Deterministic chaos in a model of discrete manufacturing

Deterministic Chaos in a Model of Discrete Manufacturing

A natural extension of the bucket brigade model of manufacturing is capable of chaotic behavior in which the product intercompletion times are, in effect, random, even though the model is completely deterministic. This is, we believe, the first proven instance of chaos in discrete manufacturing. Chaotic behavior represents a new challenge to the traditional tools of engineering management to re...

Deterministic and random synthesis of discrete chaos

In this paper, two anticontrol algorithms for synthesis of discrete chaos are introduced. In these algorithms, the control parameter of a discrete dynamical system is switched, either randomly or in a deterministic way, between two or more values corresponding to periodic motions, the result being chaotic behavior. These algorithms require no knowledge of specific mathematical properties of the...

Chaos in a Discrete Delay Population Model

Convergence, Oscillations, and Chaos in a Discrete Model of Combat

A piecewise smooth mapping of the three-dimensional Euclidean space is derived from a discrete-time model of combat. The mathematical analysis of this mapping focuses on the effects of discontinuity caused by the defender’s withdrawal strategy—a prime component of the original model. Both the asymptotics and the transient behavior are discussed, and all the behavior types noted in the title are...

A Random Boolean Network Model and Deterministic Chaos

This paper considers a simple Boolean network with N nodes, each node’s state at time t being determined by a certain number of parent nodes, which may vary from one node to another. This is an extension of a model studied by Andrecut and Ali ( [5]) who consider the same number of parents for all nodes. We make use of the same Boolean rule as the authors of [5], provide a generalization of the ...