ABOULAICH , Rajae

This paper is devoted to the minimization of the thickness of an elastic structure under competitive loadings. We propose to determine an equilibrium thickness using game theory. We consider two loads exercised separately on two parts of the plate and we aim to optimize both compliances so we deal with a multiloading optimization problem....

In the present paper, a general multiobjective optimization problem is stated as a Nash game. In the nonrestrictive case of two objectives, we address the problem of the splitting of the design variable between the two players. The so-called territory splitting problem is solved by means of an allocative approach. We propose two algorithms in...

We are interested here, in multi-criteria optimization problem using game theory. This problem will be treated by using a new algorithm for the splitting of territory in case of concurrent optimization, which presents a new formulation of Nash games between two players using two tables of allocations. Each player minimizes his cost function...

In this work, we are interested in the numerical solution of a nonlinear partial differential equation modeling the displacement of a pile in a multi-layer ground. In the first part, the module of the ground is assumed to be constant by layer and the considered model is linear. The computation of the analytical solution requires the calculation...

We propose a game theory approach to simultaneously restore and segment noisy images. We define two players: one is restoration, with the image intensity as strategy, and the other is segmentation with contours as strategy. Cost functions are the classical relevant ones for restoration and segmentation, respectively. The two players play a...

The fractional ow reserve (FFR) provides an efficient quantitative assessment of the severity of a coronary lesion. Our aim is to address the problem of computing non-invasive virtual fractional ow reserve (VFFR). In this paper, we present a preliminary study of the main features of ow over a stenosed coronary arterial portion, in order to...

Fractional flow reserve (FFR) has proved its efficiency in improving patients diagnosis. In this paper, we consider a 2D reconstructed left coronary tree with two artificial lesions of different degrees. We use a generalized fluid model with a Carreau law and implement the Windkessel boundary conditions at the outlets. We introduce our...

In this paper, two different approaches for tumor growth modeling are presented andimplemented. In the first part of the paper, a macroscopic approach using a PDE model,where the tumor is viewed as a cell mass, is implemented using the level-set method totrack the tumor moving boundary in one hand by using Darcy's law to compute the...

The purpose of this work is to present a model for portfolio multi-optimization, in which distributions are compared on the basis of tow statistics: the expected value and the Conditional Value-at-Risk (CVaR), to solve such a problem many authors have developed several algorithms, in this work we propose to find the efficient boundary by using...

Prostate cancer is a hormone-dependent cancer characterized by two types of cancer cells, androgen-dependent cancer cells and androgen-resistant ones. The objective of this paper is to present a novel mathematical model for the treatment of prostate cancer under combined hormone therapy and brachytherapy. Using a system of partial differential...

In the present paper, a new formulation of Nash games is proposed for solving general multi-objective optimization problems. The main idea of this approach is to split the optimization variables which allow us to determine numerically the strategies between two players. The first player minimizes his cost function using the variables of the...