Skip to main content
SpringerLink
Log in

Reliability and condition-based maintenance for multi-stent systems with stochastic-dependent competing risk processes

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

Abstract

In this paper, we develop reliability and condition-based maintenance models for a multi-component system of stents implanted in human arteries that is subject to both delayed and instantaneous failures. Considering the physics of failure and probability of failure, we develop a system-level reliability model and maintenance strategy by merging fracture mechanics and stochastic process approaches. In our new system-level reliability model, due to the exposure of stents to the same shocks, the component failure times are probabilistically dependent. Two patient groups with different activity levels are considered, and their corresponding system-level reliability functions are derived. We further develop a new condition-based maintenance policy, in which the replacement is either a preventive or corrective action performed depending on the condition of the system. Numerical examples using data from the literature are presented to analyze the reliability of implanted multi-stent systems and investigate the effectiveness of the proposed condition-based maintenance policy.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Allie DE, Hebert CJ, Walker CM (2004) Nitinol stent fractures in the SFA. Endovasc Today 7:22–34

    Google Scholar 

  2. Amico F, Geraci S, Tamburino C (2013) Acute coronary syndrome Due to early multiple and complete fractures in sirolimus-eluting stent: a case report and brief literature review. Catheter Cardiovasc Interv 81(1):52–56

    Article  Google Scholar 

  3. Arab A, Keedy E, Feng Q, Song S, Coit DW (2013) Reliability analysis for implanted multi-stent systems with stochastic dependent competing risk processes. Proceedings of Industrial and Systems Engineering Research Conference, San Juan, Puerto Rico, 18-22 May 2013

  4. Ayuso JR, de Caralt TM, Pages M, Riambau V, Ayuso C, Sanchez M, Real MI, Montaña X (2004) MRA is useful as a follow-up technique after endovascular repair of aortic aneurysms with nitinol endoprostheses. J Magn Reson Imaging 20:803–810

    Article  Google Scholar 

  5. Cho DI, Parlar M (1991) A survey of maintenance models for multi-unit systems. Eur J Oper Res 51(1):1–23

    Article  Google Scholar 

  6. Daly S, Miller A, Ravichandran G, Bhattacharya K (2007) An experimental investigation of crack initiation in thin sheets of nitinol. Acta Mater 55(18):6322–6330

    Article  Google Scholar 

  7. Dekker R, Wildeman RE, Duyn Schouten FA (1997) A review of multi-component maintenance models with economic dependence. Math Meth Oper Res 45(3):411–435

    Article  MATH  Google Scholar 

  8. Ferreira M, Lanziotti L, Monteiro M, Abuhadba G, Capotorto LF, Nolte L, Fearnot N (2007) Superficial femoral artery recanalization with self-expanding nitinol stents: long-term follow-up results. Eur J Vasc Endovasc Surg 34(6):702–708

    Article  Google Scholar 

  9. Keedy E, Feng Q (2012) A physics-of-failure based reliability and maintenance modeling framework for stent deployment and operation. Reliab Eng Syst Saf 103:94–101

    Article  Google Scholar 

  10. Keedy E, Feng Q (2013) Reliability analysis and customized preventive maintenance policies for stents with stochastic dependent competing risk processes. IEEE Trans Reliab 62(4):887–897

    Article  Google Scholar 

  11. Lagarias JC, Reeds JA, Wright MH, Wright PE (1998) Convergence properties of the Nelder-Mead simplex method in low dimensions. SIAM J Optim 9(1):112–147

    Article  MathSciNet  MATH  Google Scholar 

  12. Marrey RV, Burgermeister R, Grishaber RB, Ritchie RO (2006) Fatigue and life prediction for cobalt-chromium stents: a fracture mechanics analysis. Biomaterials 27(9):1988–2000

    Article  Google Scholar 

  13. Mewissen MW (2009) Primary nitinol stenting for femoropopliteal disease. J Endovasc Ther 16(2 Suppl 2):II63–II81

    Google Scholar 

  14. Nakazawa G, Finn AV, Vorpahl M, Ladich E, Kutys R, Balazs I, Kolodgie FD, Virmani R (2009) Incidence and predictors of drug-eluting stent fracture in human coronary artery a pathologic analysis. J Am Coll Cardiol 54(21):1924–1931

    Article  Google Scholar 

  15. Pelton AR, Schroeder V, Mitchell MR, Gong X-Y, Barney M, Robertson SW (2008) Fatigue and durability of nitinol stents. J Mech Behav Biomed Mater 1(2):153–164

    Article  Google Scholar 

  16. Peng H, Feng Q, Coit DW (2010) Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes. IIE Trans 43(1):12–22

    Article  Google Scholar 

  17. Räber L, Jüni P, Löffel L, Wandel S, Cook S, Wenaweser P, Togni M, Vogel R, Seiler C, Eberli F, Lüscher T, Meier B, Windecker S (2010) Impact of stent overlap on angiographic and long-term clinical outcome in patients undergoing drug-eluting stent implantation. J Am Coll Cardiol 55(12):1178–1188

    Article  Google Scholar 

  18. Riepe G, Heintz C, Kaiser E, Chakfé N, Morlock M, Delling M, Imig H (2002) What can we learn from explanted endovascular devices? Eur J Vasc Endovasc Surg 24(2):117–122

    Article  Google Scholar 

  19. Robertson SW, Ritchie RO (2007) In vitro fatigue-crack growth and fracture toughness behavior of thin-walled superelastic nitinol tube for endovascular stents: a basis for defining the effect of crack-like defects. Biomaterials 28(4):700–709

    Article  Google Scholar 

  20. Sachs NW (2005) Understanding the surface features of fatigue fractures: how they describe the failure cause and the failure history. J Fail Anal Prev 5(2):11–15

    Article  Google Scholar 

  21. Thomas LC (1986) A survey of maintenance and replacement models for maintainability and reliability of multi-item systems. Reliab Eng 16(4):297–309

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Industrial Engineering, University of Houston, Houston, TX, 77204, USA

    Qianmei Feng, Koosha Rafiee, Elias Keedy & Ali Arab

  2. Department of Industrial & Systems Engineering, Rutgers University, Piscataway, NJ, 08854, USA

    David W. Coit & Sanling Song

Authors
  1. Qianmei Feng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Koosha Rafiee
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Elias Keedy
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ali Arab
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. David W. Coit
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Sanling Song
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Qianmei Feng.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Feng, Q., Rafiee, K., Keedy, E. et al. Reliability and condition-based maintenance for multi-stent systems with stochastic-dependent competing risk processes. Int J Adv Manuf Technol 80, 2027–2040 (2015). https://doi.org/10.1007/s00170-015-7182-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-015-7182-3

Keywords

Search

Navigation