Skip to main content
Log in

A simulated annealing-based approach for the joint optimization of production/inventory and preventive maintenance policies

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

Abstract

Even if more reliable than the past, the performance of modern manufacturing systems is still affected by machine’s deteriorations and breakdowns. As a consequence, adequate maintenance programs must be implemented to adequately satisfy demands during manufacturing stops due to unexpected failures or preventive maintenance (PM) actions. Despite production and maintenance are closely related issues, their joint optimization has become an important research topic just during the last decade. Therefore, the present paper proposes a model for the combined optimization of production/inventory control and PM policies with the aim of minimizing the total expected cost per unit time. The model is formulated referring to a continuous production system characterized by a random deteriorating behavior so that the presence of a buffer is considered to ensure a continuous products supply during interruptions of service caused by breakdowns or planned maintenance actions on the production system. Unlike the main part of the existing literature, non-restriction on the failure occurrence is here forced, namely that the manufacturing system may fail at any age within the production cycle as well as more than one failure may occur during the same period. A Simulated Annealing-based algorithm combined with a Monte Carlo simulation module is proposed as a resolution approach. The robustness of the developed algorithm is demonstrated by means of repeated runs of different simulated scenarios characterized by diverse sets of cost parameters. Results also confirm the effectiveness of the proposed three-level theoretical inventory profile.

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. Galante GM, Inghilleri R, La Fata CM (2015) A hierarchical framework for the measurement of maintenance efficacy and efficiency using performance indicators. In Safety and Reliability: Methodology and Applications - Proceedings of the European Safety and Reliability Conference, ESREL 2014:1109–1117

    Google Scholar 

  2. Pierskalla WP, Voelker JA (1976) A survey of maintenance models: the control and surveillance of deteriorating systems. Nav Res Log 23:353–388

    Article  MathSciNet  MATH  Google Scholar 

  3. Sherif YS, Smith ML (1981) Optimal maintenance models for system subject to failure—a review. Nav Res Log 28:47–74

    Article  MathSciNet  MATH  Google Scholar 

  4. Thomas LC (1986) A survey of maintenance and replacement models for maintainability and reliability of multi-item systems. Reliab Eng and Syst Safe 16:297–308

    Article  Google Scholar 

  5. Valdez-Flores C, Feldman RM (1989) A survey of preventive maintenance models for stochastically deteriorating single-unit systems. Nav Res Log 36:419–446

    Article  MathSciNet  MATH  Google Scholar 

  6. Dekker R, Schouten FA, Wildeman R (1997) A survey of multi-component maintenance models with economic dependence. Math Method of Oper Res 45(3):411–435

    Article  MATH  Google Scholar 

  7. Wang HZ (2002) A survey of maintenance policies for deterioration systems. Eur J Oper Res 139:469–489

    Article  MATH  Google Scholar 

  8. Nicolai RP, Dekker R (2006) Optimal maintenance of multi-component systems: a review. Econometric Institute Report 29:1–30

    Google Scholar 

  9. Carpitella S, Certa A, Galante G, Izquierdo J, La Fata CM (2016) The FTOPSIS method to support FMECA analyses. In: proceedings of the 22nd ISSAT international conference on reliability and quality in design, Los Angeles, California, USA, pp 398–402

  10. Certa A, Galante G, Lupo T, Passannanti G (2011) Determination of Pareto frontier in multi-objective maintenance optimization. Reliab Eng Syst Safe 96(7):861–867

    Article  Google Scholar 

  11. Certa A, Enea M, Galante G, Lupo T (2012) A multi-objective approach to optimize a periodic maintenance policy. Int J Reliab Qual Saf Eng 19(6):1240002

    Article  Google Scholar 

  12. Certa A, Enea M, Lupo T (2013) ELECTRE III to dynamically support the decision maker about the periodic replacements configurations for a multi-component system. Decis Support Syst 55(1):126–134

    Article  Google Scholar 

  13. Kim BS, Ozturkoglu Y (2013) Scheduling a single machine with multiple preventive maintenance activities and position-based deteriorations using genetic algorithms. Int J Adv Manuf Technol 67(5):1127–1137

    Article  Google Scholar 

  14. Van Horenbeek A, Buré J, Cattrysse D, Pintelon L, Vansteenwegen P (2013) Joint maintenance and inventory optimization systems: a review. Int J Prod Res 143(2):499–508

    Article  Google Scholar 

  15. Meller RD, Kim DS (1996) The impact of preventive maintenance on system cost and buffer size. Eur J Oper Res 95(3):577–591

    Article  MATH  Google Scholar 

  16. Ki Ling C, Hausman WH (1997) Joint determination of preventive maintenance and safety stocks in an unreliable production environment. Nav Res Log 44:257–272

    Article  MATH  Google Scholar 

  17. Tadashi D, Hiroyuki O, Shunji O (2001) Optimal control of preventive maintenance schedule and safety stocks in an unreliable manufacturing environment. Int J Prod Econ 74:147–155

    Article  Google Scholar 

  18. Chelbi A, Ait-Kadi D (2004) Analysis of a production/inventory system with randomly failing production unit submitted to regular preventive maintenance. Eur J Oper Res 156(3):712–718

    Article  MathSciNet  MATH  Google Scholar 

  19. Kenné JP, Gharbi A, Beit M (2007) Age-dependent production planning and maintenance strategies in unreliable manufacturing systems with lost sale. Eur J Oper Res 178:408–420

