Periodic orbits in a class of re-entrant manufacturing systems

Mathematics of Operations Research

Volumn 25, Issue 4, 2000, Pages 708-725

  Diaz Rivera, Ivonne ^a   Armbruster, Dieter ^a   Taylor, Tom ^a  

^a ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; CHAOS THEORY; CONFORMAL MAPPING; DIFFERENTIAL EQUATIONS; INTEGER PROGRAMMING; MATHEMATICAL MODELS; PIECEWISE LINEAR TECHNIQUES; PROBABILITY DISTRIBUTIONS; SEMICONDUCTOR DEVICE MANUFACTURE; SENSITIVITY ANALYSIS; VECTORS;

CONSTANT VECTOR FIELDS; PERIODIC ORBITS; PIECEWISE LINEAR MAPS; REENTRANT MANUFACTURING SYSTEMS;

QUEUEING NETWORKS;

EID: 0034313979     PISSN: 0364765X     EISSN: None     Source Type: Journal    
DOI: 10.1287/moor.25.4.708.12111     Document Type: Article

References (14)

1. Alligood, K. T., T. D. Sauer, J. A. Yorke. 1996. Chaos, An Introduction to Dynamical Systems. Springer-Verlag, New York, 48.
2. Arrowsmith, D. K., C. M. Place. 1992. Dynamical Systems. Chapman and Hall.
3. Beaumariage, T., K. Kempf. 1994. The nature and origin of chaos in manufacturing systems. Proc. of the 5th SEMI/IEEE Adv. Semiconductor Manufacturing Conf. 489-496.
4. Chase, C. J., J. Serrano, P. Ramadge. 1993. Periodicity and chaos from switched flow systems: Contrasting examples of discretely controlled continuous systems. IEEE Trans. Automat. Control. 38 70-83.
5. Dai, J. G., G. Weiss. 1996. Stability and instability of fluid models for re-entrant lines. Mathe. Oper. Res. 21(1) 115-134.
6. _, K. H. Yeh, C. Zhou. 1997. The QNET method for re-entrant queueing networks with priority disciplines. Oper. Res. 45 610-623.
7. Diaz-Rivera, I. 1997. The dynamics of queues of re-entrant manufacturing systems. Ph.D. Thesis, Arizona State University, AZ.
8. _, D. Armbruster, T. Taylor. 2000. Phase space, bifurcations and resonances in re-entrant manufacturing systems. Working paper, Arizona State University, Tempe, AZ.
9. Kleinrock, L. 1976. Queueing Systems, Volume 2: Computer Applications. John Wiley & Sons, New York.
10. Kumar, P. R. 1993. Re-entrant lines. Queueing Systems Theory Appl. 13 87-110.
11. _, S. P. Meyn. 1995. Stability of queueing networks and scheduling policies. IEEE Trans. Automat. Control 40 251-260.
12. Lu, S. H., P. R. Kumar. 1991. Distributed scheduling based on due dates and buffer priorities. IEEE Trans. Automat. Control 36 1406-1416.
13. Walsh J. A., G. R. Hall, B. Elenbogen. 1996. Computer protocol and torus maps. Dynam. Stability Systems: Internat. J. 11 239-263.
14. Wolff, R. W. 1989. Stochastic models and the theory of queues. International Series in Industrial and Systems Engineering, Prentice-Hall, Englewood Cliffs, NJ.