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Students are expected to be able: MS&E offers programs leading to the degrees of Master of Science and Doctor of Philosophy. Applicants for admission as graduate students in MS&E must submit the results of the verbal, quantitative, and analytical parts of the Graduate Record Examination. The deadline for application to the doctoral program is December 5, 2017, and the deadline for application to the master's program is January 16, 2018. Topics in stochastic processes, emphasizing applications. Markov chains in discrete and continuous time; Markov processes in general state space; Lyapunov functions; regenerative process theory; renewal theory; martingales, Brownian motion, and diffusion processes. The major prepares students for a variety of career paths, including investment banking, management consulting, facilities and process management, or for graduate school in industrial engineering, operations research, business, economics, law, medicine, or public policy . Teaches creativity tools using workshops, case studies, field trips, expert guests, and team design challenges. For those students who are interested in a career in Patent Law, please note that this course is a prerequisite for ME238 Patent Prosecution. See also the department's undergraduate Learning Outcomes for additional learning objectives. For graduate students only, with a preference for engineering and science majors. The department’s engineering research strength is integrated with its educational program at the undergraduate, master’s, and doctoral levels: graduates of the program are trained as engineers and future leaders in technology, policy, and industry. How to organize the decision conversation, the role of the decision analysis cycle and the model sequence, assessing the quality of decisions, framing decisions, the decision hierarchy, strategy tables for alternative development, creating spare and effective decision diagrams, biases in assessment, knowledge maps, uncertainty about probability. Research and teaching activities are complemented by an outreach program that encourages the transfer of ideas to the environment of Silicon Valley and beyond. Successive approximation, policy improvement, and linear programming methods. Examples from inventory, overbooking, options, investment, queues, reliability, quality, capacity, transportation. Prerequisites: MATH 113, 115; Markov chains; linear programming. Decision Analysis II: Professional Decision Analysis. Sensitivity analysis, approximations, value of revelation, joint information, options, flexibility, bidding, assessing and using corporate risk attitude, risk sharing and scaling, and decisions involving health and safety. The mission of the undergraduate program in Management Science and Engineering is to provide students with the fundamentals of engineering systems analysis so that they are able to plan, design, and implement complex economic and technical management systems. The basic limit theorems of probability theory and their application to maximum likelihood estimation. Markov chains and processes, random walks, basic ergodic theory and its application to parameter estimation. Current stochastic models, motivated by a wide range of applications in engineering, business, and science, as well as the design and analysis of associated computational methods for performance analysis and control of such stochastic systems. In this course, we analyze recent court decisions, discuss methods from machine learning and game theory, and examine the often subtle relationship between law, public policy, and statistics. This course provides a in-depth survey of methods research for the analysis of large-scale social and behavioral data. Applications to modeling, analysis and performance engineering of computing systems, communication networks, flexible manufacturing, and service systems. Emphasis on mathematical modeling and methodology, with a view towards preparing Ph. Projects involving the practical application of optimization under uncertainty to financial planning.
MS&E’s programs also provide a basis for contributing to other areas such as biotechnology, defense policy, environmental policy, information systems, and telecommunications. Modern computational and statistical methods offer the promise of greater efficiency, equity, and transparency, but their use also raises complex legal, social, and ethical questions. Advanced stochastic modeling and control of systems involving queueing and scheduling operations. Key results on single queues and queueing networks. Dynamic routing and scheduling in processing networks. We will review recent research that aims to both understand and design such markets. Prerequisites: Mathematical maturity; 300-level background in optimization and probability; prior exposure to game theory. Multiname modeling: index and tranche swaps and options, collateralized debt obligations. Decision trees, utility, two-stage and multi-stage decision problems, approaches to stochastic programming, model formulation; large-scale systems, Benders and Dantzig-Wolfe decomposition, Monte Carlo sampling and variance reduction techniques, risk management, portfolio optimization, asset-liability management, mortgage finance. Prerequisites: 220, 226 or STATS 200, 221 or STATS 217, 245A, or equivalents. Other graduates make careers tackling the problems faced by local, national, and international governments by developing new healthcare systems, new energy systems and a more sustainable environment. The personal, team-based and organizational skills needed to become a transformative leader. Themes include: personal transformation; the inside-out effect, positive intelligence, group transformation; cross-functional teams; re-engineering; rapid - non-profit and for profit - organizational transformation; and social transformation. Guest speakers from industry will present real-world challenges related to class concepts. The application of mathematical, statistical, economic, and systems models to problems in health policy. Topics include the interplay between technology and modes of warfare; dominant and emerging technologies such as nuclear weapons, cyber, sensors, stealth, and biological; security challenges to the U. Startups operate with continual speed and urgency 24/7. Hacking for Diplomacy: Tackling Foreign Policy Challenges with the Lean Launchpad. At a time of significant global uncertainty, diplomats are grappling with transnational and cross-cutting challenges that defy easy solution including: the continued pursuit of weapons of mass destruction by states and non-state groups, the outbreak of internal conflict across the Middle East and in parts of Africa, the most significant flow of refugees since World War II, and a changing climate that is beginning to have impacts on both developed and developing countries. Topics: efficacy and ethics; use rights for property; contracts and torts; spontaneous order and free markets; crime and punishment based on restitution; guardian-ward theory for dealing with incompetents; the effects of state action-hypothesis of reverse results; applications to help the needy, armed intervention, victimless crimes, and environmental protection; transition strategies to a voluntary society. Fundamental Concepts in Management Science and Engineering. Each course session will be devoted to a specific MS&E Ph D research area. Variants of the simplex method and the state of art interior-point algorithms. Elements of convex analysis, first- and second-order optimality conditions, sensitivity and duality. Topic chosen in first class; different topics for individuals or groups possible.