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},
}