Simulation Optimization for Model and Prototype using Non- parametric Method: a case study of Anambra/Imo River Basin Engineering Development Scheme

Abstract

Non – Parametric experiments in this work is aimed at modeling an alternative method of testing null hypothesis for Anambra/Imo River Basin (prototype) and the contingency, reliability theory (model). The work assesses the relationship between the experimental and theoretically expected results and tests the null hypothesis, as follows: (a) If no maintenance is applied by the decision maker next year’s productivity depends on this year’s condition of the basin. (b) If maintenance is applied by the decision maker, next year’s productivity depends on this year’s condition of the basin. (c) If the cost function depends on the strategy (courses of action) of the decision maker in terms of loss during a-1- year period. (d) If the return function depends on the course of action of the decision maker in terms of gain during a 1-year period. (e) If simulation optimization depends on the minimization of expected cost .(f) If simulation optimization depends on the maximization of the expected revenue. The methodology involves contingency, reliability test and alterative interactive model of Pearson product moment correlation. Data were collected for the model and prototype from the Ministries, Parastatals and Anambra –Imo River Basin Development Authority Owerri. The problem of providing more information about a phenomenon or interactions in the analysis of variance was solved. The study shows that there is a significant difference between the actual experimentation of the Anambra – Imo River Basin schemes and expected theoretical result for both maintenance and without maintenance of the scheme, which led to the rejection of (H₀ ) . To further test the hypothesis The researcher analyzed the data with other powerful parametric tests such as Pearson’s product moment correlation and scatter diagrams which coincided with r = 1.00 as  height of perfection of  performance of the basin  when compared with the theory.