Optimal Control of Supply Chain Systems with Preventive Maintenance Decisions

  • Dong-Ping SongEmail author
Part of the Advances in Industrial Control book series (AIC)


This chapter considers the optimal control problem for supply chains with preventive maintenance decisions. The manufacturer has failure-prone machines with options to perform preventive maintenance to reduce the failure rate. However, performing preventive maintenance could affect the production capacity. Therefore, when to perform preventive maintenance should be determined together with other supply chain management decisions. Both time-dependent failure mode and operation-dependent failure mode are considered. We first seek the optimal integrated control of raw material ordering, finished goods production, and preventive maintenance in the basic stochastic supply chain with unreliable machines. Then, we focus on the joint production and preventive maintenance for a simpler failure-prone manufacturing supply chain, in which the raw material ordering activity is not considered. Numerical examples are given to illustrate the control structure of the optimal policies.


Supply Chain Preventive Maintenance Maintenance Policy Supply Chain System Machine Failure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. Akella, R., Kumar, P.R.: Optimal control of production rate in a failure prone manufacturing system. IEEE Trans. Autom. Control 31(2), 116–126 (1986)MathSciNetzbMATHCrossRefGoogle Scholar
  2. Bielecki, T., Kumar, P.R.: Optimality of zero-inventory policies for unreliable manufacturing systems. Oper. Res. 36(4), 532–541 (1988)MathSciNetzbMATHCrossRefGoogle Scholar
  3. Boukas, E.K.: Hedging point policy improvement. J. Optim. Theory Appl. 97(1), 47–70 (1998)MathSciNetzbMATHCrossRefGoogle Scholar
  4. Boukas, E.K., Haurie, A.: Manufacturing flow control and preventive maintenance: a stochastic control approach. IEEE Trans. Autom. Control 35(9), 1024–1031 (1990)MathSciNetzbMATHCrossRefGoogle Scholar
  5. Boukas, E.K., Liu, Z.K.: Production and maintenance control for manufacturing systems. IEEE Trans. Autom. Control 46(9), 1455–1460 (2001)MathSciNetzbMATHCrossRefGoogle Scholar
  6. Buzacott, J.A., Hanifin, L.E.: Models of automatic transfer lines with inventory banks: a review and comparison. AIIE Trans. 10(2), 197–207 (1978)CrossRefGoogle Scholar
  7. Dallery, Y., David, R., Xie, X.: Approximate analysis of transfer lines with unreliable machines and finite buffers. IEEE Trans. Autom. Control 34(9), 943–953 (1989)zbMATHCrossRefGoogle Scholar
  8. Das, T.K., Sarkar, S.: Optimal preventive maintenance in a production inventory system. IIE Trans. 31, 537–551 (1999)Google Scholar
  9. Fu, M., Xie, X.: Derivative estimation for buffer capacity of continuous transfer lines subject to operation-dependent failures. J. Discret. Event Dyn. Syst. Theory Appl. 12(4), 447–469 (2002)MathSciNetzbMATHCrossRefGoogle Scholar
  10. Gershwin, S.B.: Manufacturing Systems Engineering. Prentice-Hall, Englewood Cliffs (1994)Google Scholar
  11. Gharbi, A., Kenne, J.P.: Production and preventive maintenance rates control for a manufacturing system: an experimental design approach. Intern. J. Prod. Econ. 65, 275–287 (2000)CrossRefGoogle Scholar
  12. Hu, J.Q., Xiang, D.: Structural properties of optimal production controllers in failure prone manufacturing systems. IEEE Trans. Autom. Control 39(3), 640–643 (1994)MathSciNetzbMATHCrossRefGoogle Scholar
  13. Hu, J.Q., Vakili, P., Yu, G.: Optimality of hedging point policies in the production control of failure prone manufacturing systems. IEEE Trans. Autom. Control 39, 1875–1880 (1994)zbMATHCrossRefGoogle Scholar
  14. Iravani, S., Duenyas, I.: Integrated maintenance and production control of a deteriorating production system. IIE Trans. 34, 423–435 (2002)Google Scholar
  15. Kenne, J.P., Nkeungoue, L.J.: Simultaneous control of production, preventive and corrective maintenance rates of a failure-prone manufacturing system. Appl. Numer. Math. 58(2), 180–194 (2008)MathSciNetzbMATHCrossRefGoogle Scholar
  16. Kimemia, J.G., Gershwin, S.B.: An algorithm for the computer control of production in flexible manufacturing system. IIE Trans. 13(4), 353–362 (1983)CrossRefGoogle Scholar
  17. Liberopoulos, G., Caramanis, M.: Production control of manufacturing systems with production rate dependent failure rates. IEEE Trans. Autom. Control 39(4), 889–895 (1994)MathSciNetzbMATHCrossRefGoogle Scholar
  18. Nodem, F.I.D., Kenne, J.P., Gharbi, A.: Simultaneous control of production, repair/replacement and preventive maintenance of deteriorating manufacturing systems. Int. J. Prod. Econ. 134, 271–282 (2011)CrossRefGoogle Scholar
  19. Sethi, S., Zhang, Q.: Hierarchical Decision Making in Stochastic Manufacturing Systems. Birkhauser, Boston (1994)zbMATHCrossRefGoogle Scholar
  20. Sharafali, M.: On a continuous review production–inventory problem. Oper. Res. Lett. 3, 199–204 (1984)MathSciNetzbMATHCrossRefGoogle Scholar
  21. Sharifnia, A.: Production control of a manufacturing system with multiple machine states. IEEE Trans. Autom. Control 33(7), 620–625 (1988)zbMATHCrossRefGoogle Scholar
  22. Song, D.P.: Production and preventive maintenance control in a stochastic manufacturing system. Int. J. Prod. Econ. 119, 101–111 (2009)CrossRefGoogle Scholar
  23. Srinivasan, M.M., Lee, H.S.: Production/inventory system with preventive maintenance. IIE Trans. 28, 879–890 (1996)Google Scholar
  24. Van der Duyn Schouten, F.A., Vanneste, S.G.: Maintenance optimization of a production system with buffer capacity. Eur. J. Oper. Res. 82, 323–338 (1995)zbMATHCrossRefGoogle Scholar
  25. Xie, X.: Performance analysis of a transfer line with unreliable machines and finite buffers. IIE Trans. 25(1), 99–108 (1993)CrossRefGoogle Scholar
  26. Xie, X., Mourani, I., Hennequin, S.: Performance evaluation of production lines subject to time and operation dependent failures using Petri Nets. In: The 8th International Conference on Control, Automation, Robotics and Vision, pp. 2123–2128. Kunming, 6–9 Dec 2004Google Scholar
  27. Yao, X.D., Xie, X.L., Fu, M.C., Marcus, S.I.: Optimal joint preventive maintenance and production policies. Nav. Res. Logist. 52, 668–681 (2005)MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  1. 1.School of ManagementUniversity of PlymouthPlymouthUK

Personalised recommendations