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Diskretn. Anal. Issled. Oper., 2012, Volume 19, Number 5, Pages 83–100 (Mi da706)  

This article is cited in 9 scientific papers (total in 9 papers)

The pricing problem. Part I. Exact and approximate algorithms

A. V. Plyasunovab, A. A. Paninab

a Novosibirsk State University, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: We consider the mill pricing problem which is shown to be NP-hard in the strong sense. To solve this problem, some exact and approximate algorithms based on decomposition, genetic local search, and tabu search are developed. Results of the computing experiments are given. Tab. 3, bibliogr. 25.

Keywords: NP-hard in the strong sense, the bilevel pricing problem, minimax problem, decomposition, local search, tabu search, genetic algorithm, hybrid algorithm.

Full text: PDF file (300 kB)
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English version:
Journal of Applied and Industrial Mathematics, 2013, 7:2, 241–251

Bibliographic databases:

UDC: 519.87+519.854
Received: 01.06.2011
Revised: 04.06.2012

Citation: A. V. Plyasunov, A. A. Panin, “The pricing problem. Part I. Exact and approximate algorithms”, Diskretn. Anal. Issled. Oper., 19:5 (2012), 83–100; J. Appl. Industr. Math., 7:2 (2013), 241–251

Citation in format AMSBIB
\Bibitem{PlyPan12}
\by A.~V.~Plyasunov, A.~A.~Panin
\paper The pricing problem. Part~I. Exact and approximate algorithms
\jour Diskretn. Anal. Issled. Oper.
\yr 2012
\vol 19
\issue 5
\pages 83--100
\mathnet{http://mi.mathnet.ru/da706}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3058510}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 2
\pages 241--251
\crossref{https://doi.org/10.1134/S1990478913020142}


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    Citing articles on Google Scholar: Russian citations, English citations
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    Cycle of papers

    This publication is cited in the following articles:
    1. A. V. Plyasunov, A. A. Panin, “The pricing problem. Part 2. The computational complexity”, J. Appl. Industr. Math., 7:3 (2013), 420–430  mathnet  crossref  mathscinet
    2. V. L. Beresnev, A. A. Melnikov, “Branch-and-bound method for the competitive facility location problem with prescribed choice of suppliers”, J. Appl. Industr. Math., 8:2 (2014), 177–189  mathnet  crossref  mathscinet
    3. V. L. Beresnev, “On the competitive facility location problem with a free choice of suppliers”, Autom. Remote Control, 75:4 (2014), 668–676  mathnet  crossref  isi
    4. A. A. Panin, M. G. Pashchenko, A. V. Plyasunov, “Bilevel competitive facility location and pricing problems”, Autom. Remote Control, 75:4 (2014), 715–727  mathnet  crossref  isi
    5. A. A. Panin, A. V. Plyasunov, “On complexity of bilevel problems of location and pricing”, J. Appl. Industr. Math., 8:4 (2014), 574–581  mathnet  crossref  mathscinet
    6. Yu. A. Kochetov, A. A. Panin, A. V. Plyasunov, “Comparison of metaheuristics for the bilevel facility location and mill pricing problem”, J. Appl. Industr. Math., 9:3 (2015), 392–401  mathnet  crossref  crossref  mathscinet  elib
    7. S. M. Lavlinskii, A. A. Panin, A. V. Plyasunov, “A bilevel planning model for public-private partnership”, Autom. Remote Control, 76:11 (2015), 1976–1987  mathnet  crossref  isi  elib  elib
    8. V. L. Beresnev, A. A. Melnikov, “A capacitated competitive facility location problem”, J. Appl. Industr. Math., 10:1 (2016), 61–68  mathnet  crossref  crossref  mathscinet  elib
    9. A. V. Gubareva, A. A. Panin, A. V. Plyasunov, L. V. Som, “On a three-level competitive pricing problem with uniform and mill pricing strategies”, J. Appl. Industr. Math., 13:1 (2019), 54–64  mathnet  crossref  crossref
  • Дискретный анализ и исследование операций
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