Consumption patterns of public water supply using linear programming techniques

Abstract

This report presents the outcome of a survey of water use pattern in Kaduna metropolis, Kaduna State Nigeria. The water use pattern study extends to various water consumers such as residential, institutional, commercial and industrial. The study was conducted by distribution of questionnaires and oral interview. The questionnaires contain questions related to water demand and uses. The research work presents the outcome of a linear Programming Techniques Model and sampling techniques of water use pattern carried out. The study was conducted by the application of linear Programming Approach and sampling techniques. The sampling technique contains questions related to water demand and uses. The information obtained were analysed and the result show that the residential water consumption varies from 46l/c/d to 115l/c/d with lower values for high and medium density areas, while higher value is for low density areas because of high standard of living. The daily values for commercial, industries and Public facilities sampled within the metropolis were; 29,915.854, 366,666.666 and 29, 308.804 litres respectively. A Water consumptionmodel was developed using Linear programming modelling technique to the allocation of 176,360,000 L of water produced daily by the State Water Corporation and supplied to the four sectors of the town. The result shows that the model gave an optimal solution of 275, 170, 410 L to the four sectors with an allocation of 150,441,410 L to residential sector, 101,325,000 L to commercial sector, 223,040,000 L to public sector and 1,100,000L to industrial sector. It is concluded that the water supply by the Water cooperation is less than the water demanded.