This paper describes a mathematical model used to support an in-depth simulation study that investigated a variety of sectoring methodologies intended to increase simulation efficiency in the case of autonomous moving objects in 3D space. The potential physical systems that could be represented...

The method of probability-weighted moments is used to derive estimators of parameters and quantiles of the three-parameter Weibull distribution. The properties of these estimators are studied. The results obtained are compared with those obtained by using the method of maximum likelihood. The...

Fractals are objects which have a similar appearance when viewed at different scales. Such objects have detail at arbitrarily small scales, making them too complex to be represented by Euclidean space. They are assigned a dimension which is non-integer. Some natural phenomena have been modelled...

We propose a simple method of constructing quasi-likelihood functions for dependent data based on conditional-mean–variance relationships, and apply the method to estimating the fractal dimension from box-counting data. Simulation studies were carried out to compare this method with the...

We attempt to analyze empirically how and when industrial transformation took place in the Japanese machine tool industry. For estimation, the following variables are selected: (a) automobile production; (b) exports; (c) investment; and (d) GDP. Dummy variables are used to indicate the time when...

A theoretical model of binary alloy melting and solidification induced by pulsed-laser irradiation is formulated using the mass and internal energy balances in the liquid and solid phases. The interface between the solid and liquid phases is modeled as a discontinuity surface where the mass and...

The daily closing values of the S&P 500 Index from January 1, 1926 through June 11, 1993, a total of 17,610 values, were entered into Mathematica, and the day-to-day percent changes were calculated. Using the Standard Mathematica Package Statistics ‵ContinuousDistributions‵ and the built-in...

We discuss numerical solution of a system of nonlinear ordinary differential equations with a time-varying delay. This system describes the mutual influence between mass bodies in the case of a finite speed of the gravitational interaction. We show that this fact has to be taken into account in...

In our work on modelling of phase change, fluid flow and heat transfer in materials processes, it is crucial to have complete control of the mathematical models, and the numerical simulation of the models. We have developed a toolbox in Maple which can be used to generate complete finite element...

We investigate simplified models of computer data networks and examine how the introduction of additional random links influences the performance of these networks. In general, the impact of additional random links on the performance of the network strongly depends on the routing algorithm used...