Research partially supported by grant NAL/00636/G from the Nuffield Foundation (UK), grants 312125, 314668 and 15296 from the Natural Sciences and Engineering Research Council of Canada, and a Bell University Laboratories Research Grant.
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References
A.R.S. Amaral. On the exact solution of a facility layout problem. Eur. J. Oper. Res., to appear.
M.F. Anjos, A. Kennings, and A. Vannelli. A semidefinite optimization approach for the single-row layout problem with unequal dimensions. Discr. Opt., 2(2):113–122, 2005.
B. Borchers. CSDP, a C library for semidefinite programming. Optim. Methods Softw., 11/12(1–4):613–623, 1999.
E. de Klerk. Aspects of Semidefinite Programming, volume 65 of Applied Optimization. Kluwer Academic Publishers, Dordrecht, 2002.
M. Grötschel, M. Jünger, and G. Reinelt. A cutting plane algorithm for the linear ordering problem. Oper. Res., 32(6):1195–1220, 1984.
M. Grötschel, M. Jünger, and G. Reinelt. Facets of the linear ordering polytope. Math. Program., 33(1):43–60, 1985.
C. Helmberg. http://www-user.tu-chemnitz.de/~helmberg/semidef.html.
C. Helmberg and K.C. Kiwiel. A spectral bundle method with bounds. Math. Program., 93(2, Ser. A):173–194, 2002.
C. Helmberg and F. Rendl. A spectral bundle method for semidefinite programming. SIAM J. Optim., 10(3):673–696 (electronic), 2000.
S.S. Heragu and A. Kusiak. Machine layout problem in flexible manufacturing systems. Oper. Res., 36(2):258–268, 1988.
W. Liu and A. Vannelli. Generating lower bounds for the linear arrangement problem. Discrete Appl. Math., 59(2):137–151, 1995.
J.-C. Picard and M. Queyranne. On the one-dimensional space allocation problem. Oper. Res., 29(2):371–391, 1981.
G. Reinelt. The linear ordering problem: algorithms and applications, volume 8 of Research and Exposition in Mathematics. Heldermann Verlag, Berlin, 1985.
D.M. Simmons. One-dimensional space allocation: An ordering algorithm. Oper. Res., 17:812–826, 1969.
M. Solimanpur, P. Vrat, and R. Shankar. An ant algorithm for the single row layout problem in flexible manufacturing systems. Comput. Oper. Res., 32(3):583–598, 2005.
H. Wolkowicz, R. Saigal, and L. Vandenberghe, editors. Handbook of Semidefinite Programming. Kluwer Academic Publishers, Boston, MA, 2000.
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Anjos, M.F., Vannelli, A. (2006). On the Computational Performance of a Semidefinite Programming Approach to Single Row Layout Problems. In: Haasis, HD., Kopfer, H., Schönberger, J. (eds) Operations Research Proceedings 2005. Operations Research Proceedings, vol 2005. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-32539-5_44
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