Skip to main content

Abstract

A Flexible Manufacturing Cell (FMC) is a system that consists of computer-integrated machines, automatic material handling systems, and robots. It produces different part types with minimal worker involvement. Many different methods, such as queuing systems and simulation models, have been applied in FMC modeling in the literature. This study aims to use Petri Nets (PN) in modelling complex FMCs. The study is carried out in the FMC located in the Advanced Manufacturing Systems Laboratory of Baskent University. The FMC consists of a CNC machining center, a material handling robot and a pallet, which has three work-piece carriage capacities. Processing times of FMC elements may vary due to reasons (the power usage performance, air supply efficiency, electrical power efficiency, etc.) arising from the mechanical structure of the system. This uncertainty needs to be taken into account when modeling the system. In this study, the uncertain (fuzzy) processing times associated with the transitions were caused by the mechanical structure of the system. In order to compare with the newly developed fuzzy models, the system was first modeled using Transition Time Petri Nets (TTPN), in which the running times associated with the transition times take precise values. On the other hand, for handling fuzzy values of the actual operating times in the FMC, two models namely, Partial-Fuzzy Transition Time Petri Nets (Partial-FTTPN) and Fuzzy Transition Time Petri Nets (FTTPN) are developed. The results of the three models are compared to analyze the benefits of combining “time uncertainties” resulting from the natural behavior of FMCs.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Başak, Ö., Albayrak, Y.E.: Petri net based decision system modeling in real-time scheduling and control of flexible automotive manufacturing systems. Comput. Ind. Eng. 86, 116–126 (2015)

    Article  Google Scholar 

  2. Blaga, F., Pop, A., et al.: The efficiency of modeling and simulation of manufacturing systems using petri nets. IOP Conf. Ser.: Mater. Sci. Eng. 1169(1), 012005 (2021)

    Google Scholar 

  3. Bohez, E.L.: A new generic timed petri net model for design and performance analysis of a dual Kanban FMS. Int. J. Prod. Res. 42(4), 719–740 (2004)

    Article  Google Scholar 

  4. Cao, R., Hao, L., et al.: Modelling and analysis of hybrid stochastic timed petri net. J. Control Decis. 6(2), 90–110 (2019)

    Article  MathSciNet  Google Scholar 

  5. Chen, S.J., Hwang, C.L.: Fuzzy Multiple Attribute Decision Making Methods. LNE, vol. 375, pp. 395–406. Springer, Heidelberg (1992). https://doi.org/10.1007/978-3-642-46768-4

  6. DiCesare, F., Harhalakis, G., et al.: Practice of Petri Nets in Manufacturing. Springer, Dordrecht (1993). https://doi.org/10.1007/978-94-011-6955-4

  7. Huang, B., Zhou, M.: Symbolic scheduling of robotic cellular manufacturing systems with timed petri nets. IEEE Trans. Control Syst. Technol. 1–7 (2022). https://doi.org/10.1109/TCST.2021.3123963

  8. Liu, F., Zhang, H.: A class of extended time petri nets for modeling and simulation of discrete event systems. Simulation 94(8), 753–762 (2018)

    Article  Google Scholar 

  9. Murata, T.: Temporal uncertainty and fuzzy-timing high-level Petri nets. In: Billington, J., Reisig, W. (eds.) ICATPN 1996. LNCS, vol. 1091, pp. 11–28. Springer, Heidelberg (1996). https://doi.org/10.1007/3-540-61363-3_2

    Chapter  MATH  Google Scholar 

  10. Nabi, H.Z., Aized, T.: Modeling and analysis of carousel-based mixed-model flexible manufacturing system using colored petri net. Adv. Mech. Eng. 11(12), 1–14 (2019)

    Article  Google Scholar 

  11. Nabi, H.Z., Aized, T.: Performance evaluation of a carousel configured multiple products flexible manufacturing system using petri net. Oper. Manag. Res. 13(1), 109–129 (2020)

    Article  Google Scholar 

  12. Özpeynirci, S.: A heuristic approach based on time-indexed modelling for scheduling and tool loading in flexible manufacturing systems. Int. J. Adv. Manuf. Technol. 77(5), 1269–1274 (2015)

    Article  Google Scholar 

  13. Petri, C.: Kommunikation mit automation. Technische Universität Darmstadt (1962)

    Google Scholar 

  14. Shah, S.A., Bohez, E.L., et al.: Colored petri net model for significant reduction of invariants in flexible manufacturing systems. Int. J. Adv. Manuf. Technol. 88(5), 1775–1787 (2017)

    Article  Google Scholar 

  15. Simon, E., Oyekan, J., et al.: Adapting petri nets to discrete event simulation for the stochastic modelling of manufacturing systems. Int. J. Simul. Model. 17(1), 5–17 (2018)

    Article  Google Scholar 

  16. Slomp, J.: The design and operation of flexible manufacturing shops. In: Artiba, A., Elmaghraby, S.E. (eds.) The Planning and Scheduling of Production Systems, pp. 199–226. Springer, Boston (1997). https://doi.org/10.1007/978-1-4613-1195-9_7

  17. Tüysüz, F.: Petri ağları ile imalat sistemlerinin modellenmesi ve analizinde yeni bir yaklaşım (2010)

    Google Scholar 

  18. Tüysüz, F., Kahraman, C.: Modeling a flexible manufacturing cell using stochastic petri nets with fuzzy parameters. Expert Syst. Appl. 37(5), 3910–3920 (2010)

    Article  Google Scholar 

  19. Uzam, M.: Petri-net-based supervisory control of discrete event systems and their ladder logic diagram implementations (1998)

    Google Scholar 

  20. Zadeh, L.A.: Information and control. Fuzzy Sets 8(3), 338–353 (1965)

    Google Scholar 

  21. Zhou, M., DiCesare, F.: Petri Net Synthesis for Discrete Event Control of Manufacturing Systems, vol. 204. Springer Science & Business Media (2012)

    Google Scholar 

  22. Zhou, M., Venkatesh, K.: Modeling, Simulation, and Control of Flexible Manufacturing Systems: A Petri Net Approach. Series in Intelligent Control and Intelligent Automation, vol. 6. World Scientific World Scientific Publishing Co., Singapore (1999). https://doi.org/10.1142/3376

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fatima Busra Bulca .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Bulca, F.B., Ic, Y.T., Yurdakul, M. (2022). The Use of Petri Nets in Performance Analysis of Flexible Manufacturing Cell. In: Xu, J., Altiparmak, F., Hassan, M.H.A., García Márquez, F.P., Hajiyev, A. (eds) Proceedings of the Sixteenth International Conference on Management Science and Engineering Management – Volume 1. ICMSEM 2022. Lecture Notes on Data Engineering and Communications Technologies, vol 144. Springer, Cham. https://doi.org/10.1007/978-3-031-10388-9_50

Download citation

Publish with us

Policies and ethics