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Browsing School of Engineering by Title

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  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Robust fluid control of multiclass queueing networks 
    Su, Hua, S.M. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2006)
    This thesis applies recent advances in the field of robust optimization to the optimal control of multiclass queueing networks. We develop models that take into account the uncertainty of interarrival and service time in ...
  • Robust option pricing : An [epsilon]-arbitrage approach 
    Chen, Si, S.M. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2009)
    This research aims to provide tractable approaches to price options using robust optimization. The pricing problem is reduced to a problem of identifying the replicating portfolio which minimizes the worst case arbitrage ...
  • Robust scheduling in forest operations planning 
    Lim, Lui Cheng (Massachusetts Institute of Technology, 2008)
    Forest operations planning is a complex decision process which considers multiple objectives on the strategic, tactical and operational horizons. Decisions such as where to harvest and in what order over different time ...
  • Robust transportation network design under user equilibrium 
    Lu, Yun (Massachusetts Institute of Technology, 2007)
    We address the problem of designing a transportation network in the presence of demand uncertainty, multiple origin-destination pairs and a budget constraint for the overall construction cost, under the behavioral assumption ...
  • Runge-Kutta Discontinuous Galerkin method for the Boltzmann equation 
    Lui, Ho Man (Massachusetts Institute of Technology, 2006)
    In this thesis we investigate the ability of the Runge-Kutta Discontinuous Galerkin (RKDG) method to provide accurate and efficient solutions of the Boltzmann equation. Solutions of the Boltzmann equation are desirable in ...
  • A scalable methodology for modeling cities as systems of systems 
    Wachtel, Amanda M. (Amanda Marie) (Massachusetts Institute of Technology, 2013)
    As cities evolve in size and complexity, their component systems become more interconnected. Comprehensive modeling and simulation is needed to capture interactions and correctly assess the impact of changes. This thesis ...
  • Scheduling of biological samples for DNA sequencing 
    Hu, Yuwei, S.M. Massachusetts Institute of Technology; Lim, Chin Soon (Massachusetts Institute of Technology, 2009)
    In a DNA sequencing workflow, a biological sample has to pass through multiple process steps. Two consecutive steps are hydroshearing and library construction. Samples arrive randomly into the inventory and are to complete ...
  • Semidefinite relaxation based branch-and-bound method for nonconvex quadratic programming 
    Hu, Sha, S.M. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2006)
    In this thesis, we use a semidefinite relaxation based branch-and-bound method to solve nonconvex quadratic programming problems. Firstly, we show an interval branch-and-bound method to calculate the bounds for the minimum ...
  • Sensitivity analysis of oscillating hybrid systems 
    Saxena, Vibhu Prakash (Massachusetts Institute of Technology, 2010)
    Many models of physical systems oscillate periodically and exhibit both discrete-state and continuous-state dynamics. These systems are called oscillating hybrid systems and find applications in diverse areas of science ...
  • Setting optimal production lot sizes and planned lead times in a job shop system 
    Yuan, Rong, S.M. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2013)
    In this research we model a job shop that produces a set of discrete parts in a make-to-stock setting. The intent of the research is to develop a planning model to determine the optimal operating tactics that minimize the ...
  • A shifting method for dynamic system Model Order Reduction 
    Xu, Song, S.M. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2007)
    Model Order Reduction (MOR) is becoming increasingly important in computational applications. At the same time, the need for more comprehensive models of systems is generating problems with increasing numbers of outputs ...
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