Analytical results for the performance and the control of stochastic flow systems

Journal of Intelligent Manufacturing

Volumn 8, Issue 5, 1997, Pages 435-447

  Hongler, Max Olivier ^a  

^a EPFL   (Switzerland)

Author keywords

Flow systems; Production lines with failures; Stochastic control; Stochastic systems

Indexed keywords

CALCULATIONS; COMPUTER AIDED MANUFACTURING; CONTROL THEORY; FAILURE ANALYSIS; MATHEMATICAL MODELS; OPTIMAL CONTROL SYSTEMS; RANDOM PROCESSES;

FLOW SYSTEMS; PRODUCTION WITH FAILURES; STOCHASTIC CONTROL; STOCHASTIC SYSTEMS;

PRODUCTION CONTROL;

EID: 0031248321     PISSN: 09565515     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018514401057     Document Type: Article

References (30)

1. Akella, R. and Kumar, P. R. (1986) Optimal control of production rate in a failure prone manufacturing system. IEEE Transactions on Automation and Control, AC-31, 116-126.
2. Bielicki, T. and Kumar, P. R. (1988) Optimality of zero-inventory policies for unreliable manufacturing systems. Operations Research, 36, 532-541.
3. Buzacott, J. A. and Shanthikumar, J. G. (1993) Stochastic Models of Manufacturing Systems, Prentice Hall.
4. Carrascosa, M. (1995) Variance of the output in a deterministic two machine lines, Master's Thesis, MIT, Laboratory for Manufacturing and Productivity, Report LMP-95-010.
5. Ciprut, Ph., Hongler, M. -O. and Salama, Y. (1997a) On the variance of the production output of transfer lines, preprint, Dept, de Microtechnique EPF-Laussane.
6. Ciprut, Ph., Hongler, M. -O. and Salama, Y. (1997b) Hedging point for non-Markovian piecewise deterministic production processes, preprint, Dept de Microtechnique EPF-Lausanne.
7. Cohen, J. W. (1982) The Single Server Queue, North Holland.
8. Coillard, P. and Proth, J.-M. (1983) Rev. Belge Inform. et de Rech. Op., 24, 1-23.
9. Dallery, Y. and Gerschwin, S. B. (1993) Manufacturing flow lines systems. A review of models and analytical results. Queueing Systems: Theory and Applications, 12, 3-94.
10. Dubois, D. and Forestier, J. -P. (1981) Productivité et encours moyens d'un ensemble de deux machines séparées par une zone de stockage. RAIRO Automated Systems Analysis and Control, 16, 105-132.
11. Georgescu-Roegen, N. (1976) The Entropy Law and the Economic Process, Harvard University Press.
12. Gerschwin, S. B. (1993) Variance of the output of a tandem production system, in Queueing Networks with Finite Capacity, (Proceedings of 2nd International Workshop held in Triangle Park, North Carolina, 1992). Onvural, R. and Akyldiz, I. (eds).
13. Gerschwin, S. B. (1993) Manufacturing System Engineering, Prentice Hall.
14. Glansdorff, P. and Prigogine, I. (1971) Structure Stabilité, Fluctuations, Masson.
15. Hongler, M.-O. (1994) Chaotic and Stochastic Behavior in Automatic Production Lines, Lecture Notes in Physics, New Series m: Monographs m22, Springer-Verlag, Heidelberg.
16. Hongler, M.-O. and Domine, E. (1994) On the variability of the throughput and the random time to complete a fixed batch with failure prone machines, in Proceedings of European Workshop on Integrated Manufacturing Systems Engineering, Grenoble, pp. 375-382.
17. Hongler, M.-O. and Salama, Y. (1995) Continuous versus discrete flow of parts in a production dipole. Exact transient analysis, in Proceedings of Conference on Emerging Technology and Factory Automation (ETFA 95), Paris.
18. Hu, J.-Q. (1995) Production rate control for failure prone production systems with no backlog permitted. IEEE Transactions on Automation Control, AC-40, 291-295.
19. Hu, J.-Q. and Xiang, D. (1993) The queueing equivalence to a manufacturing system with failures. IEEE Transactions on Automation and Control, AC-38, 499-502.
20. Hu, J.-Q. and Xiang, D. (1994) Structural properties of optimal production controllers in failure prone manufacturing systems. IEEE Transactions on Automation and Control, AC-39, 640-642.
21. Kimenia, J. G. and Gerschwin, S. B. (1983) An algorithm for the computer control of production in flexible manufacturing systems. IIE Transactions, 15, 353-362.
22. Miller, R. G. (1963) Continuous time stochastic storage processes with random linear inputs and outputs. Journal of Mathematics and Mechanics, 12, 275-291.
23. Pinsky, M. A. (1991) Lectures on Random Evolution, World Scientific Press.
24. Ross, S. M. (1982) Stochastic Processes, John Wiley.
25. Schlesinger, (1995) Random Walks in Random Environments, Vol 1. Oxford University Press, Section 5.3.2.
26. Seshadri, V. (1993) The Inverse Gaussian Distribution, Oxford Science Publications.
27. Sethi, S. P. and Zhang, Q. (1994) Hierarchical Decision Making in Stochastic Manufacturing Systems, Birkhauser.
28. Takacs, L. (1957) On certain sojourn time problems in the theory of stochastic processes. Acta Mathematica Academiae Scientianim Hungarincae, 8, 169-191.
29. Terracol, C. and David, R. (1987) Performance d'une ligne composée de machines et de stocks intermédiaires. APII 21, 239-262.
30. Winjgaard, J. (1979) The effect of interstage buffer storage on the output of two unreliable production units in series with different production rates. AIIE Transactions, 11, 42-47.