Production and financial investment planning is the arrangements for the quantity of products and the investment in financial products of a firm. This paper develops a new two-stage fuzzy optimization method for production and financial investment planning problem, in which the exchange rate is uncertain and characterized by possibility distribution. The objective of the problem is to maximize ...

The study of the positive invariance and contractivity properties of polyhedral sets with respect to (w.r.t) linear systems subject to control saturation is addressed. The analysis of the nonlinear behavior of the closed-loop saturated system is made by dividing the state space in regions of saturation. In each one of these regions, the system evolution can be represented by the that of a linea...

So far, we have seen many algorithms based on linear program (LP) relaxations, typically involving rounding a given fractional LP solution to an integral solution of approximately the same objective value. In this lecture, we will look at another approach to LP relaxations, in which we will construct a feasible integral solution to the LP from scratch, using a related LP to guide our decisions....

This article concerns the question: which subsets of R can be represented with Linear Matrix Inequalities, LMIs? This gives some perspective on the scope and limitations of one of the most powerful techniques commonly used in control theory. Also before having much hope of representing engineering problems as LMIs by automatic methods one needs a good idea of which problems can and cannot be re...

Uncertainties in structural parameters and in the excitation, and consequently in the response, obviously affect the structural reliability considerably. In this work, recent developments in the reliability analysis for the treatment of uncertain linear structures subjected to dynamic loading are presented. Although any reliability problem could be solved in principle by Direct Monte Carlo simu...

Trivium, designed by De Cannière and Preneel, is one of the focus ciphers of Phase II for the eSTREAM project. In this paper, we model the initialization part of Trivium as an 8-round function where each round consists of 144 Trivium clocks, and analyze the security margin in terms of number of rounds. This is an open question. Nevertheless, we give some partial answers. As one example, we appl...

Fuzzy set theory is a useful tool to describe situations in which the data are imprecise or vague. Fuzzy sets handle such situation by attributing a degree to which a certain object belongs to a set. The idea of fuzzy norm was initiated by Katsaras in [1984]. Felbin [1992] defined a fuzzy norm on a linear space whose associated fuzzy metric is of Kaleva and Seikkala type [1984]. Cheng and Morde...

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