Skip to main content

Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 94))

  • 2180 Accesses

Abstract

This work deals with the control of manufacturing systems with limited capacity. The production rate of the system for each part is assumed to be bounded by both lower (equal to zero) and upper bounds. The model we propose in this work considers the inspection of the produced parts and a small rate of these parts is rejected. The model considers also the fact that a rate of delivered parts can be returned to the stock level. It is assumed that these rates are not known exactly and some uncertainties are considered. The control problem treated in this work consists of computing the state feedback control law that guarantees the asymptotic stability of our model despite the uncertainties and constraints on the production rates.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Grubbstrom, R. W. and Wikner, J., Inventory Trigger Control Policies Developed in Terms of Control Theory, International Journal of Production Economics, vol. 154, pp. 397–406, 1996.

    Article  Google Scholar 

  • Hennet, J. C., A Bimodal Scheme for Multi-Stage Production and Inventory Control, Automatica, vol. 39, pp. 793–805, 2003.

    Article  MATH  MathSciNet  Google Scholar 

  • Towill, D. R., Dynamic Analysis of an Inventory and Order Based Production Control System, International Journal of Production Research, vol. 63, no. 4, pp.671–687, 1982.

    Google Scholar 

  • Boukas, E. K. and Liu, Z. K., Deterministic and Stochastic Systems with Time-Delay, Birkhauser, Boston, 2002.

    Google Scholar 

  • John, S., Naim, M. M., and Towill, D. R., Dynamic Analysis of a WIP Compensated Decision Support System, International Journal of Manufacturing Systems Design, vol. 1, no. 4, 1994.

    Google Scholar 

  • Wiendahl, H. and Breithaupt, J. W., Automatic Production Control Applying Control Theory, International Journal of Production Economics, vol., no. 63, pp. 33–46, 2000.

    Article  Google Scholar 

  • Towill, D. R., Evans, G. N., and Cheema, P., Analysis and Design of an Adaptive Minimum Reasonable Inventory Control System, Production Planning and Control, vol. 8, No. 6, pp. 545–557, 1997.

    Article  Google Scholar 

  • Axsater, S., Control Theory Concepts in Production and Inventory Control, International Journal of Systems Science, vol. 16, no. 2, pp. 161–169, 1985.

    MathSciNet  Google Scholar 

  • Ridalls, C. E. and Bennett, S., Production Inventory System Controller Design And Suplly Chain Dynamics, International Journal of Systems Science, vol. 33, no. 3, pp. 181–195, 2002.

    Article  MathSciNet  Google Scholar 

  • Simon, H. A., On the Application of Servomechanism Theory in the Study of Production Control, Economitra, vol. 20, pp. 247–268, 1952.

    Article  MATH  Google Scholar 

  • Gavish, B., and Graves, S., A One-Product Production/Inventory Problem Under Continuous Review Policy, Operations Research, vol 28, pp. 1228–1236, 1980.

    Article  MATH  MathSciNet  Google Scholar 

  • Disney, S. M., Naim, M. M., and Towill, D. R., Genetic Algorithm Optimization of a Class of Inventory Control Systems, International Journal of Production Economics, Vol 68, no. 3, pp. 259–278, 2000 (Special Issue on Design and Implementaion of Agile Manufacturing Systems.

    Article  Google Scholar 

  • Sethi, S.P. and Zhang, Q., Hierarchical Decision Making in Stochastic Manufacturing Systems, Birkhuser Boston, Cambridge, MA, 1994.

    MATH  Google Scholar 

  • Sethi, S.P., Zhang, H., and Zhang, Q., Average-Cost Control of Stochastic Manufacturing Systems, Springer, 2005.

    Google Scholar 

  • Su, T. J., Liu, P. L., and Tsay, J. T., Stabilization of Delay-dependence for Saturating Actuator Systems, Proceedings of the 30th IEEE Conference Decision and Control, Brighton, UK, pp. 2991–2892, 1991.

    Google Scholar 

  • Gershwin, S. B., Manufacturing Systems Engineering, Prentice Hall, New York, 1994.

    Google Scholar 

  • Boukas, E. K. and Z. K. Liu, Production and Maintenance Control for Manufacturing Systems, IEEE Transactions on Automatic Control, vol. 46, no. 9, pp. 1455–1460, 2001.

    Article  MATH  MathSciNet  Google Scholar 

  • Rodrigues, L. and Boukas, E. K., Piecewise-Linear H Controller Synthesis wih Applications to Inventory Control of Switched Production Systems To appear in Automatica, 2006.

    Google Scholar 

  • D. E. Kirk, Optimal Control Theory: An Introduction Englewood Cliffs, N.J., Prentice Hall, 1970.

    Google Scholar 

  • E. K. Boukas, Stochastic Output Feedback of Uncertain Time-Delay Systems with Saturating Actuators, Journal of Optimization Theory and Applications, Vol. 118, No. 2, pp. 255–273, 2003.

    Article  MATH  MathSciNet  Google Scholar 

  • P. L. Liu, Delay-Dependent Asymptotic Stabilization for Uncertain Time-Delay Systems with Saturating Actuators, International Journal of Mathematical Computing Science, Vol. 15, No. 1, pp. 45–51, 2005.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Boukas, E.K. (2006). Control of Manufacturing Systems with Delayed Inspection and Limited Capacity. In: Yan, H., Yin, G., Zhang, Q. (eds) Stochastic Processes, Optimization, and Control Theory: Applications in Financial Engineering, Queueing Networks, and Manufacturing Systems. International Series in Operations Research & Management Science, vol 94. Springer, Boston, MA . https://doi.org/10.1007/0-387-33815-2_4

Download citation

  • DOI: https://doi.org/10.1007/0-387-33815-2_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-387-33770-8

  • Online ISBN: 978-0-387-33815-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics