This research study focus is based on the optimization of network simulation of gas distribution pipeline network and water distribution to the end-users. It presents a simulation scheme for water distribution systems based on computational analysis and analysis methods including; flow equations and loop equations. The study investigates the impact of these methods on the gas and water distribution to the end-users. For instance, the control of water network systems has caused problems in the control system such as pumping more water within a very short duration without correct measurements and calculations information like pressure and flow values. The study shows how computer simulations of these distribution systems show how they have curbed these difficulties. However, these computer simulations mean that we solve a system of equations, more used is the numerical equations that reduce the size of matrices involved in numerical computations. Our research led to several conclusions. The results indicate that by network sectorization techniques there is a decrease in leakage of gas and water and a significant decrease in water contamination to end-users. Also, there are some diseconomies of scale and scope in large utilities that are more likely to be found in public multi-utilities, though only the scale economies are significant due to optimization.