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Type: Conference paper
Title: Between a rock and a hard place: the two-to-one assignment problem
Author: Goossens, D.
Polyakovskiy, S.
Spieksma, F.
Woeginger, G.
Citation: Lecture Notes in Artificial Intelligence, 2010 / Bampis, E., Jansen, K. (ed./s), vol.5893 LNCS, pp.159-169
Publisher: Springer-Verlag Berlin
Issue Date: 2010
Series/Report no.: Lecture Notes in Computer Science; 5893
ISBN: 3642124496
ISSN: 0302-9743
Conference Name: 7th International Workshop on Approximation and Online Algorithms (10 Sep 2009 - 11 Sep 2009 : Copenhagen, Denmark)
Editor: Bampis, E.
Jansen, K.
Statement of
Dries Goossens, Sergey Polyakovskiy, Frits C.R. Spieksma, and Gerhard J. Woeginger
Abstract: We describe the two-to-one assignment problem, a problem in between the axial three-index assignment problem and the three-dimensional matching problem, having applications in various domains. For the (relevant) case of decomposable costs satisfying the triangle inequality we provide, on the positive side, two constant factor approximation algorithms. These algorithms involve solving minimum weight matching problems and transportation problems, leading to a 2-approximation, and a 3/2-approximation. Moreover, we further show that the best of these two solutions is a 4/3-approximation for our problem. On the negative side, we show that the existence of a polynomial time approximation scheme for our problem would imply P=NP.
Keywords: Assignment problem matching problem; efficient algorithm; approximation;
Rights: © Springer-Verlag Berlin Heidelberg 2010
DOI: 10.1007/978-3-642-12450-1_15
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