    Article  MATH  Google Scholar 

  20. Chelbi A, Ait-Kadi D, Radhoui M (2008a) An integrated production and maintenance model for one failure prone machine-finite capacity buffer system for perishable products with constant demand. Int J Prod Res 46:5427–5440

    Article  MATH  Google Scholar 

  21. Rezg N, Dellagi S, Chelbi A (2008) Joint optimal inventory control and preventive maintenance policy. Int J Prod Res 46:5349–5365

    Article  MATH  Google Scholar 

  22. Salameh MK, Ghattas RE (2001) Optimal just-in-time buffer inventory for regular preventive maintenance. Int J Prod Econ 71(1–3):157–161

    Article  Google Scholar 

  23. Kyriakidis EG, Dimitrakos TD (2006) Optimal preventive maintenance of a production system with an intermediate buffer. Eur J Oper Res 168:86–99

    Article  MathSciNet  MATH  Google Scholar 

  24. Chelbi A, Rezg N (2006) Analysis of a production/inventory system with randomly failing production unit subjected to a minimum required availability level. Int J Prod Econ 99:131–143

    Article  Google Scholar 

  25. Gharbi A, Kenné J-P, Beit M (2007) Optimal safety stocks and preventive maintenance periods in unreliable manufacturing systems. Int J Prod Econ 107:422–434

    Article  MATH  Google Scholar 

  26. Liu X, Wang W, Zhao F, Peng R (2015) Joint lot-size and preventive maintenance optimization for a production system. International Journal of Performability Engineering 11(1):91–96

    Google Scholar 

  27. Chakraborty T, Chauhan SS, Giri BC (2013) Joint effect of stock threshold level and production policy on an unreliable production environment. Appl Math Model 37:6593–6608

    Article  Google Scholar 

  28. Berthaut F, Gharbi A, Dhouib K (2011) Joint modified block replacement and production/inventory control policy for a failure-prone manufacturing cell. Omega 39:642–654

    Article  Google Scholar 

  29. Porteus EL (1986) Optimal lot sizing, process quality improvement and setup cost reduction. Oper Res 34:137–144

    Article  MATH  Google Scholar 

  30. Rosenblatt MJ, Lee HL (1986) Economic production cycles with imperfect production processes. IIE Trans 18:48–55

    Article  Google Scholar 

  31. Cheung KL, Hausman WH (1997) Joint determination of preventive maintenance and safety stocks in an unreliable production environment. Nav Res Log 44:257–271

    Article  MATH  Google Scholar 

  32. Ben-Daya M (1999) Integrated production maintenance and quality model for imperfect processes. IIE Trans 31:491–501

    Google Scholar 

  33. Ben-Daya M (2002) The economic production lot-sizing problem with imperfect production processes and imperfect maintenance. Intern J Prod Econ 76:257–264

    Article  Google Scholar 

  34. Ben-Daya M, Rahim MA (2000) Effect of maintenance on the economic design of x-control chart. Eur J Oper Res 120:131–143

    Article  MATH  Google Scholar 

  35. Chakraborty T, Giri BC, Chaudhuri KS (2008) Production lot sizing with process deterioration and machine breakdown. Eur J Oper Res 185:606–618

    Article  MathSciNet  MATH  Google Scholar 

  36. Chakraborty T, Giri BC, Chaudhuri KS (2009) Production lot sizing with process deterioration and machine breakdown under inspection schedules. Omega 37:257–271

    Article  Google Scholar 

  37. Chakraborty T, Giri BC (2012) Joint determination of optimal safety stocks and production policy for an imperfect production system. Appl Math Model 36:712–722

    Article  MathSciNet  MATH  Google Scholar 

  38. Sett BK, Sarkar S, Sarkar B (2016) Optimal buffer inventory and inspection errors in an imperfect production system with preventive maintenance. Int J of Adv Manuf Tech. doi:10.1007/s00170-016-9359-9

  39. Chelbi A, Rezg N, Radhoui M (2008b) Simultaneous determination of production lot size and preventive maintenance schedule for unreliable production system. J Qual Maint Eng 14:161–176

    Article  MATH  Google Scholar 

  40. Radhoui M, Rezg N, Chelbi A (2009) Integrated model of preventive maintenance, quality control and buffer sizing for unreliable and imperfect production systems. Inter J Prod Res 47:389–402

    Article  MATH  Google Scholar 

  41. Dhouib K, Gharbi A, BenAziz MN (2012) Joint optimal production control/preventive maintenance policy for imperfect process manufacturing cell. Int J Prod Econ 137:126–136

    Article  Google Scholar 

  42. Kouedeu AF, Kenné J-P, Dejax P, Songmene V, Polotski V (2015) Production and maintenance planning for a failure-prone deteriorating manufacturing system: a hierarchical control approach. Int J Adv Manuf Technol 76:1607–1619

    Article  Google Scholar 

  43. Rivera-Gomez H, Gharbi A, Kenné JP (2013) Joint control of production, overhaul, and preventive maintenance for a production system subject to quality and reliability deteriorations. Int J Adv Manuf Technol 69:2111–2130

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Concetta Manuela La Fata.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

La Fata, C.M., Passannanti, G. A simulated annealing-based approach for the joint optimization of production/inventory and preventive maintenance policies. Int J Adv Manuf Technol 91, 3899–3909 (2017). https://doi.org/10.1007/s00170-017-0053-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-017-0053-3

Keywords

Navigation