Geodesic
The reduction of the Pareto set of a special structure in bicriteria discrete problems
Diskretnyj analiz i issledovanie operacij, Tome 28 (2021) no. 4, pp. 90-116

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We investigate bicriteria discrete optimization problems in the context of the axiomatic approach of the Pareto set reduction. The degree of the reduction with respect to values of the coefficient of compromise is evaluated for special structures and general case of the Pareto set. The results are applied to the set covering problem and vehicle routing problems. Illustr. 4, bibliogr. 19.
Keywords: discrete optimization, bicriteria problem, the Pareto set reduction, preference relation of the decision maker. 
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     author = {A. O. Zakharov and Yu. V. Kovalenko},
     title = {The reduction of the {Pareto} set of a special structure in bicriteria discrete problems},
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     publisher = {mathdoc},
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     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DA_2021_28_4_a3/}
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A. O. Zakharov; Yu. V. Kovalenko. The reduction of the Pareto set of a special structure in bicriteria discrete problems. Diskretnyj analiz i issledovanie operacij, Tome 28 (2021) no. 4, pp. 90-116. http://geodesic.mathdoc.fr/item/DA_2021_28_4_a3/