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ISSN 2083-6473
ISSN 2083-6481 (electronic version)
 

 

 

Editor-in-Chief

Associate Editor
Prof. Tomasz Neumann
 

Published by
TransNav, Faculty of Navigation
Gdynia Maritime University
3, John Paul II Avenue
81-345 Gdynia, POLAND
www http://www.transnav.eu
e-mail transnav@umg.edu.pl
Regularized Han-type Algorithms for Inconsistent Maritime Container Transportation Problems
1 Constanta Maritime University, Constanța, Romania
2 Ovidius University of Constanta, Constanta, Romania
ABSTRACT: In this paper we analyse several ways to compute the weights from the Regularized Han (RH) algorithm, the regularized version of Han?s algorithm for approximating the least squares solutions of inconsistent (incompatible) systems of linear inequalities. We tested our approaches on a classical transportation problem, aiming to provide a cost optimized solution to real world transportation problems, which often are unbalanced and inconsistent.
REFERENCES
Carp, D., Popa, C. & Serban C. 2013. Iterative solution of inconsistent systems of linear inequalities, Proceedings on Applied Mathematics and Mechanics (PAMM), 13, DOI 10.1002/pamm.201310199, 407–408.
Carp, D., Popa, C. & Serban C. 2014. Modifed Han algorithm for maritime containers transportation problem, ROMAI Journal, v.10, no.1, ISSN 1841-5512, ISSN Online 2065-7714, 11–23
Censor, Y. & Stavros, A.Z. 1997. Parallel optimization: theory, algorithms and applications, Numer. Math. and Sci. Comp. Series, Oxford Univ. Press, New York
Koopmans, T.C. & Beckmann, M. 1957. Assignment problems and location of economic activities, Econometrica, Vol.25, No.1, 53– 76.
Han, S. -P. 1980. Least squares solution of linear inequalities, Tech. Rep. TR-2141, Mathematics Research Center, University of Wisconsin - Madison.
Hansen, P. C. & O’Leary D. P. 1993. The use of the L-curve in the regularization of discrete ill-posed problems, SIAM J. Sci. Comput., 14, 1487-1503.
Hansen, P. C. 1992. Regularization Tools, a Matlab Package for Analysis and Solution of Discrete Ill-posed Problems, Technical Report UNIC-92-03, Danish Computing Center for Research and Education, Technical University of Denmark, (Revised July 2007).
Popa, C. 1998. Extensions of block- projections methods with relaxation parameters to inconsistent and rank-defficient least-squares problems, B I T, 38(1), 151–176.
Popa, C. & Serban, C. 2014. Han- type algorithms for inconsistent systems of linear inequalities - a unifed approach, Applied Mathematics and Computation, Volume 246, ISSN: 0096-3003, DOI:10.1016/ j.amc.2014.08.018, 247–256
Yang, K. 1990. New iterative methods for linear inequalities, Tech. report 90-6, Department of Industrial and Operations Engineering, University of Michigan, USA
Citation note:
Carp D., Popa C., Şerban C.: Regularized Han-type Algorithms for Inconsistent Maritime Container Transportation Problems. TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 8, No. 4, doi:10.12716/1001.08.04.13, pp. 579-583, 2014

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