| OR 501 | Introduction to Operations Research | 3(3-0-0) F,S |
| Preq: MA 421 or ST 421 or ST 371 and ST 372 |
| OR Approach: modeling, constraints, objective and criterion. Problems of multiple criteria, optimization, model validation and systems design. OR Methodology: mathematical programming; optimum seeking; simulation, gaming; heuristic programming. Examples, OR Applications: theory of inventory; economic ordering under deterministic and stochastic demand. Production smoothing problem; linear and quadratic cost functions. Waiting line problems: single and multiple servers with Poisson input and output. Theory of games for two-person competitive situations. Project management through PERT-CPM. |
| Course Offerings: fall sprg | WolfWare Info |
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| OR 502 | Introduction to Systems Theory | 3(3-0-0) F |
| Preq: MA 341, ST 371 |
| Modeling of systems and their dynamics in variety of contexts: systems identification, controllability and observability; operational methods and their use in modeling; analysis and synthesis of systems; optimization. |
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| OR (MA) 504 | Introduction to Mathematical Programming | 3(3-0-0) S |
| Preq: MA 242, MA 405 |
| Basic concepts of linear, nonlinear and dynamic programming theory. Not for majors in OR at Ph.D. level. |
| Course Offerings: fall | WolfWare Info |
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| OR (ISE) (MA) 505 | Linear Programming | 3(3-0-0) F,S |
| Preq: MA 405 |
| Introduction including: applications to economics and engineering; the simplex and interior-point methods; parametric programming and post-optimality analysis; duality matrix games, linear systems solvability theory and linear systems duality theory; polyhedral sets and cones, including their convexity and separation properties and dual representations; equilibrium prices, Lagrange multipliers, subgradients and sensitivity analysis. |
| Course Offerings: fall sprg | WolfWare Info |
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| OR 506 | Algorithmic Methods in Nonlinear Programming | 3(3-0-0) S |
| Preq: MA 301, MA 405, knowledge of computer language, such as FORTRAN or PL1 |
| Introduction to methods for obtaining approximate solutions to unconstrained and constrained minimization problems of moderate size. Emphasis on geometrical interpretation and actual coordinate descent, steepest descent, Newton and quasi-Newton methods, conjugate gradient search, gradient projection and penalty function methods for constrained problems. Specialized problems and algorithms treated as time permits. |
| Course Offerings: fall sprg | WolfWare Info |
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| OR (CHE) 527 | Optimization of Engineering Processes | 3(3-0-0) F |
| Preq: CHE 451 or OR 501, FORTRAN programming |
| Formulation and solution of process optimization problems, with emphasis on nonlinear programming techniques. Computer implementation of optimization algorithms and structuring of process models to increase computational efficiency. |
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| OR (E) (MA) 531 | Dynamic Systems and Multivariable Control I | 3(3-0-0) F |
| Preq: MA 341, MA 405 |
| Introduction to modeling, analysis and control of linear discrete-time and continuous-time dynamical systems. State space representations and transfer methods. Controllability and observability. Realization. Applications to biological, chemical, economic, electrical, mechanical and sociological systems. |
| Course Offerings: fall | |
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| OR (CSC) (MA) 565 | Graph Theory | 3(3-0-0) F |
| Preq: MA 231 or MA 405 |
| Basic concepts of graph theory. Trees and forests. Vector spaces associated with a graph. Representation of graphs by binary matrices and list structures. Traversability. Connectivity. Matchings and assignment problems. Planar graphs. Colorability. Directed graphs. Applications of graph theory with emphasis on organizing problems in a form suitable for computer solution. |
| Course Offerings: fall | WolfWare Info |
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| OR (CSC) (ECE) 579 | Introduction to Computer Performance Modeling | 3(3-0-0) F |
| Preq: CSC 312 and MA 421 |
| Coreq: CSC 501 |
| Workload characterization, collection and analysis of performance data, instrumentation, tuning, analytic models including queuing network models and operational analysis, economic considerations. |
| Course Offerings: fall sum1 sprg | WolfWare Info |
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| OR 591 | Special Topics in Operations Research | 1-3 F,S,Sum |
| Preq: Consent of Instructor |
