The trust region method is one of the important and effective ways to solve optimization
problems due to its robust and accuracy in its convergence. One of its disadvantages is that …

Consider a complex network whose components either work or fail, there probabilities are
known. Our paper study two methods for the exact computation of the reliability network, the …

Conjugate gradient methods more used in the field of unconstrained optimization,
particularly large scale problems, Armijo condition one of the simple rule are commonly …

To find the reliability of any complex network, we need to convert it into a simple network to
facilitate the process of reliability calculation. In this paper we simplify a complex network …

In this article, we will look at the importance of each unit in a mixed system and attempt to
estimate the impact of their effect on the system's overall performance depending on their …

The major aim of this paper is to find a solution for systems of non-linear equations, a new
method is suggested by combining the trust region method (TRM) with BFGS technique …

Open Access proceedings Journal of Physics: Conference series Page 1 Journal of Physics:
Conference Series PAPER • OPEN ACCESS Use of ARINC Approach method to evaluate the …

Counting data (including zero counts) appear in a variety of applications, so counting
models have become popular in many fields. In statistical fields, count data can be defined …

The allocation of reliability and optimization for each part of the complex system has been
determined in this paper, in order to solve the problem of allocation and to improve network …

In this paper, we shall describe the reliability function R (t) as probability that the system will
not malfunction within a given interval of execution times for maintained systems. Although …