Prediction of Resistance Standards Time Behavior by Stochastic Determination of Lagrange Polynomial

In the paper a novel method for determination of the time behavior trend line of a 1 Ω resistance standard by using the stochastic genetic algorithm is given. For modeling of the trend line a Lagrange polynomial (LP) is acquired. The coefficients of the LP are determined from the experimental data from previous calibrations of the resistance standard. The goal function of the optimization process by genetic algorithm is the minimum difference between the theoretical resistance value, derived by the LP, and the experimental value of the resistance at certain time moment. The uncertainties of the experimental data are the mapping range of the input data during the stochastic evolution of the LP trend line. A verification of the gained model with known experimental data is done.