. in their chosen majors. Students in the B.S./Accelerated M.S. program may apply to have the B.S. degree from the appropriate IT&E program conferred during the semester during which they expect to complete their B.S. requirements. The M.S. degree is granted upon completion of the remaining courses.

Up to two courses (6 credits) of master's-level courses taken as part of the undergraduate degree may be applied to the graduate degree. These two courses may be chosen from the list of graduate courses in the following table. For B.S. candidates, these graduate courses replace the corresponding undergraduate courses listed in the table. The undergraduate version of these courses may not be applied toward the M.S. degree. Systems engineering majors in the B.S./Accelerated M.S. program are required to take SYST 530 in place of SYST 471.

Graduate Course Undergraduate Course Comment

SYST 520

SYST 301 SYST 301 or SYST 520 is required for the B.S. program. Systems engineering majors receiving B or better in SYST 301 may replace SYST 520 in the graduate program with an advisor-approved elective.

SYST 521

SYST 420 Credit may not be received for both courses.
SYST 530 SYST 471

Credit may not be received for both courses.

SYST 542 SYST 442

Credit may not be received for both courses.

SYST 555 SYST 455 Credit may not be received for both courses.
SYST 573 SYST 473 Credit may not be received for both courses.

Any other 500-level SYST course may be applied to both the undergraduate and graduate degrees with the approval of the advisor.

B.S./Accelerated M.S. Program in Operations Research

Qualified undergraduate students may apply for a five-year B.S./Accelerated M.S. program leading to a bachelor of science in an engineering discipline and an M.S. degree in operations research. The B.S./Accelerated M.S. program can be completed in 144 credits.

Applicants to the B.S./Accelerated M.S. program must be George Mason undergraduate students with majors in IT&E. Students may apply for the B.S./Accelerated M.S. program after they have completed at least 90 credits. Students must have an overall GPA of at least 3.000 to apply for the program, and must have completed all their MATH and PHYS requirements. Criteria for admission into the B.S./Accelerated M.S. program are identical to criteria for admission into the M.S. program, with the exception that students do not need to have completed an undergraduate degree before admission into the program.

Students must complete all requirements for the B.S. in their chosen majors. Students in the B.S./Accelerated M.S. program may apply to have the B.S. degree from the appropriate IT&E program conferred during the semester during which they expect to complete their B.S. requirements. The M.S. degree is granted upon completion of the remaining courses.

Up to two courses (6 credits) of master's-level courses taken as part of the undergraduate degree may be applied to the graduate degree. For B.S. candidates, these graduate courses replace the corresponding undergraduate courses. The undergraduate version of these courses may not be applied toward the M.S. degree. Systems engineering majors in the B.S./Accelerated M.S. program in Operations Research are required to take OR 541 and 542 in place of OR 441 and 442.

Graduate Programs

Operations Research, M.S.

The graduate program leading to an M.S. in Operations Research 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, queuing 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 operations research 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 meet the following requirements:

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, and 213, including calculus of several variables; MATH 214 Elementary Differential Equations; STAT 344 Probability and Statistics for Engineers and Scientists I; STAT 354 Probability and Statistics for Engineers and Scientists II; and MATH 203 Matrix Algebra or MATH 322 Linear Algebra.

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

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

The department offers SYST 500 as an intensive review of undergraduate engineering mathematics, including matrix algebra, transforms, differential equations, probability, and statistics. Upon acceptance, each student will be required to take a foundation qualification test a week or two before school starts unless waived by the department chair or graduate coordinator. Students who fail the test will be required to take SYST 500. A sample test is available from the department.

Students with deficiencies in preparation may be accepted conditionally pending removal of the deficiencies. Courses taken to remove admission deficiencies (including SYST 500) 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 by taking SYST 500.

Degree Requirements

The program consists of 30 credits, divided as shown below. The core curriculum includes the following five courses (15 credits):

  • OR 541 Operations Research: Deterministic Models
  • OR 542 Operations Research: Stochastic Models
  • OR 635 Discrete Event Simulation
  • STAT 544 Applied Probability
    (Students who have performed well in their undergraduate calculus-based probability class may instead take OR 645 Stochastic Processes.)
  • OR 680 Project Course in Operations Research, Systems Engineering, and Computational Modeling

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

Up to two additional elective courses may be chosen with the written 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 IT&E's course offerings.

