-
3
-
-
0032262849
-
State space collapse with application to heavy traffic limits for multiclass queueing networks
-
M. Bramson, State space collapse with application to heavy traffic limits for multiclass queueing networks, Queueing Systems 30 (1998) 89-148.
-
(1998)
Queueing Systems
, vol.30
, pp. 89-148
-
-
Bramson, M.1
-
4
-
-
21844491189
-
Fluid approximations and stability of multiclass queueing networks: Work-conserving disciplines
-
H. Chen, Fluid approximations and stability of multiclass queueing networks: Work-conserving disciplines, Ann. Appl. Probab. 5(3) (1995) 637-665.
-
(1995)
Ann. Appl. Probab.
, vol.5
, Issue.3
, pp. 637-665
-
-
Chen, H.1
-
5
-
-
85041120433
-
A sufficient condition for the positive recurrence of a semimartingale reflecting Brownian motion in an orthant
-
H. Chen, A sufficient condition for the positive recurrence of a semimartingale reflecting Brownian motion in an orthant, Ann. Appl. Probab. 6(3) (1996) 758-765.
-
(1996)
Ann. Appl. Probab.
, vol.6
, Issue.3
, pp. 758-765
-
-
Chen, H.1
-
6
-
-
0001736003
-
Hierarchical modelling of stochastic networks, part II: Strong approximations
-
ed. D.D. Yao Springer, Berlin
-
H. Chen and A Mandelbaum, Hierarchical modelling of stochastic networks, Part II: Strong approximations, in: Stochastic Modelling and Analysis of Manufacturing Systems, ed. D.D. Yao (Springer, Berlin, 1994) pp. 107-131.
-
(1994)
Stochastic Modelling and Analysis of Manufacturing Systems
, pp. 107-131
-
-
Chen, H.1
Mandelbaum, A.2
-
8
-
-
0040750211
-
Diffusion approximations for reentrant lines with a first-buffer-first-served priority discipline
-
H. Chen and H. Zhang, Diffusion approximations for reentrant lines with a first-buffer-first-served priority discipline, Queueing Systems 23 (1996) 177-195.
-
(1996)
Queueing Systems
, vol.23
, pp. 177-195
-
-
Chen, H.1
Zhang, H.2
-
9
-
-
0032178317
-
Diffusion approximations for Kumar-Seidman network under a priority service discipline
-
H. Chen and H. Zhang, Diffusion approximations for Kumar-Seidman network under a priority service discipline, Oper. Res. Lett. 23 (1998) 171-181.
-
(1998)
Oper. Res. Lett.
, vol.23
, pp. 171-181
-
-
Chen, H.1
Zhang, H.2
-
10
-
-
84872984083
-
Stability of multiclass queueing networks under priority service disciplines
-
to appear
-
H. Chen and H. Zhang, Stability of multiclass queueing networks under priority service disciplines, Oper. Res. (1998) (to appear).
-
(1998)
Oper. Res.
-
-
Chen, H.1
Zhang, H.2
-
11
-
-
0000683318
-
A multiclass station with Markovian feedback in heavy traffic
-
J. Dai and T.G. Kurtz, A multiclass station with Markovian feedback in heavy traffic, Math. Oper. Res. 20 (1995) 721-742.
-
(1995)
Math. Oper. Res.
, vol.20
, pp. 721-742
-
-
Dai, J.1
Kurtz, T.G.2
-
12
-
-
0002973242
-
On the convergence of multiclass queueing networks in heavy traffic
-
J. Dai and V. Nguyen, On the convergence of multiclass queueing networks in heavy traffic, Ann. Appl. Probab. 4 (1994) 26-42.
-
(1994)
Ann. Appl. Probab.
, vol.4
, pp. 26-42
-
-
Dai, J.1
Nguyen, V.2
-
13
-
-
0003124563
-
Nonexistence of Brownian models of certain multiclass queueing networks
-
J. Dai and Y. Wang, Nonexistence of Brownian models of certain multiclass queueing networks, Queueing Systems 13 (1993) 41-46.
-
(1993)
Queueing Systems
, vol.13
, pp. 41-46
-
-
Dai, J.1
Wang, Y.2
-
14
-
-
0031514230
-
A multiclass network with non-linear, non-convex, non-monotonic stability conditions
-
V. Dumas, A multiclass network with non-linear, non-convex, non-monotonic stability conditions, Queueing Systems 25 (1997) 1-43.
-
(1997)
Queueing Systems
, vol.25
, pp. 1-43
-
-
Dumas, V.1
-
17
-
-
0000044386
-
Brownian models of queueing networks with heterogeneous customer populations
-
IMA, eds. W. Fleming and P.L. Lions Springer, Berlin
-
J.M. Harrison, Brownian models of queueing networks with heterogeneous customer populations, in: Stochastic Differential Systems, Stochastic Control Theory and Applications, IMA, Vol. 10, eds. W. Fleming and P.L. Lions (Springer, Berlin, 1988) pp. 147-186.
