Direct calculation of sensitivity to the coefficients of the basic submatrix in parametric linear programming

Claude Dechamps; Paul Jadot

RAIRO - Operations Research - Recherche Opérationnelle (1981)

  • Volume: 15, Issue: 3, page 261-270
  • ISSN: 0399-0559

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Dechamps, Claude, and Jadot, Paul. "Direct calculation of sensitivity to the coefficients of the basic submatrix in parametric linear programming." RAIRO - Operations Research - Recherche Opérationnelle 15.3 (1981): 261-270. <http://eudml.org/doc/104789>.

@article{Dechamps1981,
author = {Dechamps, Claude, Jadot, Paul},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {direct sensitivity calculation; constraint coefficient changes; parametric linear programming; electric power; energy},
language = {eng},
number = {3},
pages = {261-270},
publisher = {EDP-Sciences},
title = {Direct calculation of sensitivity to the coefficients of the basic submatrix in parametric linear programming},
url = {http://eudml.org/doc/104789},
volume = {15},
year = {1981},
}

TY - JOUR
AU - Dechamps, Claude
AU - Jadot, Paul
TI - Direct calculation of sensitivity to the coefficients of the basic submatrix in parametric linear programming
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1981
PB - EDP-Sciences
VL - 15
IS - 3
SP - 261
EP - 270
LA - eng
KW - direct sensitivity calculation; constraint coefficient changes; parametric linear programming; electric power; energy
UR - http://eudml.org/doc/104789
ER -

References

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  1. 1. M. SIMONNARDProgrammation linéaire, Dunod, Paris, 1962. Zbl0115.37902MR138505
  2. 2. G. DE GHELLINK, La programmation linéaire, Revue des Questions Scientifiques, No. 2, April 1966, pp. 189-219, Also in CORE reprint No. 2. Center for Operations Research and Econometrics, université Catholique de Louvain, Belgium. Zbl0137.38001
  3. 3. J. SHERMAN and W.J. MORRISON, Adjustmentofan Inverse Matrix Corresponding to Changes in a Given Column or a Given Row afthe Original Matrix, Ann. Math. Stat., Vol. 21, 1949, p. 124. Zbl0037.00901MR35118
  4. 4. P. DERSIN, New insights in the use of DC Model for Steady-State Power System Analysis, Froceedings of the 17th Conference on Decision and Control, Paper FA 4, 10:45, pp. 871-877. Edited by I.E.E.E. Control Systems Society, San Diego, Calif., January 1979. Zbl0427.90056
  5. 5. C. DECHAMPS, J. VANKELECOM and E. JAMOULLE, TRANEX: An Interactive Computer Program for Transmission Expansion Planning, Paper A 79476-3 presented at I.E.E.E.P.E.S. Summer Meeting, Vancouver, 1979. 
  6. 6. J. VANKELECOM and P. JADOT, Development of Computerized Data Bases and Matrix Generators for Energy Models, Presented at the International Conference on Energy Systems Analysis, Dublin, October 1979. 
  7. 7. P. JADOT, T. HEIRWEGH and C. THONET, A Multinational Energy System: Data Base, Simulation and Optimization Models, Special Issue of Energy Policy on "Energy Models for the European Community", pp. 72 to 88, A. STRUB, Ed., Published by I.P.C. Science and Technology Press Limited, 1979. 

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