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The developed method of optimising a farmland arrangement system considers two basic directions when improving the layout of plots and farms: the aim of bringing farmlands closer to a farmstead site and the aim to improve the size and shape of plots. The basis for constructing this optimisation model comprises the division of consolidated land complexes into small elementary strips and the determination of distances between those strips and farmstead sites. The final result of the entire optimisation procedure is a complete digital map of a new farmland arrangement system. With this map, it is possible to compile all the documents necessary to create a cadastre. The time- and labour consuming processes of preparing data, constructing the model and solving it have been automated through the application of relevant software programs, thus, the method developed can be used in practice. The optimisation principles of farmland arrangement system were exemplified in the case of the village of Filipowice located near the city of Cracow. The optimisation performed resulted in, among other things, enlarging the mean plot area by four times and in bringing it 30% closer to a farmstead site.
In recent years, Nigeria has witness rapid development especially in the area of infrastructural development like roads, bridges, buildings etc. The conventional methods used in concrete mixing have its own peculiar problems, like time wasting, material wasting and errors. These problems have been the cause of structural failures which has given rise to loss of life and properties. Hence the need to development a method that will take care of all these anomalies witness in the conventional method. This work is aim at removing these anomalies by the use of Scheffes optimization method. This optimization method can predict the compressive strength of a concrete given the mix ratios and also predict the mix ratios required to give a compressive strength for a particular concrete made by completely replacing river sand with quarry dust. With this method it will be easy to predict the compressive strength of concrete based on the type of structure it is to be used for, there by eliminating the problems associated with structural collapse due to errors in concrete mixing by conventional method.
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