The aim of the research was to study the applicability and usefulness of geometric programming in water resource planning and design activities. In order to study the use of geometric programming in practical problem solving, a computer algorithm was developed. A variety of water reso. Bces problems were solved using the algorithm. There is a significant need for techniques which will permit the optimum design and operation of either proposed or existing water filtration systems because the cost models and constraints for water filtration design problems are generalized polynomials, geometric programming would be a good optimization technique to use. Because water filtration problems have not been the subject of optimization analyses in the past to any significant degree, some time was spent in developing cost models and formulating the problem. This effort and the optimization analysis combining linear and geometric programming is described extensively in the report. The report includes a tutorial explanation of geometric programming, a description of the computer algorithm used, the description of the water filtration cost model, and an explanation of the use of geometric programming in an application. (Author)