CARRYING CAPACITY AND TRANSIT DELAY CALCULATION WHEN TRANSMITTING VIA THE LINES OF TELECOMMUNICATION NETWORKS

Bohdan Y. Zhurakovskyi, Larysa O. Komarova, Oleh V. Kopiika

Abstract


Engineering methodology of determination of carrying capacity of telecommunication network line is offered in this article. The engineering synthesis variant of telecommunication network, which is the combined process of combining mathematical and heuristic methods, was offered in the article. The engineering synthesis is offered vectorial and global because it should end by network development, optimum from the point of view of its practical application. The all significant network performance indicators including economic and constructive were taken into account.

When engineering synthesis may not be such a situation that there only one significant indicator of quality: there will always be at least two major indicators – the price and indicator which characterizes the main effect achieved when applying network (efficiency). If not be counted at least one essential quality indicators for the practical application the network cannot be optimal. The telecommunication network synthesis usually consists of the structure synthesis, parameters optimization and discrete network choice. If the topology of network is not change, it is possible to set forth the optimization task of line carrying capacity. The carrying capacity task solution, which is constantly changing, can be as the starting point for selecting discrete values of carrying capacity.

The relation for the full cost and line characteristics, which are linear was given. The formula of middle delay for i-line is developed. It is set by queuing delay. On the basis of the average delay the similar average value is calculated for the number of passing known package through the some line during his transit movements. Carrying capacities that minimize delay time at the permanent line cost and define by the Lagrange multiplier method were calculated. The carrying capacity of the line in relation to the traffic transmission in the i-line in the satiation mode (clean carrying capacity) was defined. The formula for calculating the size of effective transit delay when transmission by the lines with the certain carrying capacity was given.


Keywords


engineering methodology; optimization; carrying capacity; time of delay; transit delay

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