With the permission of his or her advisor, a qualified student may elect to write a thesis in place of 3 credits of course work from the methodological or applications area.

Students enrolled in the M.S. in Operations Research may construct concentration areas by choosing electives from among special groupings. The four concentrations currently available are: optimization, stochastic modeling, decision analysis, and military operations research.

Students whose primary interest is in optimization may complete a concentration by choosing three courses from OR 640, 641, 642, 643, 644, 682, 741, and 750. The remaining two courses are chosen with the written concurrence of the advisor, should be tailored to the student's interest, and must include at least one stochastic operations research course. These may be chosen from the department's offerings, from appropriate offerings in other departments within IT&E, and from appropriate courses in other university departments. A sample of possible courses outside the Systems Engineering and Operations Research Department is available from the department office.

Students concentrating in stochastic modeling must complete one 600-level statistics course (numbered 634 or above), and two courses from OR 647, 648, 671, 677, and 681. The remaining two courses are chosen with the written concurrence of the student's advisor and must include at least one in deterministic operations research.

Students concentrating in decision analysis must complete OR 671 and 681 and SYST/STAT 664. The remaining two electives are chosen with the written concurrence of the student's advisor and must include one deterministic operations research course, and one course from the following: SYST 510, 542, and 595; STAT 652; CS 580 and 681.

Finally, students concentrating in military operations research must complete OR 651 and 652 and SYST 683. The remaining two courses are chosen with the written concurrence of the student's advisor and must include one deterministic operations research course and one course from the following: OR courses with numbers greater than 635; STAT 634, 656, 658; and SYST 542, 611, and 680, 684 and 685.

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

Systems Engineering, M.S.

The graduate program leading to the M.S. in Systems Engineering prepares students for a professional career in systems design, development, and management, associated with problem formulation, issue analysis, and evaluation of alternative courses of action. The program emphasizes both analytical and practical aspects of engineering complex systems. Students are expected to demonstrate proficiency in several quantitative modeling disciplines. Students are also expected to master issues relevant to practical aspects of systems design, engineering, and management. The program prepares students for careers in research and development and for pursuing advanced graduate study leading to the Ph.D. in Information Technology.

Each student is assigned a faculty advisor with whom he or she must work to complete an approved plan of study. This plan of study must include three core courses, two methods courses, three to four electives in a concentration, and a thesis or systems engineering project. The plan of study must include 30 graduate credits. Either a thesis (6 credits) or research project (3 credits) is required for the degree. Matriculation requirements for candidates needing additional work in mathematics or engineering also may be included in the plan of study.

Foundation and Admission Requirements

Each applicant for the M.S. program should meet the following entrance requirements:

1. Have a baccalaureate degree from an accredited institution in engineering, mathematics, computer science, physical sciences, economics, or a related field.

2. Have completed courses in calculus (MATH 113, 114, and 213), matrix algebra (MATH 203), differential equations (MATH 214), applied probability and statistics (STAT 344), and a scientific programming language (CS 112).

3. Provide evidence of satisfactory educational achievement in at least one of the following forms: an acceptable GPA as an undergraduate, a satisfactory score on the GRE, or an acceptable GPA in graduate courses.

4. Have achieved a satisfactory score on the TOEFL examination for non-native English speakers.

Students who enter the program must have a working background in engineering mathematics and computer systems. A student lacking these foundations may apply for admission to the program, but will be required to take one or more foundation courses. The department offers SYST 500 as an intensive review of undergraduate engineering mathematics, including matrix algebra, transforms, differential equations, probability, and statistics.

Students who have not completed a basic engineering undergraduate mathematics sequence will be required to complete courses in engineering calculus and matrix algebra prior to taking SYST 500. Upon acceptance, each student will be required to take a foundation qualification test a week or two before school starts unless waived by the department chair or graduate coordinator. Students who fail the test will be required to take SYST 500 or other foundation courses. A sample test is available from the department.

A familiarity with analytical modeling software such as spreadsheets or math packages is also expected. Students should acquaint themselves with these software packages before beginning classes.

Project or Thesis

Each student must complete a project (3 credits) or thesis (6 credits) under the direction of a systems engineering faculty member.