| Individual or small group studies of special areas of OR which fit into students' programs of study and which may not be covered by other OR courses. Furthermore, course serves as a vehicle for introducing new or specialized topics at introductory graduate level. |
| Course Offerings: sprg | |
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| OR 601 | Seminar in Operations Research | 1(1-0-0) F,S |
| Preq: OR Major or OR Minor |
| Seminar discussion of operations research problems. Case analyses and reports. Graduate students with minors or majors in operations research expected to attend throughout period of their residence. |
| Course Offerings: fall sprg | |
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| OR 610 | Special Topics in Operations Research | 1-3 F,S,Sum |
| Preq: Consent of Instructor |
| Individual or small group studies of special areas of OR which fit into students' programs of study and which may not be covered by other OR courses. Furthermore, course serves as a vehicle for introducing new or specialized topics at introductory graduate level. |
| Course Offerings: fall sum1 sum2 sprg | WolfWare Info |
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| OR 615 | Advanced Special Topics in Operations Research | 3(3-0-0) F,S,Sum. |
| Preq: OR 501, OR(IE,MA) 505 |
| Course allows individual students or small groups of students to take on studies of special areas in OR which fit into their particular program and which may not be covered by other OR courses. The work directed by a qualified faculty member and in some instances by visiting professors. The subject matter in any year dependent on students and faculty members. |
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| OR 652 | Practicum in Operations Research | 1-3 F,S |
| Preq: OR 501, OR 505, OR 709 and OR 761 |
| Practicum in problem solving in industry applying applicable OR methodologies. Practical experience in diagnosing and solving problems in operational systems at either an industrial site or at NC State. |
| Course Offerings: sum1 sum2 sprg | WolfWare Info |
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| OR 685 | Master's Supervised Teaching | 1-3 F, S, Sum |
| Preq: Master's student |
| Teaching experience under the mentorship of faculty who assist the student in planning for the teaching assignment, observe and provide feedback to the student during the teaching assignment, and evaluate the student upon completion of the assignment. |
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| OR 688 | Non-Thesis Masters Continuous Registration - Half Time Registration | 1(1-0-0) F,S,Sum |
| Preq: Master's student |
| For students in non-thesis master's programs who have completed all credit hour requirements for their degree but need to maintain half-time continuous registration to complete incomplete grades, projects, final master's exam, etc. |
| Course Offerings: sprg | |
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| OR 689 | Non-Thesis Master Continuous Registration - Full Time Registration | 3(3-0-0) F,S,Sum |
| Preq: Master's student |
| For students in non-thesis master's programs who have completed all credit hour requirements for their degree but need to maintain full-time continuous registration to complete incomplete grades, projects, final master's exam, etc. Students may register for this course a maximum of one semester. |
| Course Offerings: sprg | |
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| OR 690 | Master's Examination | 1-6 F,S,Sum |
| Preq: Master's student |
| For students in non thesis master's programs who have completed all other requirements of the degree except preparing for and taking the final master's exam. |
| Course Offerings: fall sum1 sum2 sprg | |
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| OR 693 | Master's Supervised Research | 1-9 F,S,Sum |
| Preq: Master's student |
| Instruction in research and research under the mentorship of a member of the Graduate Faculty. |
| Course Offerings: sprg | |
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| OR 695 | Master's Thesis Research | 1-9 F,S |
| Preq: Master's student |
| Thesis research. |
| Course Offerings: fall sum1 sum2 sprg | |
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| OR 696 | Summer Thesis Research | 1(1-0-0) Sum |
| Preq: Master's student |
| For graduate students whose programs of work specify no formal course work during a summer session and who will be devoting full time to thesis research. |
| Course Offerings: sum1 | |
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| OR 699 | Master's Thesis Preparation | 1-3 |
| Preq: Master's student |
| For student who have completed all credit hour requirements and full-time enrollment for the master's degree and are writing and defending their theses. |
| Course Offerings: fall sum1 sum2 sprg | |
