Sur Une Representation Explicite des Solutions Optimales D'un Programme Lineaire
Canadian mathematical bulletin, Tome 29 (1986) no. 4, pp. 419-425

Voir la notice de l'article provenant de la source Cambridge University Press

This paper gives a sharper explicit representation of the set of optimal solutions for a class of linear programs than those obtained by A. Ben-Israel, A. Charnes and S. Zlobec since 1968. The representation is used to determine bounds on the coefficients of the objective function that produce the same set of optimal solutions (sensitivity analysis).
DOI : 10.4153/CMB-1986-066-0
Mots-clés : 90C05
Bilodeau, Martin. Sur Une Representation Explicite des Solutions Optimales D'un Programme Lineaire. Canadian mathematical bulletin, Tome 29 (1986) no. 4, pp. 419-425. doi: 10.4153/CMB-1986-066-0
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[1] 1. Ben-Israel, A. and Charnes, A., An Explicit Solution of a Special Class of Linear Programming Problems, Oper. Res. 16, (No. 6, 1968), 1166–1175. Google Scholar

[2] 2. Ben-Israel, A. and Greville, T. N. E., Generalized Inverses: Theory and Applications, Wiley, New York, 1974. Google Scholar

[3] 3. Cambell, S. L. and Meyer, C. D. Jr., Generalized Inverses of Linear Transformations, Pitman, 1979. Google Scholar

[4] 4. Styan, G. P. H., Schur Complements and Linear Statistical Models, in Proceedings of the First International Tampere Seminar on Linear Statistical Models and their Applications (Pukkila, T. and Puntanen, S., editors), University of Tampere, Finland, 1985, 37–75. Google Scholar

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