The Multiobjective Bottleneck Transportation Problem (bibtex)

by Alhazov, Artiom and Tkachenko, Alexandra

Abstract:

In this paper we give the solution methods for a multicriterial transportation problem of a nonlinear type. We would like to note that the problems of this type do not have any classical solution algorithms. The article consists of two parts dealing with 2 and 3 objective respectively, one being non-lienar of â€œbottleneckâ€? type, and the rest being linear ones. Definitions of efficent and extreme efficient solutions are introduced and a separate solution algorithms for these models are described. The correctness theorems for the algorithms are proved. Examples solved by the computer programs implementing the algorithms are included.

Reference:

The Multiobjective Bottleneck Transportation Problem (Alhazov, Artiom and Tkachenko, Alexandra), In The Computer Science Journal of Moldova, Institute of Mathematics and Computer Science, ChiÅŸinÄƒu, Moldova, volume 9, 2001.

Bibtex Entry:

@Article{j80, author = {Alhazov, Artiom AND Tkachenko, Alexandra}, title = {The Multiobjective Bottleneck Transportation Problem}, journal = {The Computer Science Journal of Moldova}, year = {2001}, volume = {9}, number = {3 (27)}, pages = {321-335}, abstract = {In this paper we give the solution methods for a multicriterial transportation problem of a nonlinear type. We would like to note that the problems of this type do not have any classical solution algorithms. The article consists of two parts dealing with 2 and 3 objective respectively, one being non-lienar of â€œbottleneckâ€? type, and the rest being linear ones. Definitions of efficent and extreme efficient solutions are introduced and a separate solution algorithms for these models are described. The correctness theorems for the algorithms are proved. Examples solved by the computer programs implementing the algorithms are included.}, file = {TA2001b.pdf:pdfs/TA2001b.pdf:PDF}, keywords = {efficient solution, efficient plan, â€œbottleneckâ€? transportation problem, extreme efficient solution, the bottleneck model}, publisher = {Institute of Mathematics and Computer Science, ChiÅŸinÄƒu, Moldova}, }

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