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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Article
On a Multi-criterion Problem of Planning Maritime Cargo Transportation
Author(s)
Ruslans Aleksejevs1, Raufs Guseinovs2, Alexander N. Medvedev3 and Sharif E. Guseynov4
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DOI:10.17265/2328-2142/2017.03.002
Affiliation(s)
1. Riga State Gymnasium No. 1, 8 Raina Boulevard, Riga LV-1050, Latvia;
2. Faculty of Humanities, Leiden University, Rapenburg 70, 2311 EZ Leiden, the Netherlands;
3. Department of Aviation Transport, Transport and Telecommunication Institute, 1 Lomonosov Street, Riga LV-1019, Latvia;
4. Institute of Fundamental Science and Innovative Technologies, Liepaja University, 14 Liela Street, Liepaja LV-3401, Latvia
ABSTRACT
In this work, we consider a
specific problem of optimal planning of maritime transportation of multiproduct
cargo by ships of one (so-called “corporate strategy”) or several
(so-called “partially corporate
strategy”) companies: the core
of the problem consists of the existence of the network of intermediate
seaports (i.e., transitional
seaports), where for every ship arrived the cargo handling is done, and which
are situated between the starting and the finishing seaports. In this work,
there are mathematical models built from scratch in the form of multi-criterion optimization
problem; according to the properties of the criteria and structure of the
feasible solution set; are formulated different optimality conditions; are
analysed different approaches for finding effective solutions (i.e., Pareto optimal
solutions) and for check of the given solutions’ effectiveness. In addition, in this work, there is considered and
analysed well-known method of contraction of the Pareto boundary (goal
attainment method of Gembicki), then, it is used for reducing the built models to a one-criterion
problem of linear programming.
KEYWORDS
Marine cargo transportation, mathematical modeling, multi-criterion optimization, ill-posedness.
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