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2 x n or m x 2 interval matrix games are considered, and a graphical method for solving such games is given. Intervalmatrix game is the interval generation of classicalmatrix games. Because of uncertainty in real-world applications, payoffs of a matrix game may not be a fixed number. Since the payoffs may vary within a range for fixed strategies, an interval-valued matrix can be used to model such uncertainties. In the literature, there are different approaches for the comparison of fuzzy numbers and interval numbers. In this work, the idea of acceptability index is used which is suggested by Sengupta et al.2001 and Sengupta and Pal2009, and in view of acceptability index, well-known graphical method for matrix games is adapted to interval matrix games. [ABSTRACT FROM AUTHOR]

A graphical method is presented for assessing the state of identifiability of the parameters in a linear structural equation model based on the associated directed graph. We do not restrict attention to recursive models. In the recent literature, methods based on graphical models have been presented as a useful tool for assessing the state of identifiability of the parameters of the model. This article proposes the graphical counterpart of the rank condition of the matrix of structural coefficients, which allows for checking of the identifiability through a simple graphical rule. This approach can be used to develop algorithms. [ABSTRACT FROM AUTHOR]

Abstract: In this paper, a simple algorithm is developed for the design and economic optimization of multiple-pass 1–2 shell-and-tube heat exchangers in series. The design model is formulated using the F T design method and inequality constraints that ensure feasible and practical heat exchangers. Simple expressions are obtained for the minimum real (non-integer) number of 1–2 shells in series. A graphical method is also presented to develop some insight into the nature of the optimization problem. The proposed algorithm enables engineers to design optimum multipass heat exchangers quickly and easily. It is also shown how the method can be applied for optimal design of multipass process utility exchangers. [Copyright &y& Elsevier]

Abstract: We revisit from a modern viewpoint a graphical method of resolution of the Young–Laplace equation proposed by Thomson in 1886 and improved by Boys in 1893. This method, relying on some axisymmetry properties, was applied to the case of pendant drops, drops on a horizontal plane and meniscii. The several initials conditions necessitated a numerical implementation of the Thomson''s algorithm, particularly in order to obtain pendant drops with multiple bulges. A scaling law for the variation of the drops radii forming this rosary (string of drops) is presented. To cite this article: M. Gentes et al., C. R. Physique 6 (2005). [Copyright &y& Elsevier]

Standard Wald confidence regions for parameters in a normal nonlinear regression model often fail to capture accurately the uncertainty of estimation as reflected by the corresponding profile log-likelihood. We present a graphical method, along with a stable computational algorithm, for reference on scalar parameters in a nonlinear regression model. [ABSTRACT FROM AUTHOR]