Managing operations of a system using non-linear modeling techniques
First Claim
1. A computer-implemented method for managing operations of a system, the method comprising:
- deriving a nonlinear modeling function from a nonlinear response function, wherein the nonlinear modeling function models an affinity between multiple variables, wherein the multiple variables define one or more characteristics of the operations of the system, and wherein the nonlinear modeling function approximates one or more operations of the system;
defining an allowed range for output values of the nonlinear modeling function;
determining a range of a first set of input values of the nonlinear modeling function based on the allowed range of the output values, wherein a boundary of the range of the first set of input values is an optimal input value, wherein the optimal input value can be processed through the nonlinear modeling function to produce an optimal output value;
deriving a nonlinear probability function from the nonlinear response function;
receiving the first set of input values;
calculating the output values by processing each input value in the first set of input values through the nonlinear modeling function;
determining, using the probability function, a relative probability of performing a first future system operation for each input value of the first set of input values, wherein, for each input value of the first set of input values, the relative probability shows a probability of performing the first future system operation for the corresponding input value relative to a probability of performing the first future system operation for the optimal input value; and
displaying, for each input value in the first set of input values, the corresponding output value and the corresponding probability.
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Abstract
A computer-implemented method for managing operations of a system includes deriving a nonlinear modeling function from a nonlinear response function, defining an allowed range for output values of the nonlinear modeling function, determining a range of a first set of input values of the nonlinear modeling function based on the allowed range of the output values, deriving a nonlinear probability function from the nonlinear response function, receiving the first set of input values, calculating the output values by processing each input value in the first set of input values through the nonlinear modeling function, determining, using the probability function, a relative probability of performing a first future system operation for each input value of the first set of input values and displaying, for each input value in the first set of input values, the corresponding output value and the corresponding probability.
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Citations
20 Claims
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1. A computer-implemented method for managing operations of a system, the method comprising:
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deriving a nonlinear modeling function from a nonlinear response function, wherein the nonlinear modeling function models an affinity between multiple variables, wherein the multiple variables define one or more characteristics of the operations of the system, and wherein the nonlinear modeling function approximates one or more operations of the system; defining an allowed range for output values of the nonlinear modeling function; determining a range of a first set of input values of the nonlinear modeling function based on the allowed range of the output values, wherein a boundary of the range of the first set of input values is an optimal input value, wherein the optimal input value can be processed through the nonlinear modeling function to produce an optimal output value; deriving a nonlinear probability function from the nonlinear response function; receiving the first set of input values; calculating the output values by processing each input value in the first set of input values through the nonlinear modeling function; determining, using the probability function, a relative probability of performing a first future system operation for each input value of the first set of input values, wherein, for each input value of the first set of input values, the relative probability shows a probability of performing the first future system operation for the corresponding input value relative to a probability of performing the first future system operation for the optimal input value; and displaying, for each input value in the first set of input values, the corresponding output value and the corresponding probability. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13)
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14. A computer system for managing the operations of a system, the computer system comprising:
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a database configured to store a historical data set; a processor; and a graphical user interface; wherein the processor is configured to execute instructions that cause the computer system to perform the following operations; derive a nonlinear modeling function from a nonlinear response function, wherein the nonlinear modeling function models an affinity between multiple variables, wherein the multiple variables define one or more characteristics of the operations of the system, and wherein the nonlinear modeling function approximates one or more operations of the system; define an allowed range for output values of the nonlinear modeling function; determine a range of a first set of input values of the nonlinear modeling function based on the allowed range of the output values, wherein a boundary of the range of the first set of input values is an optimal input value, wherein the optimal input value can be processed through the nonlinear modeling function to produce an optimal output value; derive a nonlinear probability function from the nonlinear response function; receive the first set of input values; calculate the output values by processing each input value in the first set of input values through the nonlinear modeling function, wherein the nonlinear modeling function approximates one or more operations of the system; and determine, using the probability function, a relative probability of performing a first future system operation for each input value of the first set of input values, wherein, for each input value of the first set of input values, the relative probability shows a probability of performing the first future system operation for the corresponding input value relative to a probability of performing the first future system operation for the optimal input value; wherein the graphical user interface is configured to display, for each input value in the first set of input values, the corresponding output value and the corresponding probability. - View Dependent Claims (15, 16, 17, 18, 19)
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20. A computer program product comprising computer-readable instructions embodied on a non-transitory computer-readable medium, which, when loaded and executed on a computer system, cause the computer system to perform the following operations:
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derive a nonlinear modeling function from a nonlinear response function, wherein the nonlinear modeling function models an affinity between multiple variables, wherein the multiple variables define one or more characteristics of the operations of the system, and wherein the nonlinear modeling function approximates one or more operations of the system; define an allowed range for output values of the nonlinear modeling function; determine a range of a first set of input values of the nonlinear modeling function based on the allowed range of the output values, wherein a boundary of the range of the first set of input values is an optimal input value, wherein the optimal input value can be processed through the nonlinear modeling function to produce an optimal output value; derive a nonlinear probability function from the nonlinear response function; receive the first set of input values; calculate the output values by processing each input value in the first set of input values through the nonlinear modeling function, wherein the nonlinear modeling function approximates one or more operations of the system; determine, using the probability function, a relative probability of performing a first future system operation for each input value of the first set of input values, wherein, for each input value of the first set of input values, the relative probability shows a probability of performing the first future system operation for the corresponding input value relative to a probability of performing the first future system operation for the optimal input value; and display, for each input value in the first set of input values, the corresponding output value and the corresponding probability.
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Specification