The study of the stability of asphalt concrete mixture composition optimization mathematical models using imitative simulation

Abstract

The method of statistical imitative simulation (Monte-Carlo) was used to simulate the heterogeneity of the produced asphalt concrete mixture (ACM) mineral part grading. The stability of optimisation of mathematical models of ACM composition developed by us was tested by a computer using tpe theory of this method application. Average values aij and their average standard deviations σ _ij of seven (A_j = 7) finally hatched aggregate partial residues on control sieves i (i = 9) were set for research. Imported filler A ₁ and reclaimed dust A₂ were replaced by their mixture Ā₁ when the accepted ratio of these materials masses λ is 1, 2 and 3. The maximum (A _max) and minimum (A _j min) values of ACM materials quantity optimal composition were calculated from numerical values of aggregate with different heterogeneity ((minimum – σ _ijmin, medium – σ _ijvid , maximum – σ _ijmax) increasing the number of computer imitations N (100, 300, 500, 1000, 5000, 10 000). The graphs of the difference between the calculated maximum and minimum values of optimal quantity of aggregate dependence ΔA_j on the imitation number N are presented. Calculation results proved the sufficient stability and practical application of the used optimization mathematical model to forecast ACM heterogeneity, when the heterogeneity and optimal quantity of the aggregate used in the mixture are known.

First Published Online: 19 Dec 2011

Keyword : asphalt concrete mixture, production technology, imitative simulation, model stability, Monte-Carlo method