Showing papers in "Mathematical Modelling in 1984"

TL;DR: In this paper, the eigenvalue, logarithmic least squares, and least squares methods are compared to derive estimates of ratio scales from a positive reciprocal matrix, and the criteria for comparison are the measurement of consistency, dual solutions, and rank preservation.

TL;DR: A unique methodology for accurately and realistically solving dynamical systems which may be strongly nonlinear and involve stochastic processes in inputs, coefficients, or initial or boundary conditions and special cases such as linear, weakly nonlinear, deterministic, etc., as well.

TL;DR: In this paper, an approach to understand the nature of markets is modelled using methods of modern nonlinear nonequilibrium statistical mechanics, and explicit relationships are derived between variables describing these agents and the macroscopic market.

TL;DR: In this article, Razumikhin-type uniformly asymptotic stability conditions are obtained for the trivial solution process of a system of stochastic functional differential equations, and an example is also given to illustrate the applicability of the results obtained.

TL;DR: In this paper, the logarithm function is proposed to be a general utility function for decision making under risk or uncertainty with known probability distribution, which is mathematically and philosophically justified.

TL;DR: In this paper, a sufficient condition is obtained for the convergence of underrelaxed block Jacobi and block Gauss-Seidel iterations for a nonlinear system of equations in terms of the strict (or Ω) diagonal dominance of an associated matrix.

TL;DR: In this paper, an age-time description of a system of two interacting species is presented, and the existence and uniqueness as well as boundedness of the solutions of the solution are established.

TL;DR: In this paper, the authors considered the pseudo-steady-state problem in an isothermal process, where reaction and diffusion are of the same order as would occur, for instance, in low temperature coke burning.

TL;DR: In this paper, conditions for stability w.p.l. are developed for a variety of stochastic population models using the Ito formulation, including the Lotka-Volterra competition equations.

TL;DR: A mathematical model for the determination of the value of a time interval as sensed by a living organism is discussed, extending previous work to include the fact that sensing may be a Gaussian white noise function of age.

TL;DR: In this paper, a direct integral equation method is presented for the solution of dual- or triple-series equations obtained from separation-of-variables solutions to mixed boundary-value problems.

TL;DR: It is concluded that the pre-elimination rod model provides both the most representative cable modelling and the most efficient computer solution.

TL;DR: Calculations are made showing that variations in the concentration of potassium are most significant in the propagation of potentials in the extracellular fluid, and have a maximum amplitude in a frequency range near to 10 Hz, which is suggested to be responsible for the alpha-rhythm which is observed experimentally in the cortex.

TL;DR: In this article, the one-dimensional classical scalar string equation which involves linearization about a horizontal reference or equilibrium position is derived, and a model for small motion about a nonhorizontal reference is derived.

TL;DR: In this paper, a microscopic model of ferromagnetism is deduced about the form of the macroscopic constitutive relationship between the fields H and M, which exhibits hysteresis and space interaction.

TL;DR: In this article, it was shown that if an income tax is converted to a consumption tax of equal progressivity and equal yield, within each income class disposable income will be shifted from low savers to high savers.

TL;DR: It would take many rounds before every expert in a specialty is nominated, and the simulation considered the effect of specialty subdivisions and showed how the distribution changes as the sample increases.

TL;DR: For the case of two offices with a and b candidates, respectively, it is shown that the minimum number of different ballots required is a+b−gcd(a, b).

TL;DR: A detailed, analytic model is developed to represent the duel between a ground laser designator (GLD) directing a sequence of laser-guided rounds against a platoon of target tanks which counterfire against the GLD.

TL;DR: In this paper, the geostrophic wind is considered as a fluid flow over a dune and the erosion on the dunes due to this flow field is calculated by using the Exnerian erosion theory.

TL;DR: In this paper, a mathematical model of the dynamic response of atrioventricular valve leaflets to the systolic pressure pulse is used to calculate the resultant energy dissipation under the action of viscous damping.

TL;DR: In this article, the authors consider wave propagation in a stratified geophysical medium to determine seismic properties of stratigraphic layers by agreement between observed data and calculated response, and propose a new approach based on the work of Adomian, in new methods for the solution of linear and nonlinear stochastic operator equations.

TL;DR: In this paper, an inventory model to assist Navy planners in managing enlisted personnel distributions between sea and shore duty is presented. But the model does not provide analytic insight into them, but it can be used interactively to assist the community manager in defining feasible rotation patterns.

TL;DR: In this paper, the authors developed a theoretical model about how risk-averse managers choose marketing policies under uncertainty in a multidivision firm organized in independent Strategic Business Units and showed that suboptimal marketing policies will be chosen in terms of price and marketing effort if the divisions are given autonomy.

TL;DR: In this paper, the interpretation of simultaneous-equation models is studied and the relation to the REID-systems and to the Cowles Commission interpretation is pointed out by means of three simple models.

TL;DR: General rules as well as closed form solutions for specific examples with Markov memory system and finite memory are obtained.

TL;DR: In this paper, the authors reexamined Yih's model for the computation of the velocity and temperature fields in a turbulent buoyant two-dimensional plume and showed that the analytical solution of the model is in good agreement with experimental results, although some discrepancy remains.

TL;DR: In this paper, the authors consider the case where the supplier of an exhaustible resource is the government of a country, and the supply policy will be based on the country's requirements of foreign exchange, and other essentials of development planning, and not necessarily on profit maximization.

TL;DR: In this paper, a large plant nursery routinely dispatches a truck to pick up plants required to fill orders, and the plants are found in various beds throughout 600 acres, and a mathematical model is developed, and solution procedures are discussed.