System and process for verifying powder bed fusion additive manufacturing operation as being defect free

An additive manufacturing apparatus comprising:

• a chamber;
• a platform within the chamber;
• and
• a controller, the controller including a processor and a memory, the memory storing instructions for causing the controller to determine a probability distribution of stochastic flaws within a resultant additively manufactured article using at least one multidimensional space physics model and categorize the additive manufacturing part design as defect free when the probability distribution is below a predefined threshold in response to receiving a set of additive manufacturing parameters and an additive manufacturing part design at an analysis module stored in the controller and generating a set of random values using a random number generator, each value in the set of random values corresponds to a distinct variable in a set of variables, and each variable in the set of variables at least partially defines at least one of an uncontrolled additive manufacturing parameters and an uncontrollable additive manufacturing parameters, the controller further includes instructions for causing the additive manufacturing system to manufacture a part according to the additive manufacturing part design in response to the probability distribution being below the predefined threshold.