Physics and Mathematics Paper Abstracts (Author Abstract‪)‬

A MATHEMATICAL MODEL FOR OPTIMUM WATER DISTRIBUTION IN A REMOTE CITY WITH A WATER TOWER. Arjuna I. Ranasinghe and Fayequa Majid, Dept. of Mathematics, Alabama A & M University, Normal, AL 35762. A mathematical model will be developed for simulating water distribution in Alabama remote city systems that have water towers. The objective of the proposed model is to optimize water delivery in remote city systems. The inputs to the model include the water source data, distribution facility capacity, delivery site networks, maximum pumping/power requirements, and other constraints. The output will be an optimized network of delivery routes, piping systems, optimum pump/power requirements, efficient delivery rates and use requirements. This will also maintain maximum capacity, lowest power requirements, greatest reliability and shortest down time. We assume that there is a constant pressure at the distribution point where the water tower is situated. The objective functions to be optimized can be any or all of the following: smoothness of operation, lowest power, optimum pumping capacity, reliability, lowest down time, and total cost. Virtually any other efficiency function can be included. In the objective function, practical constraints can also be used including the following: size of available pumps, pipe diameters and lengths, limitations on station capacity, and number of delivery sites (and virtually any others).