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Modelling enterprise networks: a master equation approach. (English) Zbl 1131.91386

Summary: We are interested in the problem of the mathematical modelling and simulation of groups of small enterprises. This is where a network of small enterprises is established in order to achieve a global objective. Each enterprise contributes to the network but keeps its own individual identity. Apart from having to model economic factors, we have to consider social phenomena and human factors which have an important influence on the dynamical evolution of the network. This paper is devoted to an approach for modelling the dynamical evolution of the social phenomena, based on a master equation approach and introducing nonlinear effects.

MSC:

91D99 Mathematical sociology (including anthropology)
82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics
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[1] B. Besombes, G. Mnemoi, Performance indicators and cooperation network in SME: An approach based on the Ecograi concept, in: Proceedings Management and Control of Production and Logistics (MCPL2000), Grenoble, France, 2000; B. Besombes, G. Mnemoi, Performance indicators and cooperation network in SME: An approach based on the Ecograi concept, in: Proceedings Management and Control of Production and Logistics (MCPL2000), Grenoble, France, 2000
[2] (Conte, R.; Hegselmann, R.; Terna, P., Simulating Social Phenomena (1997), Springer: Springer Berlin)
[3] (Gilbert, N.; Doran, J., Simulating Societies: The Computer Simulation of Social Phenomena (1994), UCL Press: UCL Press London)
[4] (Hegselmann, R.; Mueller, U.; Troitzsch, K. G., Modelling and Simulation in the Social Sciences from a Philosophy of Science Point of View (1996), Kluwer Academic Publishers: Kluwer Academic Publishers Dordrecht)
[5] Helbing, D., Quantitative Sociodynamics (1995), Kluwer Academic Publishers: Kluwer Academic Publishers Dordrecht · Zbl 0902.92030
[6] (Liebrand, W. B.G.; Nowak, A.; Hegselmann, R., Computer Modelling of Social Processes (1998), Sage: Sage Beverley Hills, CA)
[7] D.W. Pearson, Detection of pair interactions in group decision making, Mathematical and Computer Modelling, submitted; D.W. Pearson, Detection of pair interactions in group decision making, Mathematical and Computer Modelling, submitted
[8] D.W. Pearson, A fuzzy approach to sociodynamical interactions, in: International Conference on Artificial Neural Networks and Genetic Algorithms, Prague, pp. 122-125; D.W. Pearson, A fuzzy approach to sociodynamical interactions, in: International Conference on Artificial Neural Networks and Genetic Algorithms, Prague, pp. 122-125 · Zbl 1008.91104
[9] Weidlich, W.; Haag, G., Concepts and Models of a Quantitative Sociology (1983), Springer: Springer Berlin · Zbl 0503.92023
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