Abstract
The problem of the short term management of hydroelectric reserves is modelised in the form of a multicommodity network flow problem where a block represents the water balance of a valley.
We solve it by using partitioning technics, and solving the linear systems associated to a nonsingular flow matrix by the methods that we described in [4]. The performances of the code are interesting and the results we obtain are really attractive.
In a second section we describe an extension of the model and code that we consider to be of special interest.
This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
J.C. Dodu and A. Merlin, “Une application de la programmation linéaire à l’étude des réssaux électriques de grande taille”, Bulletin de la D.E.R., série C, 1 (1974).
M.D. Grigoriadis, “Unified pivoting procedures for large structured linear systems and programs”. Nato institute on decomposition as tool. Cambridge (1972).
L.S. Ladson, Optimization theory for large systems (macmillan, New York, 1970) pp. 268–276.
J.F. Maurras, “Optimization of the flow through networks with gains”. Mathematical Programming, 3 (2) (1972).
J.F. Maurras, “Formulation de quelques problèmes de gestion des stocks à l’aide de la théorie des flots sur un graphe”, Bulletin de la D.E.R., série C, 1 (1975), et Proceedings of the colloquim of Public Utilities, Université de Montreal, January 29–39 (1975).
J.F. Maurras, “Méthode de partitionnement en programmation linéaire”, Bulletin de la D.E.R., série C, 1 (1975).
J.F. Maurras-J. Machado et C. Shafroth, “Description du modèle linéaire à court terme de gestion d’un système de production hydraulique thermique comprenant un grand nombre de vallées et premiers résultats”, Note E.D.F. 32.0095 du 24.04.75.
M. Woodbury, “Inverting modified matrices”, Memorandum report 42, Statistical Research group, Princeton (1950).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1978 The Mathematical Programming Society
About this chapter
Cite this chapter
Maurras, J.F., Machado, J. (1978). The short-term management of hydroelectric reserves. In: Balinski, M.L., Lemarechal, C. (eds) Mathematical Programming in Use. Mathematical Programming Studies, vol 9. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120833
Download citation
DOI: https://doi.org/10.1007/BFb0120833
Received:
Revised:
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-00795-8
Online ISBN: 978-3-642-00796-5
eBook Packages: Springer Book Archive