Under the project option, the student completes 3 credits of SYST 798 or OR 680. For SYST 798, a project objective is selected with the approval of the faculty project advisor. A project report is submitted at the end of the semester and must be approved by the faculty project advisor. Although a student may register for more than 3 credits of project work, only 3 credits will be applied toward the degree.

Under the thesis option, the student completes 6 credits of SYST 799. The master's thesis should reflect a significant independent research effort. The work is conducted under the guidance of a faculty thesis advisor, and the final written thesis and oral defense are approved by a three-member faculty committee and submitted to IT&E. The thesis work is expected to be completed while taking 6 credits of SYST 799. Although a student may register for more than 6 credits, only 6 credits may be applied toward the degree.

Core Courses

Students must complete the following three core courses (9 credits):

  • SYST 510 Systems Definition and Cost Modeling
  • SYST 520 System Design and Integration
  • SYST 530 System Management and Evaluation
Emphasis Courses

Students must complete two basic methods courses and a set of elective courses that together constitute a clearly defined emphasis within systems engineering. Students pursuing the thesis option complete three electives in an emphasis; students pursuing the project option complete four electives in an emphasis.

Students may create their own emphases with the approval of their advisors, or they may choose one of the following five emphases: systems engineering methods, systems management, systems engineering of computer-based systems, telecommunications, and advanced transportation systems. Approved basic methods courses and electives for the major emphases are as follows.

Systems Engineering Methods

Systems engineers must address a broad range of issues relevant to the design, implementation, analysis, and management of systems. The systems engineering methods emphasis provides the student with methodological tools that can be applied to the systems engineering process. Areas of focus include decision support systems, distributed intelligent systems, knowledge-based planning systems, network systems, probabilistic reasoning systems, sensor fusion systems, and/or optimization methods. The graduate program in systems engineering recognizes the importance of balancing an education in quantitative models and engineering tools with a proper understanding of the systems perspective.

Basic methods courses: Students must complete SYST 611 System Methodology and Modeling and one of the following:

  • SYST 521 Network Analysis
  • SYST 563 Research Methods in Systems Engineering and Information Technology
  • SYST 573 Decision and Risk Analysis
  • SYST 595/ECE 595 Discrete Event Systems
  • SYST 621 Systems Architecture for Large-Scale Systems
  • ECE 521 Modern Systems Theory
  • ECE 528 Introduction to Random Processes in Electrical and Computer Engineering or STAT 544 Applied Probability
  • OR 541 Operations Research: Deterministic Models
  • OR 542 Operations Research: Stochastic Models

Elective courses: Courses designated as basic methods courses may also be used as elective courses once the requirement of two basic methods courses has been met. The set of elective courses must constitute a well-defined focus and must be approved by the student's advisor.

  • SYST 542 Decision Support Systems Engineering
  • SYST 555 Introduction to Intelligent Systems Engineering
  • SYST 664/STAT 664 Bayesian Inference and Decision Analysis
  • SYST 671/OR 671 Judgment and Choice Processing and Decision Making
  • SYST 672/CS 685 Intelligent Systems for Robots
  • CS 580 Introduction to Artificial Intelligence
  • CS 681 Designing Expert Systems
  • CS 688 Neural Network Principles (or ECE 549 Theory and Applications of Artificial Neural Networks)
  • CS 782 Machine Learning
  • CS 785 Knowledge Acquisition and Problem Solving
  • OR 641 Linear Programming
  • OR 642 Integer Programming
  • OR 643 Network Modeling
  • OR 644 Nonlinear Programming

Systems Management

The defining reality of the 20th century is evolution into a society of organizations and the emergence of management as a discipline. The technical disciplines of systems engineering are necessary but not sufficient for the development of successful systems. The management aspect of systems engineering involves tracking and controlling system development through the major phases of the system life cycle; identifying and resolving problems to minimize impacts on cost, schedule, and performance; and iteratively improving both product and process. The emphasis in systems management focuses on the theory and practice of systems management and prepares students for careers in managing the development of complex systems.

