Abstract
The chapter solves the problem of numerically predicting the parameters of a business process model (using the cost example) without using multi-pass simulation models. To solve this problem, an apparatus of stochastic GERT networks is used. The edge of the GERT network is associated with the operation of the business process, and the node of the GERT network is associated with the event or branching of the business process. An algorithm for translating a business process model into an equivalent GERT network is given, as well as calculating the parameters of the business process cost distribution law based on the resulting GERT network. The proposed approach allows us to solve the problems of predicting the dynamics of discrete-event models described in standard model notations (IDEF3, ARIS EPC) without using multi-pass simulation models.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
International Organization for Standardization: ISO 9001:2015 Quality management systems—Requirements. 0310070 Manag Syst (2015)
ISO/IEC 12207: Systems and Software Engineering— Software Life Cycle Processes (2008)
Tony, B., Nancy, B., Phil, V., Emmett, P., Dan, M., Marc, S., Denis, L., Gabrielle, F., Todd, L., Raju, S., Michael Fuller, J.F.: ABPMP CBOK Guide (2013)
Ishikawa, K.: What is Total Quality Control : The Japanese Way. New York (1981)
Imai, M.: Kaizen: The Key to Japan’s Competitive Success (1986)
Deming, W.E.: Out of the Crisis: Quality, Productivity and Competitive Position. Massachusetts Institute of Technology. Center for Advanced Engineering Study (1986). https://doi.org/10.1002/qre.4680020421
Propst, A.L., Deming, W.E.: The New Economics: For Industry. Technometrics, Government, Education (1996) https://doi.org/10.2307/1270625
Greenfield, T., Ackoff, R.L.: The Art of Problem Solving (Accompanied by Ackoff’s Fables). Stat (1979). https://doi.org/10.2307/2987880
Ackoff, R.L.: Re-creating the corporation (1999)
Nainani, B.: Closed loop BPM using standards based tools (2004)
Ord, K., Taha, H.A.: Operations research: an introduction. Oper Res Q (1972). https://doi.org/10.2307/3008276
Kerzner, H.: A systems approach to planning scheduling and controlling (20170
Pritsker, A.A.B.: GERT: Graphical Evaluation and Review Technique. RAND Corporation, Santa Monica, CA (1966)
(1982) Fundamentals of network analysis, by Don T. Phillips and Alberto Garcia-Diaz, Prentice Hall, Englewood Cliffs, NJ, 1981, 474 pp. Price: $26.90. Networks 12:209–210. https://doi.org/10.1002/net.3230120210
Neumann, K.: Stochastic Project Networks. Springer, Berlin Heidelberg, Berlin, Heidelberg (1990)
Koryachko, V., Shibanov, A., Shibanov, V., et al.: Hierarchic GERT networks for simulating systems with checkpoints. In: 2017 6th Mediterranean Conference on Embedded Computing (MECO), pp. 1–4. IEEE (2017)
Barjis, J., Dietz, J.L.G.: Business Process Modeling and Analysis Using Gert Networks. In: Enterprise Information Systems, pp. 71–80. Springer, Netherlands, Dordrecht (2000)
Aytulun, S.K., Guneri, A.F.: Business process modelling with stochastic networks. Int J Prod Res 46, 2743–2764 (2008). https://doi.org/10.1080/00207540701543601
Liu, X., Fang, Z., Zhang, N.: A value transfer GERT network model for carbon fiber industry chain based on input–output table. Cluster Comput 20, 2993–3001 (2017). https://doi.org/10.1007/s10586-017-0960-y
Ambika, S., Indhumathi, R., Mytherae, R., Spandana, R.: Application of Gert Analysis in Management. Int J Latest Eng Manag Res 03, 01–04 (2018)
Dorrer, M., Dorrer, A.: Forecasting e-Learning Processes Using GERT Models and Process Mining Tools. In: Solovev D., Savaley V., Bekker A. P V. (eds) Proceeding of the International Science and Technology Conference “FarEastC on 2019”. Smart Innovation, Systems and Technologies, pp. 857–866. Springer, Singapore (2020)
Zyryanov, A.A., Dorrer, M.G.: The algoritnm of business process model translation into the GERT-network model. Bull KrasGAU 13–18 (2012)
Golenko-Ginzburg, D.: Stochastic network models in innovative projecting. Science Book Publishing House, Yelm, WA, USA (2014)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Dorrer, M., Dorrer, A., Zyryanov, A. (2021). Numerical Modeling of Business Processes Using the Apparatus of GERT Networks. In: Kravets, A.G., Bolshakov, A.A., Shcherbakov, M. (eds) Society 5.0: Cyberspace for Advanced Human-Centered Society. Studies in Systems, Decision and Control, vol 333. Springer, Cham. https://doi.org/10.1007/978-3-030-63563-3_5
Download citation
DOI: https://doi.org/10.1007/978-3-030-63563-3_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-63562-6
Online ISBN: 978-3-030-63563-3
eBook Packages: EngineeringEngineering (R0)