Now showing items 115-134 of 170

    • Parameter and state model reduction for Bayesian statistical inverse problems 

      Lieberman, Chad Eric (Massachusetts Institute of Technology, 2009)
      Decisions based on single-point estimates of uncertain parameters neglect regions of significant probability. We consider a paradigm based on decision-making under uncertainty including three steps: identification of ...
    • Particle filtering with Lagrangian data in a point vortex model 

      Mitra, Subhadeep (Massachusetts Institute of Technology, 2012)
      Particle filtering is a technique used for state estimation from noisy measurements. In fluid dynamics, a popular problem called Lagrangian data assimilation (LaDA) uses Lagrangian measurements in the form of tracer positions ...
    • Physics-based machine learning and data-driven reduced-order modeling 

      Swischuk, Renee C.(Renee Copland) (Massachusetts Institute of Technology, 2019)
      This thesis considers the task of learning efficient low-dimensional models for dynamical systems. To be effective in an engineering setting, these models must be predictive -- that is, they must yield reliable predictions ...
    • Polynomial policies in supply chain networks 

      He, Liwei (Massachusetts Institute of Technology, 2010)
      This thesis aims to solve the periodic-reviewed inventory control problem in supply chain networks with uncertain demand so as to minimize the overall cost of the system over a fixed planning time horizon. In such problems, ...
    • Pre-bid network analysis for transportation procurement auction under stochastic demand 

      Wang, Qian (Massachusetts Institute of Technology, 2007)
      Transportation procurement is one of the most critical sourcing decisions to be made in many companies. This thesis addresses a real-life industrial problem of creating package bids for a company's transportation procurement ...
    • A preconditioned Newton-Krylov method for computing steady-state pulse solutions of mode-locked lasers 

      Birge, Jonathan R. (Jonathan Richards) (Massachusetts Institute of Technology, 2008)
      We solve the periodic boundary value problem for a mode-locked laser cavity using a specially preconditioned matrix-implicit Newton-Krylov solver. Solutions are obtained at least an order of magnitude faster than with ...
    • Prediction of velocity distribution from the statistics of pore structure in 3D porous media via high-fidelity pore-scale simulation 

      AlAdwani, Mohammad S. Kh. F. Sh (Massachusetts Institute of Technology, 2017)
      Fluid flow and particle transport through porous media are determined by the geometry of the host medium itself. Despite the fundamental importance of the velocity distribution in controlling early-time and late-time ...
    • Price of anarchy in a Bertrand oligopoly market 

      Sun, Wei, S.M. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2006)
      The price of anarchy quantifies the inefficiency that occurs in the total system objective in the user optimization as compared to the system optimization setting. It is well known that this inefficiency occurs due to lack ...
    • Pricing with quality perception : theory and experiment 

      Sinchaisri, Wichinpong (Wichinpong Park) (Massachusetts Institute of Technology, 2016)
      Quality is one of the most important factors behind a decision to purchase any product. Consumers have long assumed that price and quality are highly correlated, and that as the price of a product increases, its quality ...
    • A quantitative approach to patient risk assessment and safety optimization in intensive care units 

      Hu, Yiqun, S.M. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2017)
      Health care quality and patient safety has gained an increasing amount of attention for the past two decades. The quality of care nowadays does not only refer to successful cure of diseases for patients, but a much broader ...
    • Racing line optimization 

      Xiong, Ying, S.M. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2010)
      Although most racers are good at controlling their cars, world champions are always talented at choosing the right racing line while others mostly fail to do that. Optimal racing line selection is a critical problem in car ...
    • Random obtuse triangles and convex quadrilaterals 

      Banerjee, Nirjhar (Massachusetts Institute of Technology, 2009)
      We intend to discuss in detail two well known geometrical probability problems. The first one deals with finding the probability that a random triangle is obtuse in nature. We initially discuss the various ways of choosing ...
    • Recovery of primal solution in dual subgradient schemes 

      Ma, Jing, S.M. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2007)
      In this thesis, we study primal solutions for general optimization problems. In particular, we employ the subgradient method to solve the Lagrangian dual of a convex constrained problem, and use a primal-averaging scheme ...
    • Reduced basis method for 2nd order wave equation : application to one-dimensional seismic problem 

      Tan Yong Kwang, Alex (Massachusetts Institute of Technology, 2006)
      In this thesis, we solve the 2nd order wave equation, which is hyperbolic and linear in nature, to determine the pressure distribution for a one-dimensional seismic problem with smooth initial pressure and rate of pressure ...
    • Reduced basis method for Boltzmann equation 

      Garlapati, Revanth Reddy (Massachusetts Institute of Technology, 2006)
      The main aim of the project is to solve the BGK model of the Knudsen parameterized Boltzmann equation which is 1-d with respect to both space and velocity. In order to solve the Boltzmann equation, we first transform the ...
    • A reduced-basis method for input-output uncertainty propagation in stochastic PDEs 

      Vidal Codina, Ferran (Massachusetts Institute of Technology, 2013)
      Recently there has been a growing interest in quantifying the effects of random inputs in the solution of partial differential equations that arise in a number of areas, including fluid mechanics, elasticity, and wave ...
    • Reduced-dimension model for the Rayleigh-Taylor instability in a Hele-Shaw cell 

      Alqatari, Samar(Samar Ali A.) (Massachusetts Institute of Technology, 2019)
      In this thesis we present a reduced-dimension model for the density-driven hydrodynamic Rayleigh-Taylor instability. We motivate the project with experimental findings of a little-understood stabilizing effect of geometry ...
    • Reduced-space Gaussian process regression forecast for nonlinear dynamical systems 

      Wan, Zhong Yi, S.M. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2016)
      In this thesis work, we formulate a reduced-order data-driven strategy for the efficient probabilistic forecast of complex high-dimensional dynamical systems for which data-streams are available. The first step of this ...
    • Relative effectiveness of inhibition strategies for control of biological signaling pathways 

      Li, Meng, S.M. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2010)
      Many therapeutically useful and critically important drugs are inhibitors of particular enzymes in a signaling pathway. The efficiency with which an inhibitor inactivates its target can be characterized by the binding ...
    • Return on investment and library complexity analysis for DNA sequencing 

      Hogstrom, Larson J (Massachusetts Institute of Technology, 2016)
      Understanding the profiles of information acquisition during DNA sequencing experiments is critical to the design and implementation of large-scale studies in medical and population genetics. One known technical challenge ...