Abstract: A computer-implemented method controls commercial transactions involving a portfolio of financial products by conducting business operations related to commercial transactions between a bank and consumer involving purchase and utilization of the financial products, collecting transactional data related to the financial products, and providing a centralized modeling and optimization tool to predict customer response to changes in an attribute of a financial product under evaluation based on the transactional data and to optimize the variable of the financial product under evaluation. The modeling and optimization tool is configurable to evaluate the financial products in the portfolio under KPIs and business rules selected according to the financial product under evaluation. The optimized variable is transmitted to the bank.

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.

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.

Abstract: A computer-implemented method controls commercial transactions involving a portfolio of financial products by conducting business operations related to commercial transactions between a bank and consumer involving purchase and utilization of the financial products, collecting transactional data related to the financial products, and providing a centralized modeling and optimization tool to predict customer response to changes in an attribute of a financial product under evaluation based on the transactional data and to optimize the variable of the financial product under evaluation. The modeling and optimization tool is configurable to evaluate the financial products in the portfolio under KPIs and business rules selected according to the financial product under evaluation. The optimized variable is transmitted to the bank.