-
1
-
-
0001191115
-
Transient behavior of the M/M/1 queue via Laplace transforms
-
J. Abate and W. Whitt, Transient behavior of the M/M/1 queue via Laplace transforms, Adv. Appl. Probab. 20 (1988) 145-178.
-
(1988)
Adv. Appl. Probab.
, vol.20
, pp. 145-178
-
-
Abate, J.1
Whitt, W.2
-
2
-
-
0012748041
-
Simple spectral representations for the M/M/1 queue
-
J. Abate and W. Whitt, Simple spectral representations for the M/M/1 queue, Queueing Systems 3 (1988) 321-346.
-
(1988)
Queueing Systems
, vol.3
, pp. 321-346
-
-
Abate, J.1
Whitt, W.2
-
3
-
-
0043259291
-
Approximations for the M/M/1 busy-period distribution
-
eds. O.J. Boxma and R. Syski North-Holland, Amsterdam
-
J. Abate and W. Whitt, Approximations for the M/M/1 busy-period distribution, in: Queueing Theory and Its Applications - Liber Amicorium for J.W. Cohen, eds. O.J. Boxma and R. Syski (North-Holland, Amsterdam, 1988) pp. 149-191.
-
(1988)
Queueing Theory and Its Applications - Liber Amicorium for J.W. Cohen
, pp. 149-191
-
-
Abate, J.1
Whitt, W.2
-
4
-
-
27544447048
-
The Fourier-series method for inverting transforms of probability distributions
-
J. Abate and W. Whitt, The Fourier-series method for inverting transforms of probability distributions, Queueing Systems 10 (1992) 5-88.
-
(1992)
Queueing Systems
, vol.10
, pp. 5-88
-
-
Abate, J.1
Whitt, W.2
-
5
-
-
38249008389
-
Solving probability transform functional equations for numerical inversion
-
J. Abate and W. Whitt, Solving probability transform functional equations for numerical inversion, Oper. Res. Lett. 12 (1992) 275-281.
-
(1992)
Oper. Res. Lett.
, vol.12
, pp. 275-281
-
-
Abate, J.1
Whitt, W.2
-
6
-
-
0028460939
-
Transient behavior of the M/G/1 workload process
-
J. Abate and W. Whitt, Transient behavior of the M/G/1 workload process, Oper. Res. 42 (1994) 750-764.
-
(1994)
Oper. Res.
, vol.42
, pp. 750-764
-
-
Abate, J.1
Whitt, W.2
-
7
-
-
0028442469
-
A heavy-traffic expansion for the asymptotic decay rates of tail probabilities in multi-channel queues
-
J. Abate and W. Whitt, A heavy-traffic expansion for the asymptotic decay rates of tail probabilities in multi-channel queues, Oper. Res. Lett. 15 (1994) 223-230.
-
(1994)
Oper. Res. Lett.
, vol.15
, pp. 223-230
-
-
Abate, J.1
Whitt, W.2
-
8
-
-
84973962386
-
Limits and approximations for the busy-period distribution in single-server queues
-
J. Abate and W. Whitt, Limits and approximations for the busy-period distribution in single-server queues, Probab. Engrg. Inform. Sci. 9 (1995) 581-602.
-
(1995)
Probab. Engrg. Inform. Sci.
, vol.9
, pp. 581-602
-
-
Abate, J.1
Whitt, W.2
-
9
-
-
0002047384
-
An operational calculus for probability distributions via Laplace transforms
-
J. Abate and W. Whitt, An operational calculus for probability distributions via Laplace transforms, Adv. Appl. Probab. 28 (1996) 75-113.
-
(1996)
Adv. Appl. Probab.
, vol.28
, pp. 75-113
-
-
Abate, J.1
Whitt, W.2
-
10
-
-
84873008680
-
Limits and approximations for the M/G/1 LIFO waiting-time distribution
-
to appear
-
J. Abate and W. Whitt, Limits and approximations for the M/G/1 LIFO waiting-time distribution, Oper. Res. Lett., to appear.
-
Oper. Res. Lett.
-
-
Abate, J.1
Whitt, W.2
-
11
-
-
21344494520
-
Waiting time tail probabilities in queues with long-tail service-time distributions
-
J. Abate, G.L. Choudhury and W. Whitt, Waiting time tail probabilities in queues with long-tail service-time distributions, Queueing Systems 16 (1994) 311-338.
-
(1994)
Queueing Systems
, vol.16
, pp. 311-338
-
-
Abate, J.1
Choudhury, G.L.2
Whitt, W.3
-
12
-
-
0000290477
-
Exponential approximations for tail probabilities in queues, I: Waiting times
-
J. Abate, G.L. Choudhury and W. Whitt, Exponential approximations for tail probabilities in queues, I: waiting times, Oper. Res. 43 (1995) 885-901.
-
(1995)
Oper. Res.
