A Linear Programming Formulation of a Water Supply Problem

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Abstract
The problem treated is that of determining the minimum cost distribution system for supplying water to several demand centers having demand patterns which change over time. The costs of the system are taken to be functions of the lengths of alternative pipe sizes used, as well as the friction losses produced by the flow of water. The decision variables are the lengths of each of several sizes of pipe to be used in the system, as well as the magnitudes of inserted head loss required for equilibrium. The problem is formulated as a linear programming problem and an example problem is solved.

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