Basic methods courses: Students must complete SYST 573 Decision and Risk Analysis and one of the following:

  • SYST 563 Research Methods in Systems Engineering and Information Technology
  • SYST 611 Systems Methodology and Management
  • OR 541 Operations Research: Deterministic Models
  • OR 542 Operations Research: Stochastic Models

Elective courses: The set of elective courses must constitute a well-defined focus. Basic methods courses beyond the two required methods courses may also be counted as elective courses. Approved electives include the following:

  • SYST 512 Systems Engineering for Design and Development
  • SYST 513 Total Systems Engineering, Reengineering, and Enterprise Integration
  • SYST 542 Decision Support Systems Engineering
  • SYST 571 Systems Engineering Management
  • SYST 572 Introduction to Systems Integration Engineering
  • SYST 621 Systems Architecture for Large-Scale Systems
  • SYST 664/STAT 664 Bayesian Inference and Decision Analysis
  • SYST 671/OR 671 Judgment and Choice Processing and Decision Making
  • SYST 677/OR 677/STAT 677 Statistical Process Control
  • CEIE 610 Construction Systems and Management
  • SWE 625 Software Project Management

Command, Control, Communications, and Intelligence (C3I)

Command, Control, Communications, and Intelligence (C3I) systems are pervasive throughout the civilian and military world, allowing responsible authorities such as commanders or chief executive officers to control resources such as personnel, equipment, and money. Civilian government examples include the air traffic control systems, the drug enforcement C3I systems, law enforcement agency systems, and various emergency preparedness systems. Military systems include national-level crisis management systems, the global command and control system, the NATO command and control systems, and various tactical C3 systems of the military services. Private industry examples include the corporate management systems of large national and multinational firms.

These systems include the equipment, people, and procedures necessary to accomplish the mission. The equipment may include a variety of sensors, communications systems, and information processing and decision-support systems. This area stresses the multidisciplinary approach necessary to understand the field.

The specialization in C3I focuses on the theory and practice of C3I and prepares students for careers in research, design, and development of C3I systems, or in the use and management of C3I systems. The courses offered emphasize the analytical and behavioral aspects of engineering complex C3I systems.

Basic Methods Courses: Students must complete SYST 611 System Methodology and Modeling and one of the following:

  • ECE 528 Introduction to Random Processes in Electrical and Computer Engineering
  • OR 542 Operations Research: Stochastic Models

Elective Courses: A set of approved elective courses is given below. The set of elective courses must constitute a well-defined concentration area. Examples of concentration areas include C3 architectures, C2 software, communications, decision support, modeling and simulation, or sensing and fusion.

Students in the C3I specialization area must complete the following course: SYST 680/ECE 670/OR 683 Principles of C3I, and may select their remaining elective(s) from the following list of courses:

  • SYST 542 Decision Support Systems Engineering
  • SYST 573 Decision and Risk Analysis
  • SYST 595/ECE 595 Discrete Event Systems
  • SYST 621 Systems Architecture for Large-Scale Systems
  • SYST 683 Modeling, Simulation, and Gaming
  • SYST 684 Sensor Data Fusion
  • SYST 685 Estimation and Tracking: Principles and Techniques
  • SYST 760 Special Topics in C3I Systems Engineering
  • ECE 542 Computer Network Architectures and Protocols
  • ECE 630 Statistical Communication Theory
  • ECE 731 Digital Communications
  • ECE 737 Spread Spectrum Communications
  • ECE 739 Satellite Communications
  • ECE 642 Design and Analysis of Computer Communication Networks
  • ECE 734/IT 830 Detection and Estimation Theory
  • OR 647 Queuing Theory
  • OR 651 Military Operations Research I: Cost Analysis
  • OR 652 Military Operations Research Modeling II: Effectiveness Analysis

Systems Engineering of Computer-Based Systems

The computer-based systems emphasis provides specialized knowledge and experience in developing and modifying large, complex software systems. It emphasizes technical and management aspects of the software engineering process. Computer-based systems engineers are concerned with the theoretical and practical aspects of technology, cost, and social impact of computer systems that are both effective and efficient.

