 In this paper, we focus on the behavior of a queue in a pull serial line at a throughput process under correlated demands. In order to compute the performance measures of the throughput process, we propose a numeric model and an algorithm which is an extension of the matrix geometric analysis method. By constructing a recursive procedure for calculating the joint distribution of an arbitrary ...

In this paper, we study the 66 Cartesian stiiness matrix. We show that the stiiness of a rigid body subjected to conservative forces and moments is described by a (0; 2) tensor which is the Hessian of the potential function. The key observation of the paper is that since the Hessian depends on the choice of an aane connection in the task space, so will the Carte-sian stiiness matrix. Further, t...

We investigate the sensitivity of the problem of Non-Orthogonal (matrix) Joint Diagonalization (NOJD). First, we consider the uniqueness conditions for the problem of Exact Joint Diagonalization (EJD), which is closely related to the issue of uniqueness in tensor decompositions. As a by-product, we derive the well-known identifiability conditions for Independent Component Analysis (ICA), based ...

In this paper, we introduce a family of fractional-order Chebyshev functions based on the classical Chebyshev polynomials. We calculate and derive the operational matrix of derivative of fractional order $gamma$ in the Caputo sense using the fractional-order Chebyshev functions. This matrix yields to low computational cost of numerical solution of fractional order differential equations to the ...