Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 2, pp. 209-224

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The nonuniform covering method is applied to multicriteria optimization problems. The $\varepsilon$-Pareto set is defined, and its properties are examined. An algorithm for constructing an $\varepsilon$-Pareto set with guaranteed accuracy $\varepsilon$ is described. The efficiency of implementing this approach is discussed, and numerical results are presented.
@article{ZVMMF_2013_53_2_a3,
     author = {Yu. G. Evtushenko and M. A. Posypkin},
     title = {Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {209--224},
     publisher = {mathdoc},
     volume = {53},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_2_a3/}
}
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Yu. G. Evtushenko; M. A. Posypkin. Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 2, pp. 209-224. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_2_a3/