Abstract
In the paper we consider following bilevel mixed integer problem. The upper problem (level one) is a simple plant location problem with additional condition for product distribution. The lower problem (level two) is a knapsack problem with continuous variables. It is shown that initial problem can be reduced to series of simple plant location problems. The reduction allows to get lower bound for objective function and design exact and approximate algorithms. Computational results and further research directions are discussed.
This work was supported by the grant 95-01-00989 of the Russian Foundation of Fundamental Research.
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© 1997 Springer-Verlag Berlin Heidelberg
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Kochetov, Y., Alexandrov, D. (1997). Simple plant location problem with partial external finance: lower bound, heuristic and exact solution. In: Operations Research Proceedings 1996. Operations Research Proceedings, vol 1996. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60744-8_17
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DOI: https://doi.org/10.1007/978-3-642-60744-8_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-62630-5
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