-
(1988)
Stochastic Differential Systems, Stochastic Control Theory and Applications
, vol.10
, pp. 147-186
-
-
Harrison, J.M.1
-
18
-
-
0001828819
-
The QNET method for two-moment analysis of open queueing networks
-
J.M. Harrison and V. Nguyen, The QNET method for two-moment analysis of open queueing networks, Queueing Systems 6 (1990) 1-32.
-
(1990)
Queueing Systems
, vol.6
, pp. 1-32
-
-
Harrison, J.M.1
Nguyen, V.2
-
19
-
-
21144478130
-
Brownian models of multiclass queueing networks: Current status and open problem
-
J.M. Harrison and V. Nguyen, Brownian models of multiclass queueing networks: Current status and open problem, Queueing Systems 13 (1993) 5-40.
-
(1993)
Queueing Systems
, vol.13
, pp. 5-40
-
-
Harrison, J.M.1
Nguyen, V.2
-
20
-
-
0000585232
-
Reflected Brownian motion on an orthant
-
J.M. Harrison and M.I. Reiman, Reflected Brownian motion on an orthant, Ann. Probab. 9 (1981) 302-308.
-
(1981)
Ann. Probab.
, vol.9
, pp. 302-308
-
-
Harrison, J.M.1
Reiman, M.I.2
-
21
-
-
0000505189
-
Network of queues - A survey of weak convergence results
-
A.J. Lemoine, Network of queues - A survey of weak convergence results, Managm. Sci. 24 (1978) 1175-1193.
-
(1978)
Managm. Sci.
, vol.24
, pp. 1175-1193
-
-
Lemoine, A.J.1
-
22
-
-
0002816593
-
A heavy traffic limit theorem for networks of queues with multiple customer types
-
W.P. Peterson, A heavy traffic limit theorem for networks of queues with multiple customer types, Math. Oper. Res. 16 (1991) 90-118.
-
(1991)
Math. Oper. Res.
, vol.16
, pp. 90-118
-
-
Peterson, W.P.1
-
24
-
-
0000279589
-
A multiclass feedback queue in heavy traffic
-
M.I. Reiman, A multiclass feedback queue in heavy traffic, Adv. in Appl. Probab. 20 (1988) 179-207.
-
(1988)
Adv. in Appl. Probab.
, vol.20
, pp. 179-207
-
-
Reiman, M.I.1
-
25
-
-
0002800360
-
A boundary property of semimartingale reflecting Brownian motions
-
M.I. Reiman and R.J. Williams, A boundary property of semimartingale reflecting Brownian motions, Probab. Theory Related Fields 77 (1988) 87-97, and 80 (1989) 633.
-
(1988)
Probab. Theory Related Fields
, vol.77
, pp. 87-97
-
-
Reiman, M.I.1
Williams, R.J.2
-
26
-
-
0002800360
-
-
M.I. Reiman and R.J. Williams, A boundary property of semimartingale reflecting Brownian motions, Probab. Theory Related Fields 77 (1988) 87-97, and 80 (1989) 633.
-
(1989)
Probab. Theory Related Fields
, vol.80
, pp. 633
-
-
-
27
-
-
0001380311
-
Limit theorems for stochastic processes
-
A.V. Skorohod, Limit theorems for stochastic processes, Theory Probab. Appl. 1 (1956) 261-290.
-
(1956)
Theory Probab. Appl.
, vol.1
, pp. 261-290
-
-
Skorohod, A.V.1
-
28
-
-
21144473462
-
Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant
-
L.M. Taylor and R.J. Williams, Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant, Probab. Theory Related Fields 96 (1993) 283-317.
-
(1993)
Probab. Theory Related Fields
, vol.96
, pp. 283-317
-
-
Taylor, L.M.1
Williams, R.J.2
-
29
-
-
0000729824
-
Heavy traffic theorems for queues: A survey
-
ed. A.B. Clarke Springer, Berlin
-
W. Whitt, Heavy traffic theorems for queues: A survey, in: Mathematical Methods in Queueing Theory, ed. A.B. Clarke (Springer, Berlin, 1974) pp. 307-350.
-
(1974)
Mathematical Methods in Queueing Theory
, pp. 307-350
-
-
Whitt, W.1
-
30
-
-
0018977055
-
Some useful functions for functional limit theorems
-
W. Whitt, Some useful functions for functional limit theorems, Math. Oper. Res. 5 (1980) 67-85.
-
(1980)
Math. Oper. Res.
, vol.5
, pp. 67-85
-
-
Whitt, W.1
-
31
-
-
0032260551
-
An invariance principle for semimartingale reflecting Brownian motions in an orthant
-
R.J. Williams, An invariance principle for semimartingale reflecting Brownian motions in an orthant, Queueing Systems 30 (1998) 5-26.
-
(1998)
Queueing Systems
, vol.30
, pp. 5-26
-
-
Williams, R.J.1
-
32
-
-
0032262848
-
Diffusion approximations for open multiclass queueing networks: Sufficient conditions involving state space collapse
-
R.J. Williams, Diffusion approximations for open multiclass queueing networks: Sufficient conditions involving state space collapse, Queueing Systems 30 (1998) 27-88.
-
(1998)
Queueing Systems
, vol.30
, pp. 27-88
-
-
Williams, R.J.1
|