Title: Bond-graphs and hyper-graphs in system of systems modelling

Authors: Ibtissam Abdesselam; Hafid Haffaf; Belkacem Ould-Bouamama

Addresses: Department of Informatics, University of Oran 1 Ahmed Ben Bella, Algeria ' Department of Informatics, University of Oran 1 Ahmed Ben Bella, Algeria ' CRIStAL, UMR CNRS 9189, Université de Lille-Sciences et Technologies, France

Abstract: After being considered as an appropriate tool for system of systems (SoS) organisation into several levels, hyper-graph is becoming more indicated for any modelling aspect. In this paper, we propose to use a unique hyper-graph methodology to represent basically organisational, functional as well as behavioural SoS modelling. In the first part, we develop a method based on a bond-graph model for generating a behavioural hyper-graph. In the second part, a functional hyper-graph model depends on the delivered services by the system components has been proposed. This latter consists of two kinds of hyper-edges: full-line hyper-edge which is called AND hyper-edge and dotted-line hyper-edge (or hyper-edge). Therefore, for showing the impact of our approach, the different SoS modelling aspects have been illustrated through a pedagogical example taken from an industrial application.

Keywords: system of systems; SoS modelling; hypergraphs; bond graphs; behavioural modelling; functional modelling; organisational modelling; hyper-edges.

DOI: 10.1504/IJSSE.2016.080324

International Journal of System of Systems Engineering, 2016 Vol.7 No.4, pp.313 - 338

Received: 22 Aug 2015
Accepted: 08 Jun 2016
Published online: 14 Nov 2016 *

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