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22 - Performance criteria for multiunit reservoir operation and water allocation problems

Published online by Cambridge University Press:  18 January 2010

Janos J. Bogardi
Affiliation:
Division of Water Sciences, UNESCO, Paris
Zbigniew W. Kundzewicz
Affiliation:
Research Centre of Agricultural and Forest Environment, Polish Academy of Sciences
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Summary

ABSTRACT

A genetic algorithm model was developed to derive the best water allocation distribution within a multiple-reservoir water supply system. Three different objective functions were used to test the applicability of the model on a real-world seven-reservoir system. The appraisal of obtained solutions was carried out through the respective system's performance evaluation using a number of performance indicators. Due to the difference in the objective functions, the use of performance indicators proved crucial in the comparison of the solutions proposed by the three models. In addition, in all of the three cases the resulting release distributions produced in repeated runs of the same model showed substantial variability. The variability, however, was not reflected in the respective objective function achievement, indicating that there might be a number of potential solutions to the problem. In this respect, the comparison of the related performance indicator estimates was found to be a valuable means to provide a better insight into the essential difference between different solutions.

INTRODUCTION

Genetic algorithms (GA) fall into a group of search strategies that are based on the Darwinian concept of biological evolution. They apply the principles of natural genetics and selection to solve optimization problems related to artificial systems (Holland 1975). By using the objective function as a fitness measure, GAs emulate the Darwinian concept of “survival of the fittest” on a population of artificial beings to search the solution space of the optimization problem. The artificial “creatures” that the search is based on represent a specific coding of potential solutions to the problem.

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Publisher: Cambridge University Press
Print publication year: 2002

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