Universal Journal of Communications and Network(CEASE PUBLICATION) Vol. 2(6), pp. 101 - 105
DOI: 10.13189/ujcn.2014.020602
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On the Dynamic Flows in Networks

Erusalimskiy Iakov ^*
Institute of Mathematics, Mechanics and Computer Sciences, Sothern Federal University, Rostov-on- Don, 344006, Bolshaya Sadovaya 105, Russia

ABSTRACT

Considered dynamic network flows identically zero on the negative time axis. The concept of the frontal flow is introduced for such flow. The article contains the theorem about the decomposition of the dynamic flow on an arbitrary time interval on the sum of two flows, the first of which is equivalent to the original flow on the interval and equals to zero outside the interval, the second flow is equivalent to zero on the interval and coincides with the initial flow outside of the interval. The first is minimum flow which equals the original flow at a given time interval.

KEYWORDS
Network, Dynamic Flow, Partial Flow, Frontal Flow

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Erusalimskiy Iakov , "On the Dynamic Flows in Networks," Universal Journal of Communications and Network(CEASE PUBLICATION), Vol. 2, No. 6, pp. 101 - 105, 2014. DOI: 10.13189/ujcn.2014.020602.

(b). APA Format:
Erusalimskiy Iakov (2014). On the Dynamic Flows in Networks. Universal Journal of Communications and Network(CEASE PUBLICATION), 2(6), 101 - 105. DOI: 10.13189/ujcn.2014.020602.