1. J. G. Dai, Steady-state analysis of reflected Brownian motions: Characterization, numerical methods and queueing applications, Ph.D. dissertation, Dept. of Mathematics, Stanford University, 1990.
   [full dissertation (637 Kbytes)]

2. J. G. Dai and J. M. Harrison, "Steady-state analysis of RBM in a rectangle: numerical methods and a queueing application," Annals of Applied Probability, Vol 1, 16-35, 1991.
   [full paper (319 Kbytes)]

3. J. G. Dai and J. M. Harrison, "Reflected Brownian motion in an orthant: numerical methods for steady-state analysis," Annals of Applied Probability, Vol 2, 65-86, 1992.
   [full paper (336 Kbytes)]

4. J. G. Dai and Y. Wang, "Nonexistence of Brownian models of certain multiclass queueing networks," Queueing Systems, Vol 13, 41-46, 1993.
   [full paper (312 Kbytes)]

5. J. G. Dai and J. M. Harrison, "The QNET method for two-moment analysis of closed manufacturing systems," Annals of Applied Probability, Vol 3, 968-1012, 1993.
   [full paper (552 Kbytes)]

6. J. G. Dai, V. Nguyen, and M. I. Reiman, "Sequential bottleneck decomposition: an approximation method for generalized Jackson Networks," Operations Research, Vol 42, 119-136, 1994.
   [full paper (690 Kbytes)]

7. J. G. Dai and V. Nguyen, "On the convergence of multiclass queueing networks in heavy traffic," Annals of Applied Probability, Vol 4, 26-42, 1994.
   [full paper (226 Kbytes)]

8. J. G. Dai and R. J. Williams, "Existence and uniqueness of semimartingale reflecting Brownian motions in convex polyhedrons," Theory of Probability and Its Applications, Vol 50, 1-40, 1995.
   [full paper (4.4 Mbytes)]
   A correctional note (prepared on January 30, 2005) to Lemma 4.1 can be downloaded here (83 Kbytes).

9. J. G. Dai, "On positive Harris recurrence of multiclass queueing networks: a unified approach via fluid limit models," Annals of Applied Probability, Vol 5, 49-77, 1995.
   [full paper (378 Kbytes)]

10. J. G. Dai and T. G. Kurtz, "A multiclass station with Markov feedback in heavy traffic," Mathematics of Operations Research, Vol 20, 721-742, 1995.
    [full paper (714 Kbytes)]

11. J. G. Dai, "Stability of open multiclass queueing networks via fluid models," in Proc. IMA Workshop on Stochastic Networks, F. Kelly and R. Williams Eds., Springer-Verlag, New York, 71-90, 1995.
    [full paper (329 Kbytes)]

12. J. G. Dai and S. Meyn, "Stability and convergence of moments for multiclass queueing networks via fluid limit models," IEEE Transactions on Automatic Control, Vol 40, 1889-1904, 1995.
    [full paper (1.4 Mbytes)]

13. J. G. Dai and G. Weiss, "Stability and instability of fluid models for reentrant lines," Mathematics of Operations Research, Vol 21, 115-134, 1996.
    [full paper (761 Kbytes)]

14. J. G. Dai and J. H. Vande Vate, "Global stability of two-station queueing networks," in Proc. Workshop on Stochastic Networks: Stability and Rare Events. P. Glasserman, K. Sigmanand, and David Yao Eds., Springer-Verlag, Columbia University, New York, 1-26, 1996.
    [full paper (668 Kbytes)]

15. J. G. Dai, "A fluid-limit model criterion for instability of multiclass queueing networks," Annals of Applied Probability, Vol 6, 751-757, 1996.
    [full paper (97 Kbytes)]

16. J. Banks and J. G. Dai, "Simulation studies of multiclass queueing networks," IIE Transactions, Vol 29, 213-219, 1997.
    [full paper (211 Kbytes)]

17. J. G. Dai, D. H. Yeh, and C. Zhou, "The QNET method for re-entrant queueing networks with priority disciplines," Operations Research, Vol 45, 610-623, 1997.
    [full paper (611 Kbytes)]

18. J. G. Dai and W. Dai, "A heavy traffic limit theorem for a class of open queueing networks with finite buffers," Queueing Systems, Vol 32, 5-40, 1999.
    [full paper (289 Kbytes)]

19. J. G. Dai, J. J. Hasenbein, and J. H. Vande Vate, "Stability of a three-station fluid network," Queueing Systems, Vol 33, 293-325, 1999.
    [full paper (222 Kbytes)]

20. J. G. Dai, "Stability of fluid and stochastic processing networks," MaPhySto Miscellanea Publication, No. 9, 1999.
    [full paper (704 Kbytes)]

21. J. G. Dai and B. Prabhakar, "The throughput of data switches with and without speedup", in Proc. IEEE INFOCOM 2000, Tel-Aviv, Israel, 556-564, 2000.
    [full paper (114 Kbytes)]

22. J. G. Dai and J. H. Vande Vate, "The stability of two-station multi-type fluid networks," Operations Research, Vol 48, 721-744, 2000.
    [full paper (709 Kbytes)]

