Mathematical modeling and spark mapping of shade structures for corral systems in hot climates.

ABSTRACT : A tool is developed in order to assist in designing and planning dairy farms in hot climates. The tool is developed by integrating a mathematical model into an electronic spark map. The spark map (decision tree) assists the designer in making decisions to select the roof material and the roof type suitable for the selected corral system. Subsequently, the roof and the structure dimensions will be calculated automatically. Furthermore, it calculates the capital investment and the fixed, variable, and total costs of the shade structure and the roof material. However, the mathematical model of the spark map requires some input data. According to the inserted input data, the designer will be advised to implement one of the available roof types and roof materials. Afterwards, the spark map using the mathematical model will make the calculations which guide the designer to compare the output data of the different roof types and roof materials, and then to make the right decision.