, vol.43
, pp. 885-901
-
-
Abate, J.1
Choudhury, G.L.2
Whitt, W.3
-
13
-
-
0009454517
-
Calculating the M/G/1 busy-period density and LIFO waiting-time distribution by direct numerical transform inversion
-
J. Abate, G.L. Choudhury and W. Whitt, Calculating the M/G/1 busy-period density and LIFO waiting-time distribution by direct numerical transform inversion, Oper. Res. Lett. 18 (1995) 113-119.
-
(1995)
Oper. Res. Lett.
, vol.18
, pp. 113-119
-
-
Abate, J.1
Choudhury, G.L.2
Whitt, W.3
-
14
-
-
0030234409
-
Exponential approximations for tail probabilities in queues, II: Sojourn time and workload
-
J. Abate, G.L. Choudhury and W. Whitt, Exponential approximations for tail probabilities in queues, II: Sojourn time and workload, Oper. Res. 44 (1996) 758-763.
-
(1996)
Oper. Res.
, vol.44
, pp. 758-763
-
-
Abate, J.1
Choudhury, G.L.2
Whitt, W.3
-
15
-
-
0002652166
-
On the Laguerre method for numerically inverting Laplace transforms
-
J. Abate, G.L. Choudhury and W. Whitt, On the Laguerre method for numerically inverting Laplace transforms, INFORMS J. Comput. 8 (1996) 413-427.
-
(1996)
INFORMS J. Comput.
, vol.8
, pp. 413-427
-
-
Abate, J.1
Choudhury, G.L.2
Whitt, W.3
-
16
-
-
84872987290
-
Numerical inversion of multidimensional Laplace transforms by the Laguerre method
-
to appear
-
J. Abate, G.L. Choudhury and W. Whitt, Numerical inversion of multidimensional Laplace transforms by the Laguerre method, Perf. Eval., to appear.
-
Perf. Eval.
-
-
Abate, J.1
Choudhury, G.L.2
Whitt, W.3
-
17
-
-
0040953853
-
Decompositions of the M/M/1 transition function
-
J. Abate, M. Kijima and W. Whitt, Decompositions of the M/M/1 transition function, Queueing Systems 9 (1993) 323-336.
-
(1993)
Queueing Systems
, vol.9
, pp. 323-336
-
-
Abate, J.1
Kijima, M.2
Whitt, W.3
-
19
-
-
84872983225
-
Convergence rates for M/G/1 queues and ruin problems with heavy tails
-
to appear
-
S. Asmussen and J.L. Teugels, Convergence rates for M/G/1 queues and ruin problems with heavy tails, Adv. Appl. Probab., to appear.
-
Adv. Appl. Probab.
-
-
Asmussen, S.1
Teugels, J.L.2
-
22
-
-
0003571205
-
-
Cambridge Univ. Press, Cambridge, England
-
N.H. Bingham, C.M. Goldie and J.L. Teugels, Regular Variation (Cambridge Univ. Press, Cambridge, England, 1989).
-
(1989)
Regular Variation
-
-
Bingham, N.H.1
Goldie, C.M.2
Teugels, J.L.3
-
24
-
-
0029357705
-
Effective bandwidths in high-speed digital networks
-
C.S. Chang and J.A. Thomas, Effective bandwidths in high-speed digital networks, IEEE J. Sel. Areas Commun. 13 (1995) 1091-1100.
-
(1995)
IEEE J. Sel. Areas Commun.
, vol.13
, pp. 1091-1100
-
-
Chang, C.S.1
Thomas, J.A.2
-
25
-
-
0000708942
-
A theorem on sums of independent positive random variables and its applications to branching processes
-
V.P. Chistyakov, A theorem on sums of independent positive random variables and its applications to branching processes, Theory Probab. Appl. 9 (1964) 640-648.
-
(1964)
Theory Probab. Appl.
, vol.9
, pp. 640-648
-
-
Chistyakov, V.P.1
-
26
-
-
0030171710
-
Computing distributions and moments in polling models by numerical transform inversion
-
G.L. Choudhury and W. Whitt, Computing distributions and moments in polling models by numerical transform inversion, Perf. Eval. 25 (1996) 267-292.
-
(1996)
Perf. Eval.
, vol.25
, pp. 267-292
-
-
Choudhury, G.L.1
Whitt, W.2
-
27
-
-
0001622198
-
Multidimensional transform inversion with applications to the transient M/G/1 queue
-
G.L. Choudhury, D.M. Lucantoni and W. Whitt, Multidimensional transform inversion with applications to the transient M/G/1 queue, Ann. Appl. Probab. 4 (1994) 719-740.
-
(1994)
Ann. Appl. Probab.
, vol.4
, pp. 719-740
-
-
Choudhury, G.L.1
Lucantoni, D.M.2
Whitt, W.3
-
29
-
-
0001432293
-
Degeneracy properties of subcritical branching process
-
J. Chover, P. Ney and S. Wainger, Degeneracy properties of subcritical branching process, Ann. Probab. 1 (1973) 663-673.
-
(1973)
Ann. Probab.
