OPTIMIZATION SYSTEM AND METHOD

摘要

OptimizationA computer-implemented method and system are disclosed for solving an optimization problem in which nodes of a population have a probability of undergoing a state transition in response to an input. Transition probabilities are modelled in a matrix T, where T is an N×N matrix, N being the number states, and Tab is the transition probability from state a to state b. The matrix T is multiplied by a vector of coupled differential equations to determine a system of differential equations. From an initial state of nodes of the population, the system of differential equations is solved for each of a plurality of time increments.

主权项

1. A computer-implemented method for solving an optimization problem in which nodes of a population have a probability of undergoing a state transition in response to an input comprising:
modelling the transition probabilities in a matrix T, where T is an N×N matrix, N being the number states, and Tab is the transition probability from state a to state b; multiplying the matrix T by a vector of coupled differential equations to determine a system of differential equations; and,from an initial state of nodes of the population, iteratively solving the system of differential equations for each of a plurality of time increments.