510
Industrial Engineering & Management (IEM)
IEM 6000 Doctoral Research and Dissertation Prerequisites: Approval of major adviser and advisory committee. Description: Independent research for PhD dissertation requirement under direction of a member of the Graduate Faculty. Offered for variable credit, 1-15 credit hours, maximum of 30 credit hours. Credit hours: 1-15 Contact hours: Other: 1 Levels: Graduate Schedule types: Independent Study Department/School: Industrial Engr & Mgmt IEM 6033 Linear Optimization Prerequisites: Concurrent Prerequisite IEM 5013 or consent of instructor. Description: Mathematical theory of linear optimization and the implications for algorithm development. Fundamentals of convex analysis, polyhedral sets, development of the simplex method, Farkas’ lemma, development of duality theory, sensitivity analysis, Dantzig- Wolfe decomposition, Benders decomposition, interior point algorithms. Previously offered as IEM 5033. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Industrial Engr & Mgmt IEM 6043 Nonlinear Optimization Prerequisites: IEM 6033 or consent of instructor. Description: Mathematical foundations of nonlinear optimization theory and algorithms. Introduction to convex analysis, local/global optima, optimality conditions, and their implications for model and algorithm development. Convex functions and generalizations, Fritz John and Karush-Kuhn-Tucker optimality conditions, constraint qualifications, Lagrangian duality and saddle point optimality conditions, gradient-based and quasi-Newton methods for unconstrained optimization. Previously offered as IEM 5043. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Industrial Engr & Mgmt IEM 6053 Integer and Combinatorial Optimization Prerequisites: Concurrent prerequisites. IEM 5063, IEM 6033, or consent of instructor. Description: Theory, algorithms, and applications of discrete optimization. Binary, pure, and mixed-integer linear optimization formulations, relaxations; preprocessing, branch and bound, formulation strength, polynomial equivalence of separation and optimization; theory of polyhedra, convex hulls and facets, valid inequalities for pure and mixed- integer problems, lifting, perfect formulations, extended formulations. Previously offered as IEM 6023. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Industrial Engr & Mgmt
IEM 6063 Optimization Under Uncertainty Prerequisites: IEM 5013, IEM 6033, IEM 5003 or consent of instructor. Description: Introduction to concepts, principles, and techniques for optimization under uncertainty. Formulating two-stage stochastic linear and integer programs; sample average approximation and decomposition methods; conditional value-at-risk and chance-constrained optimization; robust linear optimization, robust conic optimization, and robust multi- stage optimization; distributionally robust and data-driven optimization. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Industrial Engr & Mgmt IEM 6110 Special Problems in Industrial Engineering Prerequisites: Consent of school head and approval of major adviser. Description: Special problems in industrial engineering and management under supervision of a member of the Graduate Faculty. Offered for variable credit, 1-6 credit hours, maximum of 6 credit hours. Credit hours: 1-6 Contact hours: Other: 1 Levels: Graduate Schedule types: Independent Study Department/School: Industrial Engr & Mgmt IEM 6123 Queuing Systems: Theory and Manufacturing Applications Prerequisites: IEM 5003, STAT 5133 or consent of instructor. Description: Review of probability, stochastic processes, and Markov chains. Single-server and multi-server exponential queuing models. Queuing models with Poisson arrivals and general service times. Product form queuing network models: open and closed network models, mean value analysis algorithms for closed models, and single class and multiclass models. Approximations for general single server queues and non-product form networks. Applications of queuing models in the performance analysis of transfer lines, automatic assembly systems, and flexible manufacturing systems. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Industrial Engr & Mgmt IEM 6903 IEM Doctoral Seminar Description: The IE&M Doctoral Seminar is designed to train the doctoral student in the doctoral dissertation research process and is normally taken in the first year of the student's program. The course involves significant work outside the classroom, under the supervision of the student's research advisor. The class meetings will be used for some formal instruction on research methods/process, discussion of current research in IEM lead by select faculty, guest speakers, and presentations by students. Credit hours: 3 Contact hours: Lecture: 1 Other: 2 Levels: Graduate Schedule types: Independent Study, Lecture, Combined lecture & IS Department/School: Industrial Engr & Mgmt
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