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https://doi.org/10.2478/v10006...
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Selected Multicriteria Shortest Path Problems: An Analysis of Complexity, Models and Adaptation of Standard Algorithms

Selected multicriteria shortest path problems: an analysis of complexity, models and adaptation of standard algorithms
descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2007 Poland Publisher:University of Zielona Góra, PolandJournal:International Journal of Applied Mathematics and Computer Science, volume 17, pages 269-287 (issn: 1641-876X, Copyright policy )
Authors: Tarapata, Zbigniew;

doi: 10.2478/v10006-007-0023-2

Selected Multicriteria Shortest Path Problems: An Analysis of Complexity, Models and Adaptation of Standard Algorithms

Abstract

Selected Multicriteria Shortest Path Problems: An Analysis of Complexity, Models and Adaptation of Standard AlgorithmsThe paper presents selected multicriteria (multiobjective) approaches to shortest path problems. A classification of multi-objective shortest path (MOSP) problems is given. Different models of MOSP problems are discussed in detail. Methods of solving the formulated optimization problems are presented. An analysis of the complexity of the presented methods and ways of adapting of classical algorithms for solving multiobjective shortest path problems are described. A comparison of the effectiveness of solving selected MOSP problems defined as mathematical programming problems (using the CPLEX 7.0 solver) and multi-weighted graph problems (using modified Dijkstra's algorithm) is given. Experimental results of using the presented methods for multicriteria path selection in a terrain-based grid network are given.

Country
Poland
Related Organizations
Keywords

terrain-based, Analysis of algorithms and problem complexity, Stochastic programming, Automated systems (robots, etc.) in control theory, 510, 004, terrain-based modeling, Applications of mathematical programming, Mathematical modelling of systems, multiobjective shortest path, stochastic shortest path, algorithm complexity, Stochastic systems in control theory (general), routing problem, approximation algorithm

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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 82
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
82
Top 10%
Top 10%
Top 10%
gold