Symmetric random scatter process for probabilistic modeling system for product design

A computer readable storage medium storing a set of instructions for enabling a processor associated with a computer to:

• obtain data records relating to one or more input variables and one or more output parameters associated with a configuration of a product to be designed;
• select one or more input parameters from the one or more input variables;
• generate a computational model for the product configuration, the computational model indicative of interrelationships between the one or more input parameters and the one or more output parameters based on the data records;
• provide a set of constraints to the computational model representative of a compliance state for the product;
• use the computational model and the provided set of constraints to generate statistical distributions for the one or more input parameters based on a symmetric random scatter process and the one or more output parameters, the symmetric random scatter process including:
• obtaining initial ranges of the input parameters;
• creating a plurality of model data records including at least one symmetric model data record based on the initial ranges of the input parameters;
• determining a candidate set of values of the input parameters based on the plurality of model data records;
• and
• determining the statistical distributions of the one or more input parameters based on the candidate set;
• and
• identifying a desired range of input parameters for the product configuration based on the generated statistical distributions for the one or more input parameters.

A computer-based product design system, comprising:

• a database containing data records relating one or more input variables and one or more output parameters associated with a product to be designed;
• and
• a processor configured to:
• obtain data records relating to one or more input variables and one or more output parameters associated with a configuration of the product;
• select one or more input parameters from the one or more input variables;
• generate a computational model for the product configuration, the computation model indicative of interrelationships between the one or more input parameters and the one or more output parameters based on the data records;
• provide a set of constraints to the computational model representative of a compliance state for the product;
• use the computational model and the provided set of constraints to generate statistical distribution for the one or more input parameters based on a symmetric random scatter process and the one or more input parameters, the symmetric random scatter process including:
• obtaining initial ranges of the input parameters;
• creating a plurality of model data records including at least one symmetric model data record based on the initial ranges of the input parameters;
• determining a candidate set of values of the input parameters based on the plurality of model data records;
• and
• determining the statistical distributions of the one or more input parameters based on the candidate set;
• and
• identify a desired range of input parameters for the product configuration based on the generated statistical distributions for the one or more input parameters.