Title of dissertation: SIMULATION OPTIMIZATION OF TRAFFIC LIGHT SIGNAL TIMINGS VIA PERTURBATION ANALYSIS William Casey Howell, Doctor of Philosophy, 2006 Dissertation directed by: Professor Michael C. Fu Applied Mathematics and Scientific Computation Program We develop simulation optimization algorithms for determining the traffic light signal timings for an isolated intersection and a network ...

A topological pump of the $SU(Q)$ quantum chain is proposed associated with a current due to local $[U(1)]^{\otimes Q}$ gauge invariance colored fermions. The invariant dimer phases are characterized by $Z_Q$ Berry as order parameter $d$-dimensional twist space ($d=Q-1$) synthetic Brillouin zone. By inclusion symmetry breaking perturbation specified rational $\Phi=P/Q$, pump, that encloses arou...

By the nonstandard analysis theory of turbulence, the governing equations of compressible turbulence are given. The equations can hold at non-uniform points, in fact, are new kind of equations. There are three choices. In the choice one, the second-order infinitesimal quantities are neglected, the closed equations about the point(monad)-average quantities are obtained. In other two choices, the...

We present an accurate and numerically efficient procedure of calculating Jacobians by finite difference that consists of two components: (1) a method employing the saving of atmospheric layers that accelerates the solution to the equation of radiative transfer for solvers that use the Discrete Space formulation and (2) a method of perturbing the eigenmatrix spectrum associated with a reduced a...

in this paper, we give an analytical approximate solution for an integro- differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields is considered. the homotopy analysis method (ham) is used for solving this equation. several examples are given to reconfirm the efficiency of these algorithms. the results of applying this procedure...

The Lyapunov spectrum describes the exponential growth, or decay, of infinitesimal phase-space perturbations. The perturbation associated with the maximum Lyapunov exponent is strongly localized in space, and only a small fraction of all particles contributes to the perturbation growth at any instant of time. This fraction converges to zero in the thermodynamic large-particle-number limit. For ...

By the nonstandard analysis theory of turbulence, the governing equations of compressible turbulence are given. The equations can hold at non-uniform points, in fact, are new kind of equations. There are three choices. In the choice one, the second-order infinitesimal quantities are neglected, the closed equations about the point(monad)-average quantities are obtained. In other two choices, the...

When a fluid is injected into porous medium saturated with an ambient of greater density, the forms plume that rises upwards due to buoyancy. In near field injection point, adjusts its speed match buoyancy velocity medium, either thinning or thickening conserve mass. These adjustments are dominant controls on near-field shape, rather than mixing fluid, which occurs over larger vertical distance...