Solving a continuous single-product problem of optimal partitioning with additional conditions

Journal of Automation and Information Sciences

Volumn 41, Issue 7, 2009, Pages 48-63

  Kiseleva, Elena M ^a   Kadochnikova, Ya E ^b  

^a OLES HONCHAR DNIPRO NATIONAL UNIVERSITY   (Ukraine)

^b DNIPROVSK STATE TECHNICAL UNIVERSITY   (Ukraine)

Author keywords

Infinite dimensional problem; Lebesgue measurable set; Nonsmooth optimization problem; Optimal partition; Shor algorithm

Indexed keywords

INFINITE-DIMENSIONAL PROBLEM; LEBESGUE MEASURABLE SET; NONSMOOTH OPTIMIZATION PROBLEM; OPTIMAL PARTITION; SHOR ALGORITHM;

ELASTIC MODULI; OPTIMIZATION;

SET THEORY;

EID: 70349263604     PISSN: 10642315     EISSN: None     Source Type: Journal    
DOI: 10.1615/JAutomatInfScien.v41.i7.30     Document Type: Article

References (7)

1. Kiseleva E.M., Shor N.Z., Continuous problems of optimal set partition: theory, algorithms, application [in Russian], Naukova dumka, Kiev, 2005.
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3. Yudin D.B., Problems and methods of stochastic programming [in Russian], Sovetskoye radio, Moscow, 1979.
4. Kiseleva E.M., Solution of one problem of optimal partition with allocation of subsets centers of gravity, Vychislitelnaya matematika i matematicheskaya fizika, 1989, 29, No.5, 709-722.
5. Demianov V.F., Vasiliev L.V., Nondifferentiable optimization [in Russian], Nauka, Moscow, 1981.
6. Shor N.Z., Minimization methods of nondifferentiable functions and their applications [in Russian], Naukova dumka, Kiev, 1979.
7. Problems of optimal designing reliable networks, Ed. by N.Z. Shor [in Russian], Naukova dumka, Kiev, 2005.