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Une nouvelle méthode d'initialisation pour le problème de transport

Published online by Cambridge University Press:  20 August 2008

François Dubeau  and
Oumar Mandione Guèye
François Dubeau
Affiliation:
Département de mathématiques, Faculté des sciences, Université de Sherbrooke, 2500 boul. de l'Université, Sherbrooke (Qc), J1K 2R1, Canada; Francois.Dubeau@USherbrooke.ca
Oumar Mandione Guèye
Affiliation:
Faculté des sciences, Collège universitaire de Saint-Boniface, 200 avenue de la Cathédrale, Winnipeg (Mb), R2H 0H7, Canada; ogueye@ustboniface.mb.ca
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Abstract

Dans cet article nous proposons une nouvelle méthode d'initialisation du problème de transport classique. Cette méthode est basée sur le principe d'une affectation seulement si nécessaire. Elle donne de bons résultats et souvent la solution optimale.

Keywords

Problème de transportproblème de Hitchcockméthode du simplexeinitialisation.
Type
Research Article
Information
RAIRO - Operations Research , Volume 42 , Issue 3 , July 2008 , pp. 389 - 400
Copyright
© EDP Sciences, ROADEF, SMAI, 2008

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References

R.L. Ackoff, E.L. Arnoff and C.W. Churchman, Operations Research. Wiley, New York (1957).
Balakrishnan, N., Modified vogel's approximation method for the unbalanced transportation problem. Appl. Math. Lett. 3 (1990) 9–11. CrossRef
G.B. Dantzig, Application of the simplex method to a transportation problem, Chap. XXIII of Cowles Commission Monograph, No. 19. Wiley, New York (1951).
G.B. Dantzig, Linear Programming and Extensions. Princeton University Press, Princetion, N.J. (1963).
Goyal, S.K., Improving VAM for unbalanced transportation problems. JORS 35 (1984) 1113–1114. CrossRef
Houthakker, H.S., On the numerical solution of the transportation problem. Oper. Res. 3 (1955) 210–214.
R.E. Larson, Normalizing Vogel's approximation method. Math. Mag. Nov-Dec (1972) 266–269.
Lee, T.S., A complete Russell's Method for the transportation problem. SIAM Rev. 28 (1986) 547–549.
Russell, E.J., Extension of Dantzig's algorithm to finding an initial near-optimal basis for the transportation problem. Oper. Res. 3 (1955) 210–214.
N.V. Reinfeld and W.R. Vogel, Mathematical Programming. Prentice-Hall, Englewood Cliffs, N.J. (1958).
Swarc, W., The initial solution of the transportation problem. Oper. Res. 8 (1960) 727–729. CrossRef
Shimshak, D.G., Kaslik, J.A. and Barclay, T.D., A modification of Vogel's approximation method through the use of heuristics. INFOR 19 (1981) 256–263.