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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Industrial and engineering chemistry 15 (1976), S. 148-148 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1572-8838
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Electrical Engineering, Measurement and Control Technology
    Notes: Abstract A circulating suspended particle-electrode was applied to the electrochemical hydrodimerization of acrylonitrile in order to examine the possibility of scaling up the cell capacity. Total current on a feeder electrode was increased remarkably by an addition of lead particles and the current was proportional to the quantity of lead particles added. Total current was also increased with the increase of circulating speed. The current increased with electrolysis time because the surface oxide was gradually reduced with continuing electrolysis. Contact resistance between a suspended particle and a feeder electrode was not as large as in the Kolbe synthesis on a particulated electrode, and electron transfer between the particle and the feeder electrode at their collision was fast compared with charge transfer on the particle electrode. Current efficiency for adiponitrile formation was less on the suspended electrode than on a plane electrode. However, the rate of adiponitrile formation was markedly increased by the use of the suspended electrode.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 25 (1978), S. 181-193 
    ISSN: 1573-2878
    Keywords: Decomposition techniques ; generalized Lagrangian ; large system optimization ; method of multipliers
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Although the method of multipliers can resolve the dual gaps which will often appear between the true optimum point and the saddle point of the Lagrangian in large system optimization using the Lagrangian approach, it is impossible to decompose the generalized Lagrangian in a straightforward manner because of its quadratic character. A technique using the linear approximation of the perturbed generalized Lagrangian has recently been proposed by Stephanopoulos and Westerberg for the decomposition. In this paper, another attractive decomposition technique which transforms the nonseparable crossproduct terms into the minimum of sum of separable terms is proposed. The computational efforts required for large system optimization can be much reduced by adopting the latter technique in place of the former, as illustrated by application of these two techniques to an optimization problem of a chemical reactor system.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 24 (1978), S. 437-448 
    ISSN: 1573-2878
    Keywords: Decomposition techniques ; generalized Lagrangian ; large-systems optimization ; method of multipliers
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract An infeasible method of large-system optimization is proposed. The dual gap is resolved by use of the generalized Lagrangian as in the previous methods due to Stephanopouloset al. and Watanabeet al. The values of subsystem inputs are, however, coordinated in the second level, instead of being adjusted in the first level, as in previous methods. As a result, in contrast with previous methods, the subproblems in the first level include a small number of variables to be adjusted; in addition, the generalized Lagrangian is decomposable in a simple manner. Further, the decomposition is not subject to any restriction, which is often encountered in feasible methods.
    Type of Medium: Electronic Resource
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