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OR 644: Nonlinear Programming
3.00 Credits
George Mason University
Credits: 3 Nonlinear optimization theory and techniques applicable to problems in engineering, economics, operations research, and management science. Covers convex sets and functions, optimality criteria and duality; algorithms for unconstrained minimization, including descent methods, conjugate directions, Newton-type and quasi-Newton methods; and algorithms for constrained optimization, including active set methods and penalty and barrier methods. Prerequisites MATH 213 or equivalent, and OR 541; or permission of instructor. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0 When Offered S
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OR 644 - Nonlinear Programming
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OR 645: Stochastic Processes
3.00 Credits
George Mason University
Credits: 3 Cross-Listed with STAT 645 Selected applied probability models including Poisson processes, discrete- and continuous-time Markov chains, renewal and regenerative processes, semi-Markov processes, queuing and inventory systems, reliability theory, and stochastic networks. Emphasis on applications in practice as well as analytical models. Prerequisites OR 542 or STAT 544, or permission of instructor. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0 When Offered F
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OR 645 - Stochastic Processes
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OR 647: Queuing Theory
3.00 Credits
George Mason University
Credits: 3 Unified approach to queuing, organized by type of model. Single- and multiple-channel exponential queues; Erlangian models, bulk and priority queues, networks of queues; general arrival and/or service times; and statistical inference and simulation of queues are covered. Extensive use of computational software. Prerequisites OR 542, STAT 544, or permission of instructor. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0 When Offered S
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OR 647 - Queuing Theory
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OR 648: Production and Inventory Systems
3.00 Credits
George Mason University
Credits: 3 An analysis of production and inventory systems. Use of mathematical modeling for solutions of production planning and inventory control problems is introduced. Also included are stochastic inventory systems of lot sized-reorder type; periodic review and single-period models; application of dynamic programming theory to deterministic and stochastic cases; and static and dynamic production-planning models. Prerequisites OR 541 and 542, or permission of instructor. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0
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OR 648 - Production and Inventory Systems
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OR 649: Topics in Operations Research
3.00 Credits
George Mason University
Credits: 3 Advanced topic chosen according to interests of students and instructor from dynamic programming, inventory theory, queuing theory, Markov and semi-Markov decision processes, reliability theory, decision theory, network flows, large-scale linear programming, nonlinear programming, and combinatorics. Prerequisites Permission of instructor. Notes May be repeated for maximum 6 credits if topics are substantially different. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0
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OR 649 - Topics in Operations Research
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OR 651: Military Operations Research I:Cost Analysis
3.00 Credits
George Mason University
Credits: 3 While drawing on other disciplines (managerial accounting, econometrics, systems analysis), cost analysis uses operations research to assist decision makers in choosing preferred future courses of action by evaluating selected alternatives on the basis of their costs, benefits, and risks. Cost analysis is distinctly different from cost estimating in that projecting future courses of action almost always requires mathematical modeling. Topics include analysis overview, economic analysis, estimating relationships (factors, simple and complex models), acquiring and verifying cost data, cost progress curves, life-cycle costing, scheduling estimating, effectiveness and risk estimation, relationship of effectiveness models and measures to cost analysis.
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OR 651 - Military Operations Research I:Cost Analysis
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OR 652: Military Operations Research Modeling II:Effectiveness Analysis
3.00 Credits
George Mason University
Credits: 3 Examines issues and modeling underlying military decisions at the Military Service, Joint Staff, and Department of Defense level. Analytical methods with applications to theater campaign analysis, equipment and weapon system modernization, force structure development, strategic mobility and deployment, small-scale contingency operations, logistics, and requirements determination are considered. Optimization, simulation, and statistical techniques are stressed. Realistic problems presented and solved as case studies. Display of results and presentation techniques for military decision makers emphasized.
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OR 652 - Military Operations Research Modeling II:Effectiveness Analysis
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OR 660: Air Transportation Systems Modeling
3.00 Credits
George Mason University
Credits: 3 Cross-Listed with SYST 660 Introduces range of current issues in air transportation, including public policy toward the industry, industry economics, system capacity, current system modeling capability, human factors considerations, safety analysis and surveillance systems, and new technological developments. Students expected to develop broad understanding of contemporary and future issues. Knowledge evaluated through class discussions, a take-home midterm exam and a term project to be completed by the end of the semester. Prerequisites SYST 460/560, or permission of instructor. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0 When Offered S
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OR 660 - Air Transportation Systems Modeling
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OR 671: Judgment and Choice Processing and Decision Making
3.00 Credits
George Mason University
Credits: 3 Cross-Listed with SYST 671 How do people make judgments and decisions Course presents an initial review of scientific literature directed toward answering this question, and emphasizes its importance when performing decision analysis and designing systems to support judgment and decision processes. Prerequisites STAT 510 or equivalent, or permission of instructor. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0 When Offered F
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OR 671 - Judgment and Choice Processing and Decision Making
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OR 674: Dynamic Programming
3.00 Credits
George Mason University
Credits: 3 Cross-Listed with SYST 674 Course on the theory and practice of dynamic programming, i.e., optimal sequential decision making over time in the presence of uncertainties. Stresses intuition, the mathematical foundations being for the most part elementary. Introduces the theory, applications (finance, engineering, and biology), and computational aspects of dynamic programming for deterministic and stochastic problems. Prerequisites OR 442 or OR 542 or permission of instructor. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0
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OR 674 - Dynamic Programming
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