Modeling Resource Flows and Allocations in Systems with Parallel Structure

Dulat N. Shukayev, Ekaterina R. Kim, Malik D. Shukayev, Nasgul O. Ergalieva, and Askhat A. Mereke


Stochastic modeling, Numerical methods, Extension method, Optimal allocation problem


We propose an effective extension method for finding exact stable solutions for problems of optimal allocation of resource or data flows, in which the constraint matrix could be close to degenerate and the basic parameters of the problem could be uncertain. This study generalizes the extension method to a class of allocation problems with a non-linear objective function.

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