Browsing Theses  Computation for Design and Optimization by Title
Now showing items 115134 of 170

Parameter and state model reduction for Bayesian statistical inverse problems
(Massachusetts Institute of Technology, 2009)Decisions based on singlepoint estimates of uncertain parameters neglect regions of significant probability. We consider a paradigm based on decisionmaking under uncertainty including three steps: identification of ... 
Particle filtering with Lagrangian data in a point vortex model
(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 ... 
Physicsbased machine learning and datadriven reducedorder modeling
(Massachusetts Institute of Technology, 2019)This thesis considers the task of learning efficient lowdimensional 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
(Massachusetts Institute of Technology, 2010)This thesis aims to solve the periodicreviewed 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, ... 
Prebid network analysis for transportation procurement auction under stochastic demand
(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 reallife industrial problem of creating package bids for a company's transportation procurement ... 
A preconditioned NewtonKrylov method for computing steadystate pulse solutions of modelocked lasers
(Massachusetts Institute of Technology, 2008)We solve the periodic boundary value problem for a modelocked laser cavity using a specially preconditioned matriximplicit NewtonKrylov 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 highfidelity porescale simulation
(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 earlytime and latetime ... 
Price of anarchy in a Bertrand oligopoly market
(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
(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
(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
(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
(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
(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 primalaveraging scheme ... 
Reduced basis method for 2nd order wave equation : application to onedimensional seismic problem
(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 onedimensional seismic problem with smooth initial pressure and rate of pressure ... 
Reduced basis method for Boltzmann equation
(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 1d with respect to both space and velocity. In order to solve the Boltzmann equation, we first transform the ... 
A reducedbasis method for inputoutput uncertainty propagation in stochastic PDEs
(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 ... 
Reduceddimension model for the RayleighTaylor instability in a HeleShaw cell
(Massachusetts Institute of Technology, 2019)In this thesis we present a reduceddimension model for the densitydriven hydrodynamic RayleighTaylor instability. We motivate the project with experimental findings of a littleunderstood stabilizing effect of geometry ... 
Reducedspace Gaussian process regression forecast for nonlinear dynamical systems
(Massachusetts Institute of Technology, 2016)In this thesis work, we formulate a reducedorder datadriven strategy for the efficient probabilistic forecast of complex highdimensional dynamical systems for which datastreams are available. The first step of this ... 
Relative effectiveness of inhibition strategies for control of biological signaling pathways
(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
(Massachusetts Institute of Technology, 2016)Understanding the profiles of information acquisition during DNA sequencing experiments is critical to the design and implementation of largescale studies in medical and population genetics. One known technical challenge ...