Abstract. This article is devoted to the study of sufficient conditions for using the completeness or quasicompleteness properties in two-criteria discrete optimization problems with the same and different weight-type criteria. The authors evaluated the cardinalities of sets of acceptable solutions, the Pareto set, and a complete set of alternatives for several two-criteria problems.
Keywords: vector optimization, Pareto set, complete set of alternatives, complete problem, quasi-complete problem.
1 Zaporizhzhya National University, Zaporizhzhya, Ukraine,
e-mail: vitalijperepelica2@gmail.com
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2 Zaporizhzhya
National Technical University, Zaporizhzhya, Ukraine,
e-mail: elina_vt@ukr.net.