Introduction of Asymptote Method for Validation of SA Optimization Algorithms Solutions and its Application in Improving the Performance of Water Distribution Channels, Surface Irrigation and Reservoir Management

SA method is known as one of the most effective meta-heuristic numerical methods for solving complex optimization problems. In this method after determining the appropriate combination of SA parameters and the final implementation of the algorithm for the problem considered, the results should be evaluated using an appropriate approach. Hence in this paper an initiative method named the asymptote is presented and it is shown how the SA algorithm will converge to the asymptote of the global optimum and also presents a value for global optimum. The method is applied to solve 5 problems which have analytical solutions and it led to a reasonable estimate of the global optimum where the minimum, maximum and average error was 0.6, 10, and 5 percent, respectively. Also 5 models of ICSSDOM, OPTIFUR, SOP-SA, BISEDOM and ARM-SA is verified by asymptote method for optimization of hydraulic performance of water distribution channels, furrow irrigation, optimal operation of reservoir, border irrigation and sediment distribution of dam reservoir, respectively. As a result, asymptote method can be used for validation of SA algorithm results when there is not valid criteria to assess them