# Selected multicriteria shortest path problems: an analysis of complexity, models and adaptation of standard algorithms

International Journal of Applied Mathematics and Computer Science (2007)

- Volume: 17, Issue: 2, page 269-287
- ISSN: 1641-876X

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topTarapata, Zbigniew. "Selected multicriteria shortest path problems: an analysis of complexity, models and adaptation of standard algorithms." International Journal of Applied Mathematics and Computer Science 17.2 (2007): 269-287. <http://eudml.org/doc/207836>.

@article{Tarapata2007,

abstract = {The 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.},

author = {Tarapata, Zbigniew},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {stochastic shortest path; routing problem; algorithm complexity; multiobjective shortest path; approximation algorithm; terrain-based modeling},

language = {eng},

number = {2},

pages = {269-287},

title = {Selected multicriteria shortest path problems: an analysis of complexity, models and adaptation of standard algorithms},

url = {http://eudml.org/doc/207836},

volume = {17},

year = {2007},

}

TY - JOUR

AU - Tarapata, Zbigniew

TI - Selected multicriteria shortest path problems: an analysis of complexity, models and adaptation of standard algorithms

JO - International Journal of Applied Mathematics and Computer Science

PY - 2007

VL - 17

IS - 2

SP - 269

EP - 287

AB - The 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.

LA - eng

KW - stochastic shortest path; routing problem; algorithm complexity; multiobjective shortest path; approximation algorithm; terrain-based modeling

UR - http://eudml.org/doc/207836

ER -

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