stochastic approach to vehicle routing problem: development and theories abstract in this article, a chance constrained (ccp) formulation of the vehicle routing problem (vrp) is proposed. the reality is that once we convert some special form of probabilistic constraint into their equivalent deterministic form then a nonlinear constraint generates. knowing that reliable computer software for lar...

finding a suitable estimation of stability domain around stable equilibrium points is an important issue in the study of nonlinear dynamical systems. this paper intends to apply a set of analytical-numerical methods to estimate the region of attraction for autonomous nonlinear systems. in mechanical and structural engineering, autonomous systems could be found in large deformation problems or c...

‎in this paper‎, ‎we obtain exact solutions involving parameters of some nonlinear pdes in mathmatical physics; namely the one-‎dimensional modified complex ginzburg-landau equation by using the $ (g^{'}/g) $ expansion method‎, homogeneous balance method, extended f-expansion method‎. ‎by ‎using homogeneous balance principle and the extended f-expansion, more periodic wave solutions expres...

Supersonic vehicles are subject not only to aerodynamic heating, but also different acoustics, one of which is aeroacoustic induced by pressure fluctuation high speed flow. The state-of-art structure sonic fatigue analysis conducted using uniformly distributed random White Gaussian Noise (WGN). However, excitation usually consistent with the actual situation, and validity method needs further i...

In this paper, we introduce nonlinear large-signal scattering ( [Formula: see text]) parameters, a new type of frequency-domain mapping that relates incident and reflected signals. We present a general form of nonlinear large-signal [Formula: see text]-parameters and show that they reduce to classic [Formula: see text]-parameters in the absence of nonlinearities. Nonlinear large-signal impedanc...

In this paper operational matrix of Bernstein Polynomials (BPs) is used to solve Bratu equation. This nonlinear equation appears in the particular elecotrospun nanofibers fabrication process framework. Elecotrospun organic nanofibers have been used for a large variety of filtration applications such as in non-woven and filtration industries. By using operational matrix of fractional integration...

We establish a large deviation principle for the solutions of stochastic partial differential equations for nonlinear vibration of elastic panels (also called stochastic nonlinear beam equations).

As a statistical measure of large-scale structure of the universe, the genus number is presented in analytic form for realistic non-Gaussian distributions, i.e., weakly non-Gaussian, lognormal and chi-square distributions. These formulae are compared with the results of N-body simulation. It is shown that the weakly non-Gaussian formula describes the behavior of genus in weakly nonlinear regime...

Circuit tuning is an important task in the design of custom digital integrated circuits such as high-performance microprocessors. The goal is to improve certain aspects of the circuit, such as speed, area, or power, by optimally choosing the sizes of the transistors. This task can be formulated as a large-scale nonlinear, nonconvex optimization problem, where function values and derivatives are...