26 research outputs found

    Relaxierte Depotprobleme mit Phasenbeschraenkungen

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    Available from TIB Hannover: RR 7760(1998-13) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman

    Optimal control problems with a first-order PDE system - necessary and sufficient optimality conditions

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    SIGLEAvailable from TIB Hannover: RR 7760(2001,16) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

    The direct solution of nonconvex nonlinear FIR filter design problems by a SIP method

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    FIR filter design problems in the frequency domain are nonlinear (semi-infinite) optimization problems. In practice these almost always have been solved in a simplified form and/or only under restricting assumptions. In this paper, the four main design approximation problems in the frequency domain are stated in general forms, which allow the inclusion of constraints and the choice of an arbitrary L"p - resp. l"p-norm, 1lep#<=##infinity#, for the approximation. The careful mathematical formulation of these problems enables the derivation of several theoretical results (given in another paper), and it empowers the application of optimization procedures to their direct solution. Then, for the actual solution of these problems, a novel method for nonlinear semi-infinite programming is introduced and applied to several specific design problems. For some examples, the computed solution of the nonlinear problem is compared with a solution obtained form a convex approximation of the problem. (orig.)SIGLEAvailable from TIB Hannover: RR 7760(1999,4) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

    Prozessoptimierung in der Verpackungsindustrie der Energiewirtschaft

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    The production of brown coal briquette bundles in a completely automated production plant imposes strict quality requirements on the pressing of the briquettes. Thus, the packaging of bundles which consist of several layers of briquettes requires that each layer has approximately the same length. As the pressing of briquettes with exactly predefined measurements cannot be mastered technically, a part of the production that does not meet the minimum requirements must be picked out with a suitable quality surveillance procedure. The quality surveillance procedure used in production can be described mathematically and is subject to an in-depth analysis. It can be verified that, besides the search for the optimal choice of single parameters, it is essential for this particular application that the performance of a quality surveillance procedure does not depend on the dynamic behavior of the factors of production. The result is based on mathematical modeling, optimization, and simulation by a computer-based model and led to a considerable increase in production output. (orig.)SIGLEAvailable from TIB Hannover: RR 7760(1999,8) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

    Piecewise continuous controls in Dieudonne-Rashevsky type problems

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    SIGLEAvailable from TIB Hannover: RR 7760(2002,5) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

    Minimizing sequences in class-qualified deposit problems

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    SIGLEAvailable from TIB Hannover: RR 7760(2001,7) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

    Process optimization in the packaging industry of the energy industry: optimization of weight limits

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    The production of brown coal briquette bundles in a completely automated production plant imposes strict quality requirements on the pressing of the briquettes. Thus the packaging of bundles which consist of several layers of briquettes requires that each layer has approximately the same length. As the pressing of briquettes with exactly predefined measurements can't be meastered technically, a part of the production must be picked out with a suitable quality surveillance procedure. The quality surveillance procedure that was used in production could mathematically be described exactly and was subject to an in depth analysis. It could be verified that besides the question for the optimal choice of single parameters, for that very special practical application it is essential that the performance of a quality surveillance procedure does not depend on the dynamic behaviour of the factors of production. The output of the factory could be increased considerably by eliminating these problems and optimizing the production plant. Besides the mathematical modeling this result was based on the optimization and simulation by a computer-based model. (orig.)Available from TIB Hannover: RR 7760(1998,10) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman

    Optimization of quality checks in a fully automated production process

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    The fabrication of many industrial products includes a packing process. In such processes, a number of criteria must be met; a minimal package weight must be guaranteed according to legal standards for example. We present here a packing method in brown coal industry to demonstrate the necessity of an in-depth mathematical analysis of control algorithms and static quality parameters. Without such investigations these parameters are often chosen far from optimal, with the result of low production output. The production process of brown coal briquet bundles consists of several quality controls, including weight control. The aim of the latter is to arrange a bundle consisting of five layers with varying weights g_1,..., g_5, each of them containing 9 coal briquets, such that the overall weight g_1+...+g_5 is more than 25 kg. The production of coal briquets is controlled by a well performing controller. The weight g of a coal briquet layer is the realization of a random function G. To simplify further considerations we assume the weights to be gaussian distributed, that is G#propor to#N(#mu#, #sigma#"2). Unfortunately, expectation value #mu# and standard deviation #sigma# are perturbed by an unknown stochastic process. Because of these disturbances it is necessary to develop dynamic (which means on-line-decision) quality-control-algorithms (QCA) in order to minimize loss of production. The objective function of the optimization problem is highly nonlinear. We show that for the existing QCA this function (maximizing the production output) is nondifferentiable for most of its admissible parameter settings. As a consequence most classical optimization methods will either give a poor performance or they are to inflexible to manage changes in #mu# and #sigma#. To overcome these difficulties we suggest to choose self-adapting optimization methods. We compare evolutionary strategies and neural nets in order to develop an algorithm that performs well and solves the problem of on-line optimization. Impressing improvements of the production output are reached by the proposed algorithms. (orig.)SIGLEAvailable from TIB Hannover: RR 7760(1997,8) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman
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