Skip to main content
SpringerLink
Log in

Chaotic Perspective on a Novel Supply Chain Model and Its Synchronization

  • Conference paper
  • First Online:
Advances in Intelligent Manufacturing and Service System Informatics (IMSS 2023)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

  • 346 Accesses

Abstract

Today, scarce resources or many unpredictable factors such as demand have increased the importance of the supply chain. The motivation of this study is the need for the design and analysis of the dynamic supply chain model that will shed light on the companies. In the study, four different dynamic nonlinear supply chain models, which will be an example for companies to reveal their structures, are summarized and a new chaotic supply chain dynamic model developed for citrus production from perishable products, which has not yet been studied in the literature, is presented. The chaotic structure of this new model is demonstrated with time series, phase portraits, bifurcation diagrams, and Lyapunov exponents. In addition, with the active control technique, in which control parameters are added to all the equations of the supply chain system, the chaotic structure of the system was brought under control and synchronous operation was ensured with a different system. Thus, the production amount, demand, and stock data, which are the supply chain status variables of a company’s factories in a different area, can have similar values with an error close to zero.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. Sarimveis, H., Patrinos, P., Tarantilis, C.D., Kiranoudis, C.T.: Dynamic modeling and control of supply chain systems: A review. Comput. Oper. Res. 35, 3530–3561 (2008)

    Article  MATH  Google Scholar 

  2. Agiza, H.N., Elsadany, A.A.: Chaotic dynamics in nonlinear duopoly game with heterogeneous players. Appl. Math. Comput. 149(3), 843–860 (2004). https://doi.org/10.1016/S0096-3003(03)00190-5

    Article  MathSciNet  MATH  Google Scholar 

  3. Simon, H.A.: On the application of servomechanism theory to the study of production control. Econometrica 20, 247–268 (1952)

    Article  MathSciNet  MATH  Google Scholar 

  4. Vassian, H.J.: Application of discrete variable servo theory to inventory control. Oper. Res. 3, 272–282 (1955)

    MATH  Google Scholar 

  5. Towill, D.R.: Optimization of an inventory system and order based control system. Int. J. Prod. Res. 20, 671–687 (1982)

    Article  Google Scholar 

  6. Blanchini, F., Rinaldi, F., Ukovich, W.: A network design problem for a distribution system with uncertain demands. SIAM J. Optim. 7, 560–578 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  7. Blanchini, F., Miani, S., Pesenti, R., Rinaldi, F., Ukovich, W.: Robust control of production-distribution systems. In: Moheimani, S.O.R., (ed.), Perspectives in Robust Control, Lecture Notes in Control and Information Sciences, n. 268. Springer, Berlin, pp. 13–28 (2001). https://doi.org/10.1007/BFb0110611

  8. Das, S.K., Abdel-Malek, L.: Modeling the flexibility of order quantities and lead-times in supply chains. Int. J. Prod. Econ. 85, 171–181 (2003)

    Article  Google Scholar 

  9. Kumara, S.R.T., Ranjan, P., Surana, A., Narayanan, V.: Decision making in logistics: A chaos theory based approach. CIRP Ann. 52(1), 381–384 (2003). https://doi.org/10.1016/S0007-8506(07)60606-4

    Article  Google Scholar 

  10. Lin, P.-H., Wong, D.S.-H., Jang, S.-S., Shieh, S.-S., Chu, J.-Z.: Controller design and reduction of bullwhip for a model supply chain system using z-transform analysis. J. Process Control 14, 487–499 (2004)

    Article  Google Scholar 

  11. Gallego, G., van Ryzin, G.: Optimal dynamic pricing of inventories with stochastic demand over finite horizons. Manage. Sci. 40(8), 999–1020 (1994)

    Article  MATH  Google Scholar 

  12. Zhang, L., Li, Y.J., Xu, Y.Q.: Chaos synchronization of bullwhip effect in a supply chain. In: ICMSE 2006, International Conference on Management Science and Engineering, pp.557–560 (2006)

    Google Scholar 

  13. Anne, K.R., Chedjou, J.C., Kyamakya, K.: Bifurcation analysis and synchronization issues in a three-echelon supply chain. Int. J. Log. Res. Appl. 12(5), 347–362 (2009). https://doi.org/10.1080/13675560903181527

    Article  Google Scholar 

  14. Dong, M.A.: Research on supply chain models and its dynamical character based on complex system view. J. Appl. Sci. 14(9), 932–937 (2014)

    Article  Google Scholar 

  15. Mondal, S.: A new supply chain model and its synchronization behaviour. Chaos Solitons Fractals 123, 140–148 (2019)

    Article  MathSciNet  MATH  Google Scholar 

  16. Larsen, E.R., Morecroft, J.D.V., Thomsen, J.S.: Complex behaviour in a production-distribution model. Eur. J. Oper. Res. 119, 61–74 (1999)

    Article  MATH  Google Scholar 

  17. Wu, Y., Zhang, D.Z.: Demand fluctuation and chaotic behaviour by interaction between customers and suppliers. Int. J. Prod. Econ. 107, 250–259 (2007)

    Article  Google Scholar 

  18. Açıkgöz, N.: Chaotic Structure and Control of Supply Chain Management: A Model Proposed for Perishable Products. Sakarya University, Doctoral Thesis (2021)

