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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 20, 1989 - Issue 1
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Original Articles

On decomposition in bilinear programming

U. Würker Sektion Mathematik, Technische Universitäat Karl-Marx-Stadt, PSF 964, Karl-Marx-Stadt, DDR, 9010
Pages 45-60 | Received 01 Sep 1987, Published online: 27 Jun 2007

References

  • Beer , K. 1984 . Verfahren der zulässigen Bichtungen für nichtlineare konvexe Opti-mierungsprobleme mit Verbundstruktur . Wiss. Berichte der Technischen Hochschule Leipzig , 2 : 35 – 47 .
  • Dantzig , G.B. 1963 . Linear Programming and Extensions , Princeton : Princeton Univ. Press .
  • Dils , G. 1986 . Dekomposition einiger gro?er linearer Optimierungsmodelle der Landwirtschaft mit einzelnen Nichtlinearitäten . Dissertation A, TU Karl-Marx-Stadt, Sektion Mathematik ,
  • Geoffrion , A.M. 1972 . Generalized Benders Decomposition . Journal of Optimization Theory and Applications , 10 ( 4 ) : 237 – 260 .
  • Lasdon , L.S. 1970 . Optimization Theory of Large Systems , London : The Macmillan Company .
  • 1974 . Theorie der linearen parametrischen Optimierung , Berlin : Akademie-Verlag .
  • Pliskin , L.G. 1979 . “ Bilinejnye modeli optimizacii proizvodstva ” . In Sovetskoe Radio Moscow
  • Rückmann , J. and Tammer , K. 1988 . “ Theoretical foundations of two-level methods in non-convex optimization ” . In Advances in Mathematical Optimization , 180 – 190 . Berlin : Akademie-Verlag .
  • Wolsey , L.A. 1981 . A Resource Decomposition Algorithm for General Mathematical Programs . Mathematical Programming Study , 14 : 244 – 257 .
  • Würker , U. 1987 . “ Untersuchungen zum Dekompositionszugang bei bilinearen Aufgaben. Diplomarbeit ” . In Sektion Mathematik Karl-Marx-Stadt, TU

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