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“…Next, we present an algorithm for solving Problem C, which is based on Theorem 3.1. Two parts of this algorithm are: a) due to non-differentiability of function G 2 (τ I , ψ)), it is one of the versions of the Shor's r-algorithm -the generalized pseudo-gradients method [5,6] used to numerically solve the dual problem (12), (13); b) and the potential method [17] used to solve problem (14) - (18) of finding a component v * of an optimal solution of Problem C.…”
Section: Theorem 21 a Component λ * (•)mentioning
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“…Next, we present an algorithm for solving Problem C, which is based on Theorem 3.1. Two parts of this algorithm are: a) due to non-differentiability of function G 2 (τ I , ψ)), it is one of the versions of the Shor's r-algorithm -the generalized pseudo-gradients method [5,6] used to numerically solve the dual problem (12), (13); b) and the potential method [17] used to solve problem (14) - (18) of finding a component v * of an optimal solution of Problem C.…”
Section: Theorem 21 a Component λ * (•)mentioning
“…Production volumes at these points are apriori unknown and are searched as a solution to the corresponding continuous problem of optimal setpartitioning into subsets with a placement (finding of optimal coordinates) of the subsets' centers. A simpler twostage continuous-discrete optimal partitioning-allocation problem with given positions of the subsets' centers was presented in [18]. On the other hand, the continuousdiscrete partitioning-allocation problem generalizes discrete two-stage production-transportation problems [19][20][21][22][23] for the case of continuously allocated consumers.…”
Section: Introductionmentioning
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