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The Quadratic Assignment Problem (1998)  (Make Corrections)  (73 citations)
Rainer E. Burkard, Eranda Çela, Panos M. Pardalos, Leonidas S. Pitsoulis
European Journal of Operational Research



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Abstract: This paper aims at describing the state of the art on quadratic assignment problems (QAPs). It discusses the most important developments in all aspects of the QAP such as linearizations, QAP polyhedra, algorithms to solve the problem to optimality, heuristics, polynomially solvable special cases, and asymptotic behavior. Moreover, it also considers problems related to the QAP, e.g. the biquadratic assignment problem, and discusses the relationship between the QAP and other well known... (Update)

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BibTeX entry:   (Update)

G. FINKE, R.E. BURKARD, and F. RENDL. Quadratic assignment problems. Annals of Discrete Mathematics, 31:61--82, 1987. http://citeseer.ist.psu.edu/finke98quadratic.html   More

@article{ burkard84quadratic,
    author = "Rainer E. Burkard and Eranda {\c{C}}ela and Panos M. Pardalos and Leonidas S. Pitsoulis",
    title = "Quadratic assignment problems",
    journal = "European Journal of Operational Research",
    volume = "15",
    pages = "283--289",
    year = "1984",
    url = "citeseer.ist.psu.edu/finke98quadratic.html" }
Citations (may not include all citations):
107   complete approximation problems (context) - Sahni, Gonzalez - 1976
88   Multiprocessor scheduling with the aid of network flow algor.. (context) - Stone - 1977
42   Tabu search applied to the quadratic assignment problem (context) - Skorin-Kapov - 1990
35   Applications of parametric programming and eigenvalue maximi.. (context) - Rendl, Wolkowicz - 1992
25   A genetic approach to the quadratic assignment problem - Tate, Smith - 1995
25   Robust tabu search for the quadratic assignment problem (context) - Taillard - 1991
25   The backboard wiring problem: A placement algorithm (context) - Steinberg - 1961
24   Computing lower bounds for the quadratic assignment problem .. (context) - Resende, Ramakrishnan et al. - 1995
22   Simple local search problems that are hard to solve (context) - Schaffer, Yannakakis - 1991
21   Approximate solution of weighted max-sat problems using GRAS.. - Resende, Pitsoulis et al. - 1997
18   A parallel branch and bound algorithm for the quadratic assi.. (context) - Roucairol - 1987
10   Solving quadratic assignment problems by simulated annealing (context) - Wilhelm, Ward - 1987
8   Semidefinite Programming for Assignment and Partitioning Pro.. - Zhao - 1996
7   Design and Assignment Problems with Quadratic Costs (context) - Rijal - 1995
7   A note on asymptotic properties of the quadratic assignment .. (context) - Rhee - 1988
6   Fortran subroutines for approximate solution of dense quadra.. - Resende, Pardalos et al. - 1996
5   Extensions of tabu search adaptation to the quadratic assign.. (context) - Skorin-Kapov
5   A reduction method for quadratic assignment problems (context) - Roucairol - 1979
5   Combinatorial optimization problems for which almost every a.. - Szpankowski - 1995
4   Stochastic analysis of the quadratic assignment problem (context) - Rhee - 1991
3   Neue Anwendungsgebiete fur Computer in der Chemie (context) - Ugi, Bauer et al. - 1979
2   Algorithm 608: Approximate solution of the quadratic assignm.. (context) - West - 1983
2   Ranking scalar products to improve bounds for the quadratic .. (context) - Rendl - 1985



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