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Now showing items 1-10 of 18

#### A Modified Greenberg Speed-flow Traffic Model

(University of Texas at Arlington, 2008)

A modified Greenberg speed-flow model is proposed. We assume speed is a logarithmic function of free-flow speed, concentration and a minimum constant density. Optimization techniques are used to maximize the flow. Taylor's ...

#### Minkowski's Inequality for Convex Curves

(University of Texas at Arlington, 2001-05)

Minkowski's inequality is a relation between mixed areas of two curves and their respective areas. The concept of mixed area is defined. A variational technique is used to give a proof of Minkowski's inequality. As a special ...

#### On the Computation of Semivalues for TU Games

(University of Texas at Arlington, 2008-12)

In an earlier paper, [Dragan,2006a] , we proved that every Least Square Value is the Shapley Value of a game obtained by rescaling from the given game. In the paper where the Least Square Values were introduced by Ruiz, ...

#### Molecular Study of Turbulence in Three Dimensional Cavity Flow

(University of Texas at Arlington, 2000-04)

Three dimensional molecular cavity problems are formulated and solved numerically. The fluid considered is water at 15°C. The turbulent flows generated are characterized by strong crosscurrents over the usual primary vortex ...

#### On a New Mathematical Model of the Molecular Bond

(University of Texas at Arlington, 2001-05)

Using a new model of the molecular bond, we produce a set of initial conditions for the ground state H2 molecule which yield, over one complete period, bond length and vibrational frequency which are identical to the ...

#### The Least Square Values and the Shapley Value for Cooperative TU Games

(University of Texas at Arlington, 2003-05)

The Least Square Values (briefly LS-values), represent a family of values for cooperative transferable utility games, introduced by L. Ruiz. F. Valenciano and J.Zarzuelo (1998). For a fixed set of players N, a set of weights ...

#### The Reflection Property in Normed Linear Planes with Applications to Generalized Conics

(University of Texas at Arlington, 2005-07)

The ancient Greek mathematician Heron was the first to solve the problem of finding the shortest path from point A to point B on one side of the line L, subject to the condition that the path goes from A to L and then to ...

#### On the Computation of Weighted Shapley Values for Cooperative TU Games

(University of Texas at Arlington, 2008)

This paper is considering the problem of dividing fairly the worth of the grand coalition in a transferable utilities game, in case that the coalition is formed. The computational experience for the Shapley Value, the most ...

#### Fortran Program HH1

(University of Texas at Arlington, 2002-03)

#### Discrete Spring Solitons

(University of Texas at Arlington, 2001-05)

A soliton is a local, traveling wave pulse. It is significant in a variety of unrelated areas, like studies of water waves, acoustic waves, electron transfer, gravity waves, plasmas, optics and condensed matter (Miura [4], ...