The mathematical interpretation of an electric arc is practically very difficult by virtue of its extremely accidental character. But on the other side, the mathematical formulation course of the electric arc is possible with transfer to the area of the mathematical modeling for specific conditions. Limits of influences of the electric arc are possible to determine with using results from mathe...

The analysis of viscoelastic materials is one of the most important subjects in engineering structures. Several works have been so far made for the integral equation methods to viscoelastic problems. From the basic assumptions of viscoelastic constitutive equations and weighted residual techniques, a simple but effective Boundary Element (BE) formulation is developed for the Kelvin viscoelastic...

This novelty in Mathematical Modelling is represented by the so-called “Emerging Solutions”, which are radically different from solutions to traditional mathematical problems. This is because any traditional solution to an algebraic or differential problem is always represented by a formal expression that, when reintroduced into the initial formulation of the problem, reduces the latter to a pe...

this paper investigates the problem of selecting and scheduling a set of projects among available projects. each project consists of several tasks and to perform each one some resource is required. the objective is to maximize total benefit. the paper constructs a mathematical formulation in form of mixed integer linear programming model. three effective metaheuristics in form of the imperialis...

Predicting the obsolescence risk of components is an important challenge in system life-cycle management to improve its durability. The degree measures occurrence risk. Thus, it expresses probability that entity will become obsolete within a given time horizon. Some mathematical techniques have already been proposed deal with this problem. Recent studies also shown machine learning methods can ...