Generalised convolution algorithm for modelling state‐dependent systems. Issue 5 (1st September 2014)

• Record Type: Journal Article
• Authors: Kaliszan, Adam; Głąbowski, Mariusz; Stasiak, Maciej
• Is Part Of: IET circuits, devices & systems. Volume 8:Issue 5(2014)
• Page Start: 378
• Page End: 386
• Publication Date: 2014-09-01
• Subjects: convolution -- probability -- telecommunication services -- computational complexity; generalised convolution algorithm -- multiservice state-dependent systems -- blocking probability -- occupancy distribution -- modified convolution operation -- universal applicability -- analytical methods -- computational process -- parallelisation; Electronic circuits -- Periodicals; Electronic systems -- Periodicals; 621.381505
• DOI: 10.1049/iet-cds.2013.0479
• Languages: English
• ISSNs: 1751-858X

Abstract

Abstract : This study proposes a new method for calculations of the blocking probability in multiservice state‐dependent systems. In the method proposed in this study the occupancy distribution is determined on the basis of an appropriately modified convolution operation. This operation is of a universal applicability and provides an opportunity to model approximately any state‐dependent systems. The results of the calculations were compared with the results of the simulation experiments of some selected multiservice systems and with the results provided by other analytical methods that are available in the literature of the subject. The study has confirmed high accuracy of the proposed method. The effectiveness of the computational process carried out according to the proposed method can be significantly increased as a result of parallelisation of computation.