23. M. Bramson and J. G. Dai, "Heavy traffic limits for some queueing networks," Annals of Applied Probability, Vol 11, 49-90, 2001.
    [full paper (543 Kbytes)]

24. F. Avram, J. G. Dai, and J. J. Hasenbein, "Explicit solutions for variational problems in the quadrant," Queueing Systems, Vol 37, 261-291, 2001.
    [full paper, (206 Kbytes)]

25. J. G. Dai and G. Weiss, "A fluid heuristic for minimizing makespan in job shops," Operations Research, Vol 50, 692-707, 2002.
    [full paper (208 Kbytes)]

26. J. G. Dai and S. Neuroth, "DPPS scheduling policies in semiconductor wafer fabs," in Proc. International Conference on Modeling and Analysis of Semiconductor Manufacturing, G. T. Mackulak, J.W. Fowler, and A.Schomig Eds., Tempe, Arizona, 194-199, 2002.
    [full paper (328 Kbytes)]

27. X. Shen, H. Chen, J. G. Dai, and W. Dai, "The finite element method for computing the stationary distribution of an SRBM in a hypercube with applications to finite buffer queueing networks," Queueing Systems, Vol 42, 33-62, 2002.
    [full paper (298 Kbytes)]

28. J. G. Dai and O. B. Jennings, "Stability of general processing networks," in Stochastic Models and Optimizations, D. D. Yao, H. Zhang, and X. Y. Zhou, Eds., Springer, New York, 193-243, 2003.
    [full paper (401K Bytes)]

29. J. G. Dai and C. Li, "Stabilizing batch processing networks," Operations Research, Vol 51, 123-136, 2003.
    [full paper (206 Kbytes)]

30. J. G. Dai, J. Hasenbein, and J. J. Vande Vate, "Stability and instability of a two-station queueing network," Annals of Applied Probability, Vol 14, 326-377, 2004.
    [full paper (402 Kbytes)]

31. K.-S. Choi, J. G. Dai, and J. S. Song, "On measuring supplier performance under vendor-managed-inventory programs in capacitated supply chains," Manufacturing and Service Operations Management, Vol 6, 53-72, 2004.
    [full paper (220 Kbytes)]

32. J. G. Dai and O. B. Jennings, "Stabilizing queueing networks with setups," Mathematics of Operations Research, Vol 29, 891-922, 2004.
    [full paper (252 Kbytes)]

33. J. Chang, H. Ayhan, J. G. Dai, and C. H. Xia, "Dynamic scheduling of a multiclass fluid model with transient overload," Queueing Systems, Vol 48, 263-307, 2004.
    [full paper (325 Kbytes)]

34. J. G. Dai and W. Lin, "Maximum pressure policies in stochastic processing networks," Operations Research, Vol 53, 197-218, 2005.
    [full paper (242 Kbytes)]

35. J. Yang, J. G. Dai, J.-G. You, and H. Zhang, "A simple proof of diffusion approximations for LBFS re-entrant lines," Operations Research Letters, Vol 34, 199-204, 2006.
    [full paper (171 KBytes)]

36. J. G. Dai, J. J. Hasenbein, and B. Kim, "Stability of join-the-shortest-queue networks," Queueing Systems, Vol 57, 129-145, 2007.
    [full paper (549K bytes)]

37. J. G. Dai, W. Lin, R. Moorthy, and C.-P. Teo, "Berth allocation planning optimization in container terminals," in Supply Chain Analysis: a Handbook on the Interaction of Information System and Optimization, C. S. Tang, C.-P. Teo, and K. K. Wei Eds., Springer, New York, 2008.
    [full paper (1.2 Mbytes)]

38. M. Ormeci, J. G. Dai, and J. Vande Vate, "Impulse control of Brownian motion: the constrained average cost case," Operations Research, Vol 56, 618-629, 2008.
    [full paper (160 Kbytes)]

39. J. G. Dai and T. Tezcan, "Optimal control of parallel server systems with many servers in heavy traffic," Queueing Systems, Vol 59, 95-134, 2008.
    [full paper (724 Kbytes)]

40. J. G. Dai and W. Lin, "Asymptotic optimality of maximum pressure policies in stochastic processing networks," Annals of Applied Probability, Vol 18, 2239--2299, 2008.
    [full paper (567K bytes)]

41. T. Tezcan and J. G. Dai, "Dynamic control of N-systems with many servers: asymptotic optimality of a static priority policy in heavy traffic," Operations Research, accepted.
    [full paper (528K bytes)]

42. J. Zhang, J. G. Dai, and B. Zwart, "Law of large number limits of limited processor sharing queues," Mathematics of Operations Research , accepted for publication, June 2009.
    [full paper (460K bytes)]

43. M. Bramson, J. G. Dai, and J. M. Harrison, "Positive recurrence of reflecting Brownian motion in three dimensions," Annals of Applied Probability, accepted for publication, July 2009.
    [full paper (308K bytes)]

44. Varun Gupta, Mor Harchol-Balter, J. G. Dai and Bert Zwart, On the inapproximability of M/G/K: why two moments of job size distribution are not enough, Queueing Systems , 2009.

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[last modified on December 15, 2008]