Google matrix of business process management |
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Authors: | M W Abel D L Shepelyansky |
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Institution: | 1.Department of Physics and Astronomy,Potsdam University,Potsdam-Golm,Germany;2.Laboratoire de Physique Théorique du CNRS, IRSAMC,Université de Toulouse, UPS,Toulouse,France |
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Abstract: | Development of efficient business process models and determination of their
characteristic properties are subject of intense interdisciplinary research. Here, we
consider a business process model as a directed graph. Its nodes correspond to the units
identified by the modeler and the link direction indicates the causal dependencies between
units. It is of primary interest to obtain the stationary flow on such a directed graph,
which corresponds to the steady-state of a firm during the business process. Following the
ideas developed recently for the World Wide Web, we construct the Google matrix for our
business process model and analyze its spectral properties. The importance of nodes is
characterized by PageRank and recently proposed CheiRank and 2DRank, respectively. The
results show that this two-dimensional ranking gives a significant information about the
influence and communication properties of business model units. We argue that the Google
matrix method, described here, provides a new efficient tool helping companies to make
their decisions on how to evolve in the exceedingly dynamic global market. |
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