Basic methods courses: Students must complete one of the following:

  • OR 541 Operations Research:: Deterministic Models
  • OR 542 Operations Research: Stochastic Models
  • SYST 611 Systems Methodology and Modeling and one from the remaining two above or the following
  • SYST 563 Research Methods in Systems Engineering and Information Technology
  • SYST 573 Decision and Risk Analysis
  • SYST 595/ECE 595 Discrete Event Systems
  • SYST 621 Systems Architecture for Large-Scale Systems

Elective courses: The set of elective courses must constitute a well-defined focus. Basic methods courses beyond the two required methods courses may also be counted as elective courses. The set includes the following:

  • SYST 512 Systems Engineering for Design and Development
  • SYST 513 Total Systems Engineering, Reengineering, and Enterprise Integration
  • SYST 542 Decision Support Systems Engineering
  • SYST 555 Introduction to Intelligent Systems Engineering
  • SYST 572 Introduction to Systems Integration Engineering
  • CS 656 Computer Communications and Networking
  • ECE 542 Computer Network Architectures and Protocols
  • INFS 612 Principles and Practices of Communication Networks
  • INFS 622 Information Systems Analysis and Design
  • SWE 619 Software Construction
  • SWE 620 Software Requirements Analysis and Specification SWE 621 Software Design
  • SWE 623 Formal Methods and Models in Software Engineering
  • SWE 625 Software Project Management

Telecommunications (TCOM)

The telecommunications emphasis provides detailed knowledge and experience in designing and optimizing large, complex communications networks. It addresses engineering analysis topics such as reliability and expansion, critical business and policy issues facing both the industry and corporations, management of emerging technologies, and the impacts of security and economic commerce.

Basic methods courses: Students must complete OR 542 Stochastic Models in Operations Research and one of the following:

  • OR 541 Operations Research: Deterministic Models
  • SYST 573 (OR 681) Decision and Risk Analysis
  • TCOM 540/541 Telecommunications Network Optimization/Network Design and Pricing
  • TCOM 545 Reliability and Maintainability of Networks
  • TCOM 546 Financial Models of Telecommunications Systems

Elective courses: Students must complete TCOM 500 Modern Telecommunications and must also take a set of elective courses that constitute a well-defined focus. Basic methods courses beyond the two required methods courses may also be counted as elective courses. Students must take three of the following (two, if he or she selects the thesis option):

  • OR 635 Discrete System Simulation
  • OR 647 Queuing Theory
  • SYST 513 Total Systems Engineering, Reengineering, and Enterprise Integration
  • SYST 572 Introduction to Systems Integration Engineering
  • TCOM 501 Data Communications and Local Area Networks
  • TCOM 502 Wide Area Networks and the Internet
  • TCOM 547 Project Management (1.5 credits)
  • TCOM 548/TCOM549 Security and Privacy Issues in Telecommunications
  • INFS 612 Principles and Practices of Communication Networks
  • INFS 640 Introduction to Electronic Commerce

Advanced Transportation Systems (ATS)

Transportation is one of the most important and increasingly complex infrastructure networks of our modern society. This emphasis looks at transportation operations, monitoring, and control from a systems engineering perspective. It uses both analytical and complex simulations to give the student an awareness of how future transportation systems will evolve.

Basic methods courses: Students must complete SYST 611 Systems Methodology and Modeling and one of the following:

  • SYST 697/PUBP 777 Critical Information Technology Infrastructures
  • OR 541 Operations Research: Deterministic Models
  • OR 542 Operations Research: Stochastic Models
  • SYST 563 Research Methods in Systems Engineering and Information Technology
  • SYST 573 Decision and Risk Analysis
  • SYST 621 Systems Architecture for Large-Scale Systems
  • INFS 612 Principles and Practices of Communication Networks
  • TCOM 500/ECE 540 Modern Telecommunications

Elective courses: The set of elective courses must constitute a well-defined focus. Basic methods courses beyond the two required methods courses may also be counted as elective courses. The set includes the following:

  • CEIE 560 Public Transportation Systems
  • CEIE 660 Urban Transportation Planning
  • SYST 512 Systems Engineering for Design and Development
  • SYST 513 Total Systems Engineering, Reengineering, and Enterprise Integration
  • SYST 560 Introduction to Air Traffic Control
  • SYST 571 Systems Engineering Management
  • SYST 595/ECE 595 Discrete Event Systems
  • SYST 660/OR 660 Air Transportation Systems Modeling
  • SYST 684 Sensor Data Fusion
  • OR 635 Discrete System Simulation
  • OR 647 Queuing Theory
  • PSYCH 530 Cognitive Engineering: Cognitive Science Applied to Human Factors

Certificate in Command, Control, Communications, and Intelligence (C3I)

