Optimisation of concrete mix cost using Scheffe’s simplex lattice theory

Abstract

In order to obtain concrete which will meet a number of performance criteria
simultaneously at minimum cost, it is necessary to carry out the optimization of concrete
mixture design. In this work, the cost of concrete mixtures is optimised using Scheffe’s
optimisation theory. The cost optimisation is based on current market prices of concrete
components. In case of price fluctuations over time, the current prices of concrete
component can be obtained by multiplying the base prices with a price fluctuation factor
(PFF). The optimization model can be used to determine the cost of producing one cubic
meter of concrete. Conversely, it can be used to obtain the concrete mix proportions that
can be afforded by a specified amount of money. The model values were approximately
equal to estimated values. The use of the optimisation model eliminated the arbitrary
choice of concrete design mixes and its associated disadvantages. In addition, it yielded
optimum concrete mixtures, which minimises costs and satisfies specific performance
requirements.