[1] I. Adan and G. Weiss. A two node Jackson network with infinite supply of work, Proba-
bility in the Engineering and Informational Sciences 19 (2), 191–212. 2005.
[2] I. Adan and G. Weiss. Analysis of a simple Markovian re-entrant line with infinite supply
of work under the LBFS policy, Queueing Systems 54 (3), 169–183. 2006.
[3] F. Baccelli and S. Foss. Ergodicity of Jackson-type queueing networks. Queueing Systems
17 (1), 5–72. 1994.
[4] M. Bramson. Stability of Queueing Networks, (Springer, Berlin). 2008.
[5] M. Bruccoleri, N. L. Sergio, and G. Perrone. An object-oriented approach for flexible man-
ufacturing controls systems analysis and design using the unified modeling language, (International
Journal of Flexible Manufacturing Systems). 15 (3), 195–216. 2003.
[6] P. J. Burke. The output of a queueing system, Operations Research 4 699–704. 1956.
[7] H. Chen and A. Mandelbaum. Discrete flow networks: bottleneck analysis and fluid approximations,
Mathematics of Operations Research 16 (2), 408–446. 1991.
[8] H. Chen and A. Mandelbaum. Stochastic discrete flow networks: diffusion approximations
and bottlenecks, The Annals of Probability 19(4), 1463–1519. 1991.
[9] H. Chen and H. Zhang. Stability of multiclass queueing network under priority service
disciplines. Operations Research. 48 (1), 26–37. 2000.
[10] H. Chen and D. D. Yao. Fundamentals of Queueing Networks: Performance, Asymptotics,
and Optimization. Springer, New York. 2001.
[11] J. G. Dai, On positive Harris recurrence of multiclass queueing networks: a unified approach
via fluid limit models, The Annals of Applied Probability 5 (1), 49–77. 1995.
[12] J. G. Dai, and H. V. V. Vate. The stability of two-station multi-type fluid networks, Opera-
tions Research 48 (5), 721–744. 2000.
[13] J. G. Dai and G. Weiss. Stability and instability of fluid models for re-entrant lines, Math-
ematics of Operations Research 21, 115–134. 1996.
[14] G. M. Delgadillo and S. B. Llano. Scheduling application using petri nets: a case study:
intergra’ficas, (s.a. In: Proceedings of 19th international conference on production research,
Valparaiso, Chile). 2006.
[15] S. G. Foss. Ergodicity of queueing networks, Siberian Mathematical Journal 32 (4), 184–
203. 1991.
[16] Y. Guo. Fluid model criterion for instability of re-entrant line with infinite supply of work,
TOP 17 (2009) 305–319.
REFERENCES 49
[17] Y. Guo and H. Zhang. On the stability of a simple re-entrant line with infinite supply,
Operations Research Transactions 10 (2) 75–85. 2006.
[18] J. M. Harrison. Brownian models of queueing networks with heterogeneous customer
populations, In: Fleming, W., Lions, P. L. (Eds.) Stochastic Differential Systems, Stochastic
Control Theory and Applications, Springer, New York 147–186. 1988.
[19] Y. M. Huang, J. N. Chen, T. C. Huang, Y. L. Jeng, and Y. H. Kuo. Standardized course
generation process using dynamic fuzzy petri nets, Expert Systems with Applications 34,
72–86. 2008.
[20] P. R. Kumar. Re-entrant lines, Queueing Systems 13 (1), 87–110. 1993.
[21] S. Kumar and P.R. Kumar. Performance Bounds for Queueing Networks and Scheduling
Policies, IEEE Transactions on Automatic Control 38, 1600–1611. 1994.
[22] R. Liu, A. Kumar, and W. van der Aalst. A formal modelling approach for supply chain
event management, Decision Support Systems 43, 761-778. 2007.
[23] S. H. Lu and P. R. Kumar. Distributed scheduling based on due dates and buffer priorities,
IEEE Transactions on Automatic Control 36, 1406–1416. 1991.
[24] S. P. Meyn. Control Techniques for Complex Networks, (Cambridge University Press, Cambridge).
2008.
[25] S. P. Meyn and D. Down. Stability of generalized Jackson networks, The Annals of Applied
Probability 4 (1), 124–148. 1994.
[26] Y. Nazarathy. On control of queueing networks and the asymptotic variance rate of outputs,
(Ph.D. thesis, The University of Haifa). 2008.
[27] Y. Nazarathy and G.Weiss. Near optimal control of queueing networks over a finite time
horizon, Annals of Operations Research., 170 (1), 233–249. 2008.
[28] A. N. Rybko and A. L. Stolyar. Ergodicity of stochastic processes describing the operation
of open queueing networks, Problems of Information Transmission 28(3), 3–26. 1992.
[29] B. Shnits, J. Rubinovittz, and D. Sinreich. Multi-criteria dynamic scheduling methodology
for controlling a flexible manufacturing system, International Journal of Production
Research 42, 3457–3472. 2004.
[30] F. Tüysüz and C. Kahraman. Modeling a flexible manufacturing cell using stochastic Petri
nets with fuzzy parameters. (Expert Systems with Applications), 5(37). 2009.
[31] G. Weiss. Stability of a simple re-entrant line with infinite supply of work - the case of
exponential processing times, Journal of the Operations Research Society of Japan. 47,
304–313. 2004.
[32] G. Weiss. Jackson networks with unlimited supply of work, Journal of Applied Probability
42 (3), 879–882. 2005.
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