Article Outline
Keywords
Problem Description
Review of Exact and Approximation Algorithms
Branch and Bound Algorithms
Linear Programming Algorithms
See also
References
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Boenchendorf K (1982) Reihenfolgenprobleme/Mean-flow-time sequencing. Math Systems in Economics. Athenäum–Hain–Scriptor–Hanstein, Königstein/Ts.
Campos V, Glover F, Laguna M, Martí R (1999) An experimental evaluation of a scatter search for the linear ordering problem. Manuscript Apr
Chenery HB, Watanabe T (1958) International comparisons of the structure of production. Econometrica 26(4):487–521
DeCani JS (1972) A branch &bound algorithm for maximum likelihood paired comparison ranking. Biometrika 59:131–135
Garey MR, Johnson DS (1979) Computers and intractability: A guide to the theory of NP-completeness. Freeman, New York
Glover F, Laguna M (1997) Tabu search. Kluwer, Dordrecht
Hellmich K (1970) Ökonomische Triangulierung. Heft 54. Rechenzentrum Graz, Graz
Kaas R (1981) A branch&bound algorithm for the acyclic subgraph problem. Europ J Oper Res 8:355–362
Korte B, Oberhofer W (1968) Zwei Algorithmen zur Lösung eines Komplexen Reihenfolgeproblems. Unternehmensforschung 12:217–231
Korte B, Oberhofer W (1969) Zur Triangulation von Input-Output Matrizen. Jahrbuch f Nat Ok u Stat 182:398–433
Laguna M, Martí R, Campos V (1999) Intensification and diversification with elite tabu search solutions for the liner ordering problem. Comput Oper Res 26:1217–1230
Lenstra jr. HW (1973) The acyclic subgraph problem. Techn Report Math Centrum Amsterdam BW26
Marcotorchino JF, Mirchaud P (1979) Optimisation en analyse ordinale des donnees. Masson, Paris
Poetsch G (1973) Lösungsverfahren zur Triangulation von Input-Output Tabellen. Heft 79. Rechenzentrum Graz, Graz
Reinelt G (1985) The linear ordering problem: Algorithms and applications. In: Hofmann HH, Wille R (eds) Res. and Exposition in Math., vol 8. Heldermann, Berlin
Wessels H (1981) Computers and intractability: A guide to the theory of NP-completeness. Beiträge zur Strukturforschung, vol 63. Deutsches Inst. Wirtschaftsforschung, Berlin
Whitney H (1935) On the abstract properties of linear dependence. Amer J Math 57:509–533
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag
About this entry
Cite this entry
Festa, P. (2008). Linear Ordering Problem . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_335
Download citation
DOI: https://doi.org/10.1007/978-0-387-74759-0_335
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-74758-3
Online ISBN: 978-0-387-74759-0
eBook Packages: Mathematics and StatisticsReference Module Computer Science and Engineering