A certificate program in C3I is available to students who hold bachelor's degrees in engineering and scientific disciplines, or who are currently in graduate status in such programs. To be eligible for a certificate, students must complete SYST 680; ECE 528 or OR 542; and three electives from the list of electives for the C3I emphasis of the M.S. in Systems Engineering Program. The following is a suggested program of study for obtaining the certificate while studying for the M.S. in Systems Engineering degree (certificate required courses indicated in italics):

Core courses: SYST 510, 520, 530

Methods courses: SYST 611, ECE 528 or OR 542

Elective courses: SYST 680; three C3I approved elective courses

Project: SYST 798 or OR 680

Certificate in Systems Engineering for Computer, Information, and Software-Intensive Systems

A certificate in systems engineering for computer, information, and software-intensive systems is available to any student who holds a bachelor's degree in an engineering or a scientific discipline, or who has graduate status in such a program. To be eligible for a certificate, students must complete SYST 510, 512, 513, 530, and one of these elective courses: ECE 542; CS 656; INFS 612; SYST 542, 595 and 621; SWE 620; and INFS 622. The following is a suggested program of study for obtaining the certificate while studying for the M.S. in Systems Engineering (required courses for the certificate are indicated in italics):

Core courses: SYST 510, 520, 530

Methods courses: two courses approved for the master's degree emphasis

Elective courses: SYST 512, 513; certificate elective course; an elective approved for the master's degree emphasis

Project: SYST 798 or OR 680

Certificate in Military Operations Research

The certificate program in military operations research provides knowledge, tools, and techniques to those who are working, 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 he or she can receive the certificate with 15 graduate credits. If the candidate has already taken a course equivalent to OR 542, then he or she should substitute OR 681.

Certificate in Computational Modeling

The 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 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, 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 682; OR 541 and 635; and STAT 634. In addition, candidates must choose any two of the following electives: CSI 744, 773; OR 542, 680; and SYST 683. If the candidate has already taken the equivalent of any of the required courses, then he or she may (with the permission of the department chair) complete the certificate program taking only 15 credits of course work.

Ph.D. Study in Systems Engineering and Operations Research

Doctoral study in both systems engineering and 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. Students may designate a specialization in systems engineering or operations research in their doctoral degree title. In that case the degree conferred upon a graduating student would be "Ph.D. in Information Technology with Concentration in Operations Research" or "Ph.D. in Information Technology with Concentration in Systems Engineering." Students may also pursue such doctoral studies without designating a specialization in their degree title.

Requirements

Students seeking one of these specializations must satisfy all the requirements for the Ph.D. in Information Technology degree. In addition, the following requirements must be met.

Admissions

Students are normally admitted with an M.S. degree in systems engineering, operations research, or some related engineering or information technology area.

Plan of Study

All decisions concerning the student's course requirements and plan of study must be approved by the advisor/director, with the consent of the department's doctoral coordinator.

Doctoral Supervisory Committee

The chair of the committee should be selected from the list of approved chairs of SEOR. The dissertation director must be a member of SEOR. The doctoral supervisory committee must include at least three members from SEOR. The composition of the doctoral supervisory committee is to be approved by the doctoral coordinator. Permission for thecomprehensive examination and the dissertation defense are requested from the IT&E associate dean on the basis of a written request and plan that has been approved by the supervisory committee and the department's doctoral coordinator.

Qualifying Examinations

Each student must take a set of four exams from three different degree programs from the following:

  • SYST 520 System Design and Integration
  • SYST 573 Decision and Risk Analysis
  • OR 541 Deterministic Models in Operations Research
  • OR 542 Stochastic Models in Operations Research
  • STAT 554 Applied Statistics

Advanced Emphasis Requirement

For students specializing in operations research, at least 18 of the 24 credits in the advanced emphasis requirement must either be in OR courses numbered 600 or higher or in IT courses with an OR designation. For students specializing in systems engineering, at least 18 of the 24 credits must either be in SYST courses numbered 600 or higher or in IT courses with a SYST designation. All exceptions to this rule must be approved by the student's doctoral supervisory committee and the department's doctoral coordinator. The doctoral supervisory committee and the associate dean for graduate studies and research of IT&E must approve the overall plan of study. A list of IT courses with an OR or SYST designation is available from the SEOR office.