    Google Scholar 

  19. Zhang, G., Habenicht, W., Spieß, W.: Improving the structure of deep frozen and chilled food chain with tabu search procedure. J. Food Eng. 60(1), 67–79 (2003). https://doi.org/10.1016/S0260-8774(03)00019-0

    Article  Google Scholar 

  20. Lowe, T.J., Preckel, P.V.: Decision technologies for agribusiness problems: a brief review of selected literature and a call for research. Manuf. Serv. Oper. Manag. 6(3), 201–208 (2004). https://doi.org/10.1287/msom.1040.0051

    Article  Google Scholar 

  21. Rong, A., Akkerman, R., Grunow, M.: An optimization approach for managing fresh food quality throughout the supply chain. Int. J. Prod. Econ. 131(1), 421–429 (2011). https://doi.org/10.1016/j.ijpe.2009.11.026

    Article  Google Scholar 

  22. Önal, M., Yenipazarli, A., Kundakcioglu, O.E.: A mathematical model for perishable products with price-and displayed-stock-dependent demand. Comput. Ind. Eng. 102, 246–258 (2016). https://doi.org/10.1016/j.cie.2016.11.002

    Article  Google Scholar 

  23. Gerbecks, W.T.M.: A model for deciding on the supply chain structure of the perishable products assortment of an online supermarket with unmanned automated pick-up points. Master Thesis, BSc Industrial Engineering - Eindhoven University of Technology (2012)

    Google Scholar 

  24. Campuzano-Bolarín, F., Mula, J., Díaz-Madroñero, M.: A supply chain dynamics model for managing perishable products under different e-business scenarios. In: 2015 International Conference on Industrial Engineering and Systems Management (IESM). Seville, Spain, pp. 329–337 (2015). https://doi.org/10.1109/IESM.2015.7380179

  25. Yu, M., Nagurney, A.: Competitive food supply chain networks with application to fresh produce. Eur. J. Oper. Res. 224(2), 273–282 (2013). https://doi.org/10.1016/j.ejor.2012.07.033

    Article  MathSciNet  MATH  Google Scholar 

  26. Wang, W.: Analysis of bullwhip effects in perishable product supply chain-based on system dynamics model. In: 2011 Fourth International Conference on Intelligent Computation Technology and Automation, pp. 1018-1021 (2011). https://doi.org/10.1109/ICICTA.2011.255

  27. Kaya, O.: Kısa ömürlü ürünler için koordineli bir stok ve fiyat yönetimi model. Anadolu Univ. J. Sci. Technol. A- Appl. Sci. Eng. 17(2), 423–437 (2016). https://doi.org/10.18038/btda.00617

    Article  Google Scholar 

  28. Yang, S., Xiao, Y., Kuo, Y.-H.: The supply chain design for perishable food with stochastic demand. Sustainability 9, 1195 (2017). https://doi.org/10.3390/su9071195

    Article  Google Scholar 

  29. Shin, K., Hammond, J.K.: The instantaneous Lyapunov exponent and its application to chaotic dynamical systems. J. Sound Vib. 218(3), 389–403 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  30. Wolf, A., Swift, J.B., Swinney, H.L., Vastano, J.A.: Determining lyapunov exponents from a time series. Physica D 16, 285–317 (1985). https://doi.org/10.1016/0167-2789(85)90011-9

    Article  MathSciNet  MATH  Google Scholar 

  31. Van Opstall, M.: Quantifying chaos in dynamical systems with Lyapunov exponents. Furman Univ. Electron. J. Undergraduate Math. 4(1), 1–8 (1998)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Public Relations and Publicity, Vocational School of Mersin University, Mersin, Turkey

    Neslihan Açıkgöz

  2. Department of Industrial Engineering, Faculty of Engineering, Sakarya University, Sakarya, Turkey

    Gültekin Çağıl

  3. Department of Electrical Electronics Engineering, Faculty of Engineering, Sakarya University, Sakarya, Turkey

    Yılmaz Uyaroğlu

Authors
  1. Neslihan Açıkgöz
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gültekin Çağıl
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yılmaz Uyaroğlu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Neslihan Açıkgöz .

Editor information

Editors and Affiliations

  1. Istanbul Medipol University, Istanbul, Türkiye

    Zekâi Şen

  2. Department of Industrial Engineering, Sakarya University, Serdivan, Sakarya, Türkiye

    Özer Uygun

  3. Faculty of Applied Sciences, Sakarya University of Applied Sciences, Kaynarca, Sakarya, Türkiye

    Caner Erden

Rights and permissions

Reprints and permissions

Copyright information

© 2024 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Açıkgöz, N., Çağıl, G., Uyaroğlu, Y. (2024). Chaotic Perspective on a Novel Supply Chain Model and Its Synchronization. In: Şen, Z., Uygun, Ö., Erden, C. (eds) Advances in Intelligent Manufacturing and Service System Informatics. IMSS 2023. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-99-6062-0_53

Download citation

  • DOI: https://doi.org/10.1007/978-981-99-6062-0_53

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-6061-3

  • Online ISBN: 978-981-99-6062-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation