Showing papers in "Mathematical and Computer Modelling in 1994"

TL;DR: In this article, the second law of thermodynamics has been extended to nonequilibrium regions, where the evolution of a system is described in terms of gradients maintaining the system at some distance away from equilibrium.

TL;DR: This paper shows how the introduction of new primitive constraints over finite domains in the constraint logic programming system CHIP result in finding very rapidly good solutions for a large class of difficult sequencing, scheduling, geometrical placement and vehicle routing problems.

TL;DR: In this paper, the authors give a proof of Adomian's method using only some properties of the nonlinear function, and apply these results to some concrete problems, such as the problem of finding a nonlinear solution to a set of nonlinear problems.

TL;DR: It is demonstrated, through theory and examples, how it is possible to construct directly and noniteratively a feedforward neural network to approximate arbitrary linear ordinary differential equations.

TL;DR: It is demonstrated, through theory and numerical examples, how it is possible to directly construct a feedforward neural network to approximate nonlinear ordinary differential equations without the need for training.

TL;DR: These techniques are applied to the problem of scheduling jobs on unrelated parallel machines to minimize the maximum completion time and a hybrid method in which descent is incorporated into the genetic algorithm is comparable in performance with simulated annealing and taboo search.

TL;DR: Homeodynamics predicts quasi-periodicity or asymptotic orbital stability as the manifestations of stability of developing and evolving systems, and it attempts to reconcile the conflict between an informational and a dynamical view of complexity.

TL;DR: A general theory is proposed based on the modelling of cellular interactions in a framework similar to the one of nonlinear statistical mechanics in order to validate the proposed theory of tumor progression despite an active immune defense system.

TL;DR: In this paper, a mathematical model for the formation of arterial narrowing caused by atheroma is presented, where the artery is simulated as an elastic (moving wall) cylindrical tube containing a viscoelastic fluid representing blood and the equations governing the motion of the system are sought in the Laplace transform space.

TL;DR: In this paper, the problem of scheduling n jobs on m parallel machines to minimize the sum of job completion times, under the assumption that some of the machines are available only for prespecified, limited, machine-dependent time intervals, was studied.

TL;DR: A theoretical framework and a model for simulating hiker behavior in a natural environment using intelligent agents, discrete event simulation (DEVS) and GIS data is described.

TL;DR: In this article, the authors show that the Moore-Hodgson algorithm can be adapted to solve three other special cases of the general scheduling problem, each of which can be formulated as a knapsack-like problem with nested inequality constraints.

TL;DR: In this paper, the effect of the linear operator L, used in the Adomian's method for solving nonlinear partial differential equations, on the convergence of Fisher's equation was studied.

TL;DR: In this paper, the convergence properties of radial basis functions (RBF) for two-dimensional boundary element interpolation are examined numerically and the interpolation error is quantified for a particular test function and the local behavior of the RBF is illustrated.

TL;DR: It is shown that even the unit weight case is NP-complete for parallel machines, provide a dynamic programming algorithm for the two machine case as well as a heuristic with absolute error bound and its error bound are extended to the general case.

TL;DR: It is shown that maximizing throughput in a flexible assembly line is NP-hard, and in the process, a polynomial transformation of generic makespan minimization problems in static scheduling to cycle time minimization in cyclic scheduling problems is given.

TL;DR: This paper addresses two problems on the abuse of the 80/20 phenomenon by conducting mathematical modelling and computer simulations of the Pareto principle and identifies several significant factors influencing the phenomenon.

TL;DR: A new approach to model flexible manufacturing systems is generalizes, by means of a number theoretic concept, vehicle schedules that are collision-free for any cycle sequence and solves an open problem in processor scheduling.

TL;DR: In this paper, a competing system in which one of two species can diffuse between two patches, while the other is confined to one patch and cannot diffuse, is considered, and it is proved that the system can be made persistent under some appropriate conditions even if the competitive patch is not persistent without diffusion.

TL;DR: The proposed neural network approach is shown to be a viable method for multicriteria order acceptance decision support in over-demanded job shops.

TL;DR: In this article, the authors describe a method for design of optimal finite-difference stencils for wave propagation problems using an intrinsically explicit Galerkin-wavelet formulation.

TL;DR: In this paper, the authors introduced the notions of the metric d-tensor field, the canonical nonlinear connection and a metrical d-connection on the cotangent bundle T^*M of a finite-dimensional manifold M equipped with a regular Hamiltonian.

TL;DR: The objective is to provide a mathematical description and characterization of the notion of spray control, which will be introduced and applied to linear distributed systems by solving quadratic equations in Hilbert spaces.

TL;DR: The available methodologies for object-oriented modelling are promising for ecological projects, but the present lack of integrated tools covering analysis, design, and programming prevents their straightforward adoption.

TL;DR: The problem of scheduling on a two-machine ordered flowshop, where machines suffer random breakdowns, is addressed with respect to the individual objectives of makespan and mean flowtime.

TL;DR: This paper presents an implementation of an Object Oriented Modelling simulation of the “fishing-up process,” comparing various object interaction hypotheses and discusses the problem of validation and the advantages of Object Orients Modelling for the management of natural resources.

TL;DR: The gracefulness of a large class of lobster trees is proven in this article, which is related to Bermond's conjecture on the graceness of that class of trees, which is also related to the conjecture on a class of large lobster trees.

TL;DR: In this article, the existence and propagation of approximate travelling waves of generalized KPP equations with seasonal multiplicative white noise perturbations of Ito type was studied and three regimes of perturbation were considered: weak, mild, and strong.

TL;DR: The work concerning a dynamical adaptive finite volume method for the numerical computation of inviscid compressible flow in the plane is summarized and the refinement indicator used in unsteady and steady flow is described.

TL;DR: A WR algorithm is introduced for the simulation of generalized high-index DAE systems and solvability requirements and convergence theorems for varying index Dae systems for WR simulation are established.