APPLICATION OF BIASING TECHNIQUES TO THE CONTRIBUTION MONTE CARLO METHOD.

Recently, a new Monte Carlo method called the contribution Monte Carlo method was developed. The method is based on the theory of ″contributions″ and utilizes a new recipe for estimating target responses using a volume integral over the contribution current. The application of some biasing methods to the new contribution scheme are examined. A theoretical model is developed that enables an analytic prediction of the benefit to be expected when these biasing schemes are applied to both the contribution method and regular Monte Carlo. This model is verified by a variety of numerical experiments and is shown to yield satisfying results, especially for deep-penetration problems. Other considerations regarding the efficient use of the new method are also discussed and remarks are made as to the application of other biasing methods.