, vol.1
, pp. 663-673
-
-
Chover, J.1
Ney, P.2
Wainger, S.3
-
32
-
-
0001499828
-
On the asymptotic behavior of the distribution of the busy period and the service time in M/G/1
-
A. De Meyer and J.L. Teugels, On the asymptotic behavior of the distribution of the busy period and the service time in M/G/1, Adv. Appl. Probab. 17 (1980) 802-813.
-
(1980)
Adv. Appl. Probab.
, vol.17
, pp. 802-813
-
-
De Meyer, A.1
Teugels, J.L.2
-
33
-
-
0029357488
-
Resource management in wide-area ATM networks using effective bandwidths
-
G. de Veciana, G. Kesidis and J. Walrand, Resource management in wide-area ATM networks using effective bandwidths, IEEE J. Sel. Areas Commun. 13 (1995) 1081-1090.
-
(1995)
IEEE J. Sel. Areas Commun.
, vol.13
, pp. 1081-1090
-
-
De Veciana, G.1
Kesidis, G.2
Walrand, J.3
-
35
-
-
84872996330
-
Exponents for the tails of distributions in some polling models
-
to appear
-
N. Duffield, Exponents for the tails of distributions in some polling models, Queueing Systems, to appear.
-
Queueing Systems
-
-
Duffield, N.1
-
38
-
-
0003421261
-
-
Wiley, New York
-
W. Feller, An Introduction to Probability Theory and its Applications, Vol. II, 2nd edn. (Wiley, New York, 1971).
-
(1971)
An Introduction to Probability Theory and Its Applications, Vol. II, 2nd Edn.
, vol.2
-
-
Feller, W.1
-
39
-
-
84873015390
-
The waiting time distribution for random order of service
-
to appear
-
L. Flatto, The waiting time distribution for random order of service, Ann. Appl. Probab., to appear.
-
Ann. Appl. Probab.
-
-
Flatto, L.1
-
40
-
-
0002542536
-
A waiting line with interrupted service, including priorities
-
D.P. Gaver, Jr., A waiting line with interrupted service, including priorities, J. Roy. Statist. Soc. Ser. B 25 (1962) 73-90.
-
(1962)
J. Roy. Statist. Soc. Ser. B
, vol.25
, pp. 73-90
-
-
Gaver Jr., D.P.1
-
42
-
-
0007197349
-
A limit theorem for priority queues in heavy traffic
-
J.M. Harrison, A limit theorem for priority queues in heavy traffic, J. Appl. Probab. 10 (1973) 907-912.
-
(1973)
J. Appl. Probab.
, vol.10
, pp. 907-912
-
-
Harrison, J.M.1
-
44
-
-
0000497195
-
Parallel and tandem fluid networks with dependent Lévy inputs
-
O. Kella, Parallel and tandem fluid networks with dependent Lévy inputs, Ann. Appl. Probab. 3 (1993) 682-695.
-
(1993)
Ann. Appl. Probab.
, vol.3
, pp. 682-695
-
-
Kella, O.1
-
45
-
-
0019611975
-
Computation of steady-state probabilities for M/M/1 priority queues
-
D.R. Miller, Computation of steady-state probabilities for M/M/1 priority queues, Oper. Res. 29 (1981) 945-958.
-
(1981)
Oper. Res.
, vol.29
, pp. 945-958
-
-
Miller, D.R.1
-
47
-
-
0016556936
-
On the tails of waiting-time distributions
-
A.G. Pakes, On the tails of waiting-time distributions, J. Appl. Probab. 12 (1975) 555-564.
-
(1975)
J. Appl. Probab.
, vol.12
, pp. 555-564
-
-
Pakes, A.G.1
-
50
-
-
84963060324
-
The asymptotic expansion of a function whose operational equivalent is known
-
W.G.L. Sutton, The asymptotic expansion of a function whose operational equivalent is known, J. London Math. Soc. 9 (1934) 131-137.
-
(1934)
J. London Math. Soc.
, vol.9
, pp. 131-137
-
-
Sutton, W.G.L.1
-
52
-
-
84873018012
-
A particular two-priority queue
-
A. Washburn, A particular two-priority queue, Oper. Res. 18 (1970) 1760-1764.
-
(1970)
Oper. Res.
, vol.18
, pp. 1760-1764
-
-
Washburn, A.1
-
53
-
-
0002612004
-
Weak convergence theorems for priority queues: Preemptive-resume discipline
-
W. Whitt, Weak convergence theorems for priority queues: preemptive-resume discipline, J. Appl. Probab. 8 (1971) 74-94.
-
(1971)
J. Appl. Probab.
, vol.8
, pp. 74-94
-
-
Whitt, W.1
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