Method and apparatus for optimizing system operational parameter

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399221, G06F 1520

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048947733

ABSTRACT:
Method and apparatus for optimizing the operational state of a system employing iterative steps that approximately follow a projective scaling trajectory or an affine scaling trajectory, or curve, in computing from its present state, x.sub.0 to a next state x.sub.1 toward the optimum state. The movement is made in a transformed space where the present (transformed) state of the system is at the center of the space, and the curve approximation is in the form of a power series in the step size. The process thus develops a sequence of tentative states x.sub.1, x.sub.2, x.sub.n . . . . It halts when a selected suitable stopping criterion is satisfied, and assigns the most recent tentative state as the optimized operating state of the system.

REFERENCES:
patent: 4744027 (1988-05-01), Bayer et al.
patent: 4744028 (1988-05-01), Karmarkar
Frederick S. Hillier, "Introduction to Operations Research", 1967, pp. 91-110.
G. R. Ash, "Design and Optimization of Networks with Dynamic Routing", 1981, pp. 1787-1819.
Linear Programming and Extensions, G. B. Danzig, 1963, Princeton University Press, Princeton, New Jersey, pp. 156-166.

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