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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 1979 Issue 5, Pages 104–113 (Mi at9451)

Developing Systems

A dual basic method for solving the problem of a minimal cost flux on a generalized network

O. I. Kostyukova

Minsk

Abstract: The paper is concerned with a generalized network $S$ where, unlike the conventional one, at the end of each arc $(i, j)$ there is a point with a parameter $\lambda_{ij}$ where the arc flux $x_{ij}$ is transformed into a flux $\lambda_{ij}x_{ij}$. On the network $S$ a flux î minimal cost is sought among all the fluxes. The problem is a network analog of the allocation problem. A dual solution method is suggested improbable by using bases.

UDC: 62-50


Received: 05.07.1978


 English version:
Automation and Remote Control, 1979, 40:5, 713–721

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