Abstract
Four estimates of the duality gap are constructed for a continuous multiproduct optimum partition problem for a set in an n-dimensional euclidean space on a subset with unknown coordinates for the centers with constraints in the form of equalities and inequalities.
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REFERENCES
E. M. Kiseleva, “Mathematical methods and algorithms for solving continuous optimum set partition problems and their applications, ” Candidate's Dissertation Abstract in the Physical and Mathematical Sciences, 01.01.09, Dnepropetrovsk State University, Kiev (1991).
N. K. Vasil'eva, “Strong duality for a continuous model of optimum partition of sets, ” Visnik Dnipropetrovs'kogo Universitetu. Vip. 4. Fizika. Radioelektronika, Dnipropetrovsk State University, Dnipropetrovsk (1998), pp. 149–154.
E. Kiseleva andN. Vasiljeva, “On an estimate of duality gap in a continuous optimal set partitioning problem, ” in: Problems in Applied Mathematics and Mathematical Modelling (Pitannya Prikladnoi Matematiki ta Matematichnogo Modelyuvannya), Dnipropetrovsk State University, Dnipropetrovsk (1999), pp. 59–62.
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Kiseleva, E.M., Vasil'eva, N.K. Estimates of the Duality Gap for Optimum Partition Problems. Journal of Mathematical Sciences 107, 4491–4496 (2001). https://doi.org/10.1023/A:1012589424824
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DOI: https://doi.org/10.1023/A:1012589424824