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Stochastic integral equations applied to telecommunications traffic without delay

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  • Le Gall, P.

Abstract

Modern telecommunication techniques case the problem of traffic handling in the framework of fairly general networks, as applied to traffic without delay but with virtually arbitrary service-time distributions. In this paper we use stochastic integral equations to deal with the case involving the most general input process and lost calls. For this purpose, Fortet's equation, unsolved so far in the general case, is solved to analyze the single trunk group model. The stationary case is then treated as a special case. Finally we study networks which satisfy a certain assumption of symmetry. The same general stochastic assumptions are maintained throughout the paper.

Suggested Citation

  • Le Gall, P., 1974. "Stochastic integral equations applied to telecommunications traffic without delay," Stochastic Processes and their Applications, Elsevier, vol. 2(3), pages 261-280, July.
    • Handle: RePEc:eee:spapps:v:2:y:1974:i:3:p:261-280
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