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| OR 705 | Large-Scale Linear Programming Systems | 3(3-0-0) Alt. S |
| Preq: OR 505 and FORTRAN programming experience |
| Specialized algorithms for efficient solution of large-scale LP problems. Parametric programming, bounded variable algorithms, generalized upper bounding, decomposition, matrix factorization and sparse matrix techniques. Emphasis on gaining firsthand practical experience with current computer codes and computational procedures. |
| Course Offerings: fall | |
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| OR (MA) (ST) 706 | Nonlinear Programming | 3(3-0-0) F, S |
| Preq: OR(IE,MA) 505 and MA 425 |
| An advanced mathematical treatment of analytical and algorithmic aspects of finite dimensional nonlinear programming. Including an examination of structure and effectiveness of computational methods for unconstrained and constrained minimization. Special attention directed toward current research and recent developments in the field. |
| Course Offerings: sprg | WolfWare Info |
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| OR (ISE) (MA) 708 | Integer Programming | 3(3-0-0) S, Alt yrs |
| Preq: MA 405, OR (MA,IE) 505 |
| Coreq: Some familiarity with computers (e.g., CSC 112) |
| General integer programming problems and principal methods of solving them. Emphasis on intuitive presentation of ideas underlying various algorithms rather than detailed description of computer codes. Students have some "hands on" computing experience that should enable them to adapt ideas presented in course to integer programming problems they may encounter. |
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| OR (ISE) 709 | Dynamic Programming | 3(3-0-0) S |
| Preq: MA 405, ST 421 |
| Introduction to theory and computational aspects of dynamic programming and its application to sequential decision problems. |
| Course Offerings: sprg | WolfWare Info |
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| OR 710 | Advanced Dynamic Programming | 3(3-0-0) F, Alt yrs |
| Preq: OR 709, MA 546 |
| Introduction to measure theoretic concepts, review of finite state Markov processes, theory of Markovian programming, discrete decision processes, continuous time dynamic programming, relation to calculus of variation and the Maximum Principle. Emphasis throughout on recent theoretical development in the field. |
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| OR (MA) 719 | Vector Space Methods in System Optimization | 3(3-0-0) F |
| Preq: MA 405, 511 |
| Introduction to algebraic and function-analytic concepts used in system modeling and optimization: vector space, linear mappings, spectral decomposition, adjoints, orthogonal projection, quality, fixed points and differentials. Emphasis on geometricinsight. Topics include least square optimization of linear systems, minimum norm problems in Banach space, linearization in Hilbert space, iterative solution of system equations and optimization problems. Broad range of applications in operations research and system engineering including control theory, mathematical programming, econometrics, statistical estimation, circuit theory and numerical analysis. |
| Course Offerings: fall | |
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| OR (BMA) (ST) 722 | Decision Analytic Modeling | 4(3-2-0) F Alt Yrs |
| Preq: MA 421 or ST 421 plus ST 511or ST 516 |
| Analysis of decision problems involving risk and uncertainty. Modeling decision process; Bayesian probability analysis, use of information, and subjective probability; utility theory and multi-attribute utility assessment; dynamics of interacting with decision makers and subject-matter specialists; decision trees, influence diagrams and other tools to assist in modeling decision problems. Laboratory develops skill in implementing methodology. |
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| OR (ISE) 726 | Theory of Activity Networks | 3(3-0-0) S. Alt. yrs. |
| Preq: OR 501, OR(IE,MA) 505 |
| Introduction to graph theory and network theory. In-depth discussion of theory underlying (1) deterministic activity networks (CPM): optimal time-cost trade offs; the problem of scarce resources; (2) probabilistic activity networks (PERT): critical evaluation of underlying assumptions; (3) generalized activity networks (GERT, GAN): applications of signal flow graphs and semi-Markov process to probabilistic branching; relation to the theory of scheduling. |
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| OR (E) (MA) 731 | Dynamic Systems and Multivariable Control II | 3(3-0-0) S. Alt. yrs. |
| Preq: OR(E,MA) 531 |
| Stability of equilibrium points for nonlinear systems. Liapunov functions. Unconstrained and constrained optimal control problems. Pontryagin's maximum principle and dynamic programming. Computation with gradient methods and Newton methods. Multidisciplinary applications. |
