The Out-of-Kilter Algorithm and Some of its Applications in Water Resources

Kindler, J. (1975). The Out-of-Kilter Algorithm and Some of its Applications in Water Resources. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-75-019

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Abstract

The purpose of this paper is to present a simple water resources allocation model based on the Fulkerson's out-of-kilter algorithm. This algorithm is a special purpose linear programming method which has been efficiently used for the solution of a number of water resources problems, just to mention the Texas Water Plan in the USA, the Vistula River Project in Poland, and the Trent River System in Canada. The model is presented in form of a complete computer program OKAY written in the Fortran language. Potential applications of the model are illustrated by few computational examples. Although in principle this is an allocation model for a single time period, the possibilities of its extension to multiperiod analysis are also briefly discussed.

The model presented herein is of a general nature and can be considered as a base for development of more complex computer programs designed according to the specific character of a problem subject to analysis. Its original feature is iterative use of the out-of-kilter algorithm to take care of the so-called consumptive losses which as a rule occur in all water resources systems.

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