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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 5, Pages 779–787 (Mi zvmmf136)  
This article is cited in 3 scientific papers (total in 3 papers)

Comparison of Lagrangian bounds for one class of generalized assignment problems

I. S. Litvincheva, S. Rangelb

a Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
b Sao Paulo State University, CP 136, S.J., Rio Preto, Brazil
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Abstract: Classical and modified Lagrangian bounds for the optimal value of optimization problems with a double decomposable structure are examined. For the class of generalized assignment problems, this property of constraints is used to design a Benders algorithm for solving the modified dual problem. Numerical results are presented that compare the quality of classical and modified bounds.
Key words: Lagrangian bounds in optimization problems, improvement of Lagrangian bounds, generalized assignment problem.
Received: 31.07.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 5, Pages 739–746
DOI: https://doi.org/10.1134/S0965542508050047
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: I. S. Litvinchev, S. Rangel, “Comparison of Lagrangian bounds for one class of generalized assignment problems”, Zh. Vychisl. Mat. Mat. Fiz., 48:5 (2008), 779–787; Comput. Math. Math. Phys., 48:5 (2008), 739–746
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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