Hedging Point for Non-Markovian Piecewise Deterministic Production Processes (original) (raw)

Abstract

We consider a single non-markovian failure prone machine which delivers a single product. The operating policy of the machine is chosen to be of the hedging point type. In the infinite horizon limit, we calculate the position of the hedging point that minimizes a convex cost function.

Access this article

Log in via an institution

Subscribe and save

• Starting from 10 chapters or articles per month
• Access and download chapters and articles from more than 300k books and 2,500 journals
• Cancel anytime View plans

Buy Now

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

• Akella, R., and Kumar, P. R. 1986. Optimal control of production rate in a failure prone manufacturing system. IEEE Trans Automat. Control AC-31: 116-126.
  Article Google Scholar
• Bielecki, T., and Kumar, P. R. 1988. Optimality of zero-inventory policies for unreliable manufacturing systems. Operations Research 36: 532-541.
  Google Scholar
• Brémaud, P., Malhamé, R., and Massoulié, L. A manufacturing system with general stationary failure process: Stability and IPA of hedging control policies. IEEE Trans on Autom. Control. 42: 155-170.
• Glasserman, P. 1995. Hedging-point production control with multiple failure modes. IEEE Trans on Autom. Control. 40: 707-712.
  Article Google Scholar
• Hu, J.-Q. 1995. Production rate control for failure prone production dystems with no backlog permitted. IEEE Trans. Automat Control AC-40: 291-295.
  Google Scholar
• Hu, J.-Q., and Xiang, D. 1993. The queueing equivalence to a manufacturing system with failures. IEEE Trans Automat. Control AC-38: 499-502.
  Article Google Scholar
• Hu, J.-Q., and Xiang, D. 1994. Structural properties of optimal production controllers in failure prone manufacturing systems. IEEE Trans Automat Control. AC-39: 640-642.
  Google Scholar
• Kimenia, J. G., and Gershwin, S. B. 1983. An algorithm for the computer control of production in flexible manufacturing systems. IEE Trans. 15: 353-362.
  Google Scholar
• Krichagina, E. V., Lou, S. X. C., Sethi, S. P., and Taksar, M. I. 1993. Annals of Appl. Probab. 3: 421-453.
  Google Scholar
• Malhamé, R. P. 1993. Ergodicity of hedging control policies in single part multiple state manufacturing systems. IEEE Trans Automat. Control 38: 340-343.
  Article Google Scholar
• Miller, R. G. 1963. Continuous time stochastic storage processes with random linear inputs and outputs. J. of Mathematics and Mechanics 12: 275-291.
  Google Scholar

Download references

Author information

Authors and Affiliations

1. Département de Microtechnique, Institut de Microtechnique, E.P.F.L., CH-1015, Lausanne
   Philippe Ciprut & Max-Olivier Hongler
2. Département de Mathématiques, E.P.F.L., CH-1015, Lausanne
   Yves Salama

Authors

1. Philippe Ciprut
2. Max-Olivier Hongler
3. Yves Salama

Rights and permissions

About this article

Cite this article

Ciprut, P., Hongler, MO. & Salama, Y. Hedging Point for Non-Markovian Piecewise Deterministic Production Processes.Discrete Event Dynamic Systems 8, 365–375 (1998). https://doi.org/10.1023/A:1008349216550

Download citation

• Issue date: December 1998
• DOI: https://doi.org/10.1023/A:1008349216550