| Course Offerings: sprg | |
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| OR (ISE) 760 | Applied Stochastic Models in Industrial Engineering | 3(3-0-0) F |
| Preq: MA 303, ST 371 |
| Formulation and analysis of stochastic models with particular emphasis on applications in industrial engineering; univariate, multivariate and conditional probability distributions; unconditional and conditional expectations; elements of stochastic processes; moment-generating functions; concepts of stochastic convergence; limit theorems; homogeneous, nonhomogeneous and compound Poisson processes; basic renewal theory; transient and steady-state properties of Markov processes in discrete and continuous time. |
| Course Offerings: fall | |
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| OR (ISE) 761 | Queues and Stochastic Service Systems | 3(3-0-0) F, S |
| Introduction of general concepts of stochastic processes. Poisson processes, Markov processes and renewal theory. Usage of these in analysis of queues, from with a completely memoryless queue to one with general parameters. Applications to many engineering problems. |
| Course Offerings: sprg | WolfWare Info |
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| OR (CSC) (ISE) 762 | Computer Simulation Techniques | 3(3-0-0) F |
| Basic discrete event simulation methodology: random number generators, simulation designs, validation, analysis of simulation output. Applications to various areas of scientific modeling. Simulation language such as SLAM and GPSS. Computer assignments and projects. |
| Course Offerings: fall sprg | WolfWare Info |
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| OR (ISE) (MA) 766 | Network Flows | 3(2-2-0) S, Alt yrs |
| Preq: OR(IE,MA) 505 |
| Study of problems of flows in networks. These problems include the determination of shortest chain, maximal flow and minimal cost flow in networks. Relationship between network flows and linear programming developed as well as problems with nonlinear cost functions, multi-commodity flows and problem of network synthesis. |
| Course Offerings: sprg | |
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| OR (ISE) 772 | Stochastic Simulation Design and Analysis | 3(3-0-0) S |
| Advanced topics in stochastic system simulation, including random variate generation, output estimation for stationary and non-stationary models, performance optimization techniques, variance reduction approaches. Student application of these techniques to actual simulations. A current topic research paper required. |
| Course Offerings: sprg | WolfWare Info |
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| OR (BMA) (MA) (ST) 773 | Stochastic Modeling | 3(3-0-0) S, Alt yrs |
| Preq: BMA 772 or ST (MA) 746 |
| Survey of modeling approaches and analysis methods for data from continuous state random processes. Emphasis on differential and difference equations with noisy input. Doob-Meyer decomposition of process into its signal and noise components. Examples from biological and physical sciences, and engineering. Student project. |
| Course Offerings: fall | |
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| OR (BMA) (MA) 774 | Partial Differential Equation Modeling in Biology | 3(3-0-0) S |
| Preq: BMA 771 or MA/OR 731; BMA 772 or MA 401 or MA 501 |
| Modeling with and analysis of partial differential equations as applied to real problems in biology. Review of diffusion and conservation laws. Waves and pattern formation. Chemotaxis and other forms of cell and organism movement. Introduction to solid and fluid mechanics/dynamics. Introductory numerical methods. Scaling. Perturbations, Asymptotics, Cartesian, polar and spherical geometries. Case studies. |
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| OR (ISE) (MA) 790 | Advanced Special Topics System Optimization | 1-3 F,S |
| Advanced topics in some phase of system optimization using traditional course format. Identification of various specific topics and prerequisites for each section from term to term. |
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| OR 791 | Advanced Special Topics | 1-3 F,S |
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| Course Offerings: fall sprg | |
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| OR 801 | Seminar in Operations Research | 1(1-0-0) F,S |
| Preq: OR Major or OR Minor |
| Seminar discussion of operations research problems. Case analyses and reports. Graduate students with minors or majors in operations research expected to attend throughout period of their residence. |
| Course Offerings: fall sprg | |
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| OR 810 | Special Topics in Operations Research | 1-3 F,S,Sum |
| Preq: Consent of Instructor |
| Individual or small group studies of special areas of OR which fit into students' programs of study and which may not be covered by other OR courses. Furthermore, course serves as a vehicle for introducing new or specialized topics at introductory graduate level. |
| Course Offerings: fall sum1 sum2 sprg | |
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| OR (ISE) (MA) 812 | Special Topics in Mathematical Programming | 1-3 S. Alt. yrs. |
| Preq: IE(MA,OR) 505 |
| Study of special advanced topics in area of mathematical programming. Discussion of new techniques and current research in this area. The faculty responsible for this course select areas to be covered during semester according to their preference and interest. This course not necessarily taught by an individual faculty member but can, on occasion, be joint effort of several faculty members from this university as well as visiting faculty from other institutions. To date, a course of Theory of Networks and another on Integer Programming offered under the umbrella of this course. Anticipation that these two topics will be repeated in future together with other topics. |
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| OR 815 | Special Topics in Operations Research | 3(3-0-0) F,S,Sum. |
| Preq: OR 501, OR(IE,MA) 505 |
| Course allows individual students or small groups of students to take on studies of special areas in OR which fit into their particular program and which may not be covered by other OR courses. The work directed by a qualified faculty member and in some instances by visiting professors. The subject matter in any year dependent on students and faculty members. Credits Arranged. |
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| OR (ISE) (MA) 816 | Advanced Special Topics Sys Opt | 1-3 F,S |
| Advanced topics in some phase of system optimization. Identification of various specific topics and prerequisite for each section from term to term. |
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| OR 852 | Practicum in Operations Research | 1-3 F,S |
| Preq: OR 501, OR 505, OR 709 and OR 761 |
| Practicum in problem solving in industry applying applicable OR methodologies. Practical experience in diagnosing and solving problems in operational systems at either an industrial site or at NC State. |
| Course Offerings: sum1 sum2 | |
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| OR (ISE) 862 | Scheduling and Routing | 3(3-0-0) S, Alt yrs |
| Preq: IE 723, OR 501, OR(MA) 504 |
| In-depth study of analytical models of problems arising in the scheduling of single and parallel processors, flow shops and job shops and in routing and scheduling of delivery vehicles. Emphasis on analysis, solution methodologies and underlying theory. Discussion of recent trends and outstanding problems from both theoretical and applied points of view. |
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| OR 885 | Doctoral Supervised Teaching | 1-3 F,S,Sum |
| Preq: Doctoral student |
| Teaching experience under the mentorship of faculty who assist the student in planning for the teaching assignment, observe and provide feedback to the student during the teaching assignment, and evaluate the student upon completion of the assignment. |
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| OR 890 | Doctoral Preliminary Examination | 1-9 F,S,Sum |
| Preq: Doctoral student |
| For students who are preparing for and taking written and/or oral preliminary exams. |
| Course Offerings: fall sum1 sum2 sprg | |
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| OR 893 | Doctoral Supervised Research | 1-9 F,S,Sum |
| Preq: Doctoral student |
| Instruction in research and research under the mentorship of a member of the Graduate Faculty. |
| Course Offerings: fall sprg | |
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| OR 895 | Doctoral Dissertation Research | 1-9 F,S,Sum |
| Preq: Doctoral student |
| Dissertation research. |
| Course Offerings: fall sum1 sum2 sprg | |
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| OR 896 | Summer Dissertation Research | 1(1-0-0) Sum |
| Preq: Doctoral student |
| For graduate students whose programs of work specify no formal course work during a summer session and who will be devoting full time to thesis research. |
| Course Offerings: sum1 | |
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| OR 899 | Doctoral Dissertation Preparation | 1-3 F,S,Sum |
| Preq: Doctoral student |
| For students who have completed all credit hour, full-time enrollment, preliminary examination, and residency requirements for the doctoral degree, and are writing and defending their dissertations. |
| Course Offerings: fall sum1 sum2 sprg | |