Skip to main content
Log in

Modeling and analysis of non-homogenous fabrication/assembly systems with multiple failure modes

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

This paper presents an approximate decomposition method for the performance evaluation of non-homogeneous fabrication/assembly (F/A) systems with multiple failure modes, finite buffers, and a fixed assembly proportion. First, we introduce a mixed flow combined with fund flow and material flow to convert an F/A system to a virtual transfer line. Then, we decompose the virtual transfer line into several two-machine lines and establish a continuous decomposition model. To tackle the new emerging characteristics of the F/A system, we propose an F/A decomposition algorithm (FADA) for solving this model and obtain the throughput and buffer level of the F/A system to evaluate system performance. Also, we demonstrate the validity of the proposed model and algorithm by comparing with the results of simulation-based method and completion time approximation (CTA)-based method. Finally, we analyze the impact of several key parameters, including failure rates, repair rates, and buffer capacities, on the performance of the F/A system. The results show that our analytical method outperforms the existing methods and can help production managers to evaluate the system performance, analyze the possible modifications, and further find the best performance improvement of such F/A systems.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Tao F, Zuo Y, Xu L, Zhang L (2014) IoT-based intelligent perception and access of manufacturing resource toward cloud manufacturing. IEEE Trans Ind Inf 10(2):1547–155731

    Article  Google Scholar 

  2. Wang J, Fan G, Yan F, Zhang Y (2016) Research on initiative scheduling mode for a physical internet-based manufacturing system. Int J Adv Manuf Technol 84(1–4):47–58

    Article  Google Scholar 

  3. Tao F, Cheng JF, Qi QL, Zhang M, Zhang H, Sui FY (2017) Digital twin driven product design, manufacturing and service with big data. Int J Adv Manuf Technol. doi:10.1007/s00170-017-0233-1

  4. Gershwin SB (1994) Manufacturing systems engineering. Prentice Hall, Englewood Cliffs

    MATH  Google Scholar 

  5. Li J, Meerkov SM (2008) Production systems engineering. Springer, Heidelberg

    MATH  Google Scholar 

  6. Levantesi R, Matta A, Tolio T (2000) Performance evaluation of assembly/disassembly systems with deterministic processing times and multiple failure modes. Special International Conference on Production Research

  7. Dallery Y, Le Bihan H (1997) Homogenisation techniques for the analysis of production lines with unreliable machines having different speeds. Eur J Control 3(3):200–215

    Article  MATH  Google Scholar 

  8. Dallery Y, David R, Xie XL (1989) Approximate analysis of transfer lines with unreliable machines and finite buffers. IEEE Trans Autom Control 34(9):943–953

    Article  MATH  Google Scholar 

  9. Gershwin SB, Berman O (1981) Analysis of transfer lines consisting of two unreliable machines with random processing times and finite storage buffers. AIIE Trans 13(1):2–11

    Article  Google Scholar 

  10. Tolio T, Matta A, Gershwin SB (2002) Analysis of two-machine lines with multiple failure modes. IIE Trans 34(1):51–62

    Google Scholar 

  11. Liu J, Yang S, Wu A, Hu SJ (2012) Multi-state throughput analysis of a two-stage manufacturing system with parallel unreliable machines and a finite buffer. Eur J Oper Res 219(2):296–304

    Article  MathSciNet  MATH  Google Scholar 

  12. Gershwin SB (1987) An efficient decomposition method for the approximate evaluation of tandem queues with finite storage space and blocking. Oper Res 35(2):291–305

    Article  MathSciNet  MATH  Google Scholar 

  13. Maggio N, Matta A, Gershwin SB, Tolio T (2009) A decomposition approximation for three-machine closed-loop production systems with unreliable machines, finite buffers and a fixed population. IIE Trans 41(6):562–574

    Article  Google Scholar 

  14. Gershwin SB, Burman MH (2000) A decomposition method for analyzing inhomogeneous assembly/disassembly systems. Ann Oper Res 93(1/4):91–115

    Article  MathSciNet  MATH  Google Scholar 

  15. Dallery Y, David R, Xie X (1988) An efficient algorithm for analysis of transfer lines with unreliable machines and finite buffers. IIE Trans 20(3):280–283

    Article  Google Scholar 

  16. Gershwin SB (1984) An efficient decomposition method for the approximate evaluation of production lines with finite storage space. Anal Optim Syst 63:645–658

    Article  MathSciNet  MATH  Google Scholar 

  17. Syrowicz D (1999) Decomposition analysis of a deterministic, multiple-part-type, multiple-failure-mode production line. Dissertation, Massachusetts Institute of Technology

  18. Burman MH (1995) New results in flow line analysis. Dissertation, Massachusetts Institute of Technology

  19. Rao PC, Suri R (2000) Performance analysis of an assembly station with input from multiple fabrication lines. Prod Oper Manag 9(3):283–302

    Article  Google Scholar 

  20. Belmansour A, Nourelfath M (2010) An aggregation method for performance evaluation of a tandem homogenous production line with machines having multiple failure modes. Reliab Eng Syst Saf 95(11):1193–1201

    Article  Google Scholar 

  21. Koster DR (1987) Estimation of line efficiency by aggregation. Int J Prod Res 25(4):615–625

    Article  Google Scholar 

  22. Lim JT, Meerkov SM, Top F (1990) Homogeneous, asymptotically reliable serial production lines: theory and a case study. IEEE Trans Autom Control 35(5):524–534

    Article  MathSciNet  MATH  Google Scholar 

  23. Le Bihan H, Dallery Y (2000) A robust decomposition method for the analysis of production lines with unreliable machines and finite buffers. Ann Oper Res 93(1/4):265–297

    Article  MathSciNet  MATH  Google Scholar 

  24. Le Bihan H, Yves D (1999) An improved decomposition method for the analysis of production lines with unreliable machines and finite buffers. Int J Prod Res 37(5):1093–1117

    Article  MATH  Google Scholar 

  25. Xia B, Zhou B, Chen C, Xi L (2016) A generalized-exponential decomposition method for the analysis of inhomogeneous assembly/disassembly systems with unreliable machines and finite buffers. J Intell Manuf 27(4):765–779

    Article  Google Scholar 

  26. Tolio T, Matta A, Jovane F (1998) A method for performance evaluation of automated flow lines. CIRP Ann Manuf Technol 47(1):373–376

    Article  Google Scholar 

  27. Levantesi R, Matta A, Tolio T (2003) Performance evaluation of continuous production lines with machines having different processing times and multiple failure modes. Perform Eval 51(2–4):247–268

    Article  MATH  Google Scholar 

  28. Gershwin SB (1991) Assembly/disassembly systems: an efficient decomposition algorithm for tree-structured networks. IIE Trans 23(4):302–314

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jun-Qiang Wang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, JQ., Yan, FY., Cui, PH. et al. Modeling and analysis of non-homogenous fabrication/assembly systems with multiple failure modes. Int J Adv Manuf Technol 94, 3309–3325 (2018). https://doi.org/10.1007/s00170-017-0785-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-017-0785-0

Keywords

Navigation