The index is excellent by the Malmquist index as extended to productivity measurement. The index developed here is defined in terms of input cost rather than input quantity distance functions in supply chain. Therefore, we propose productivity change is decomposed into overall efficiency and cost technical change. These decompositions provide a clearer situation of the root sources of supply ch...

Mathematical concepts of multivariate parametric solids, their description by a B-spline basis functions are discussed. Parametric solids can model both the shape and unisotropic interior. Three types of parametric solids i.e. Coons body 0, 1 and 2 are used to demonstrate the interior modelling often used as initial or boundary conditions in numerical simulation. Multiple parametric solids elem...

This article examines a new approach which solves Linear Programming (LP) problems with stochastic parameters as a generalized model of the fuzzy mathematical model analyzed by Verdegay. An expectation model is provided for solving the problem. A multi-parametric programming is applied to access to a solution with different desired degrees as well as problem constraints. Additionally, we presen...

This article discusses the mathematical concepts of multivariate parametric solids and their description by B-spline basis functions. Parametric solids can model both the shape and unisotropic interior. Three types of parametric solids, Coons body of types 0, 1, and 2, are used to demonstrate the interior modelling often used as initial or boundary conditions in numerical simulation. Multiple p...

We de®ne the base polytope B…P ; g† of a partially ordered set P and a supermodular function g on the ideals of P as the convex hull of the incidence vectors of all linear extensions of P . This new class of polytopes contains, among others, the base polytopes of supermodular systems and permutahedra as special cases. After introducing the notion of compatibility for g, we give a complete linea...

In this paper, parametric technology display and a mathematical model of technology spillover as a different approach based on the technology changes would be discussed. The recently action that will be accomplished through formation matrices of technological changes, measure of technology spillover and other concepts along with a variety of matrices types. Several examples are given and the re...

This paper describes the PSAT-GAMS interface to solve a variety of optimization models. The Power System Analysis Toolbox (PSAT) is an open source Matlab-based software package for analysis and design of small to medium size electric power systems. While the General Algebraic Modeling System (GAMS) is a high-level modeling system for mathematical programing problems. It consists of a language c...

This paper describes a discrete linear model for the course-changing manoeuvres of a ship. A non-linear mathematical model of three degrees of freedom is used. The linear model has been obtained from a parametric model. The coefficients are obtained by means of identification. In order to validate the linear model, a comparison has been made of the responses of the non-linear model and the iden...

We present a mathematical model for the dynamics of an electrostatically actuated microcantilever. For the common case of cantilevers excited by a periodic voltage, we show that the underlying linearized dynamics are those of a periodic system described by a Mathieu equation. We present experimental results that confirm the validity of the model, and in particular, illustrate that parametric re...

We argue that multilingual parallel data provides a valuable source of indirect supervision for induction of shallow semantic representations. Specifically, we consider unsupervised induction of semantic roles from sentences annotated with automatically-predicted syntactic dependency representations and use a stateof-the-art generative Bayesian non-parametric model. At inference time, instead o...